The density of the spheres is 1.004 gm/cm³.
What is terminal velocity?The maximum velocity attained by an object as it falls through a fluid is known as terminal velocity.
It occurs when the sum of the drag and buoyancy forces acting on the object equals the downward force of gravity. Because the object's net force is zero, it has no acceleration.
The terminal speed = 2.34 cm/s.
The viscosity of water = 1.00 × 10⁻³ CGS unit.
Terminal velocity: v = (2/9)(σ − ρ)gr²/η.
σ = 9vη/{2gr²} + ρ
= (9 × 2.34 × 1.00 × 10⁻³)/(2×980×(0.105/2)²) + 1
= 1.004 gm/cm³
Hence, The density of the spheres is 1.004 gm/cm³.
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1. A 6-kg bowling ball sits on top of a building that is 120 meters tall.
Circle one: KE / GPE / both
Show your work for finding the values of each type of energy the object has:
Mass = GPE=mgh
Gravity (g) = 9.8 m/s2
Height =
2. A 3-kg bowling ball rolls at a speed of 5 m/s on the roof of the building that is 75 m tall.
Circle one: (KE) / GPE / both
Show your work for finding the values of each type of energy the object has:
KE GPE=mgh
Mass = Mass =
Velocity = Gravity (g) = 9.8 m/s2
Velocity2= Height =
KE = ½ (M) (V)2 GPE=mgh
3. A 4-kg bowling ball rolls at a speed of 15 m/s on the ground.
Circle one: (KE) / GPE / both
Show your work for finding the values of each type of energy the object has:
KE KE = ½ (M) (V)2
Mass =
Velocity =
Velocity2=
4. A 15-kg child is tossed up into the air by her parent. The child is 2.5 meters off the ground traveling 3 m/s.
Circle one: KE / GPE / (both)
Show your work for finding the values of each type of energy the object has:
KE GPE
Mass = Mass =
Velocity = Gravity (g) = 9.8 m/s2
Velocity2= Height =
KE = ½ (M) (V)2 GPE=mgh
KE + GPE =
(1) The gravitational potential energy of the bowling ball is 7,056 J.
(2)The potential energy and kinetic energy of the bowling ball are 2,205 J and 37.5 J respectively.
(3) The kinetic energy of the bowling ball is 450 J.
(4) The potential energy and kinetic energy of the child re 367.5 J and 67.5 J respectively.
What is the gravitational potential energy of the bowling ball?The gravitational potential energy of the bowling ball is calculated by applying the following formula;
P.E = mgh
where;
m is the mass of the objecth is the heightg is acceleration due to gravityP.E = ( 6kg x 9.8 m/s² x 120 m )
P.E = 7,056 J
(2) The potential energy and kinetic energy of the bowling ball is calculated as follows;
P.E = (3 x 9.8 x 75 )
P.E = 2,205 J
K.E = ¹/₂ mv²
K.E = ¹/₂ ( 3 ) x (5²)
K.E = 37.5 J
(3) The kinetic energy of the bowling ball is calculated as follows;
K.E = ¹/₂ mv²
K.E = ¹/₂ ( 4 ) x (15²)
K.E = 450 J
(4) The potential energy and kinetic energy of the child is calculated as follows;
P.E = (15 x 9.8 x 2.5 )
P.E = 367.5 J
K.E = ¹/₂ mv²
K.E = ¹/₂ ( 15 ) x (3²)
K.E = 67.5 J
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Which of the following changes would make the water balloon more likely to pop? (Ignore effects of convection within the fluid.)
a) Use a thicker balloon.
b) Use a liquid that has a higher heat capacity than water.
c) Use a liquid that has a lower heat capacity than water.
d) Use a thinner balloon.
The changes that would make the water balloon more likely to pop is: to use a liquid that has a lower heat capacity than water to use a thicker balloon. The correct options are B and C.
What is heat capacity? Heat capacity or also known as thermal capacity is a physical property of matter, defined as the amount of heat to be supplied to an object to produce a unit change in its temperature.
So, Using a liquid that has a lower heat capacity than water and using a thicker balloon will make the water balloon more likely to pop. We know now that heat capacity or specific heat is the amount of heat per unit mass that is required to raise the temperature by 1°C.
This is helpful in determining the processing temperatures along with the amount of heat required for processing and could be helpful for differentiating between two polymeric composites.
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3. calculate rab a. for the resistor network below (10 points) b. for the modified resistor network below (10 points)
To calculate electrical resistance for a resistor network first you have to check whether the resistors are in series or parallel connection and then apply the formula of resistance.
R= V/I where V is the potential difference across the conductor (in volts) and I is the current through the conductor (in amperes).
Electrical resistance is the property of an electrical conductor to oppose the flow of electric current. All materials have their own electrical resistance and is represented by R and its SI unit is ohm.
Resistance can be calculated using the Ohm's law. It is defined as the ratio of the applied voltage to the current.
To calculate the total resistance of a network in series connection,
Total resistance = R₁+ R₂+ R₃
To calculate the total resistance of a network in parallel connection,
Total resistance = 1/R₁+ 1/R₂+ 1/R₃
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Two satellites, A and B, are in different circular orbits about the earth. The orbital speed of satellite A is eighty-three times that of satellite B. Find the ratio (TA/TB) of the periods of the satellites. Answer the one above ^^^^^^^^^^^ But I did a example with this one Two satellites, A and B, are in different circular orbits about the earth. The orbital speed of satellite A is forty times that of satellite B. Find the ratio (TA/TB) of the periods of the satellites. And the answer was 1.56e-05
When the orbital speed of satellite A is eighty-three times that of satellite B, the period ratio Ta/Tn equals 83:1.
What is orbital speed?The orbital speed of an astronomical body or object in a gravitationally bound system is the speed at which it circles around the barycenter or, if one body is substantially more massive than the other entities in the system combined, its speed relative to the center of mass of the most massive body. The object's orbital speed is the rate at which it circles around the barycenter of a system, which is generally a big body. The earth's orbital speed around the sun is 108,000 km/h. The orbital speed of a planet varies with its distance from the Sun. The greater the strength of the Sun's gravitational attraction on a planet, the quicker it travels.
Here,
The orbit of the two satellites is circular.
Also, Orbital speed of A is 2 times the orbital speed of B.
vₐ=2vₙ
v=2T
vₐ=2Tₐ
2vₙ=2Tₐ
vₙ=2Tₙ
Tₐ/Tₙ=83/1
The ratio Tₐ/Tₙ of the periods of the satellites is 83:1 when the orbital speed of satellite A is eighty-three times that of satellite B.
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Which of the following accurately details the relationship between wavelength of illumination, lens quality, magnification, and the limit of resolution for light microscopy?A) As shorter wavelength illumination and better quality lenses are used, magnification will increase and the limit of resolution will decrease.B) As shorter wavelength illumination and better quality lenses are used, magnification will decrease and the limit of resolution will decrease.C) As shorter wavelength illumination and better quality lenses are used, magnification will increase and the limit of resolution will increase.D) Magnification and limit of resolution are independent of wavelength of illumination and lens quality for light microscopy.
C) As shorter wavelength illumination and better quality lenses are used, magnification will increase and the limit of resolution will increase.
What is wavelength illumination?Wavelength illumination is a way of measuring the intensity of a light source in terms of the wavelength of the light being emitted.
Light microscopes use light of different wavelengths and high-quality lenses to magnify and enhance images. Shorter wavelength illumination, such as UV light, can provide greater resolution because it has a higher frequency than longer wavelengths, such as visible light. Additionally, higher quality lenses provide greater magnification and allow for a larger field of view. Thus, as shorter wavelength illumination and better quality lenses are used, magnification will increase and the limit of resolution will also increase.
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A block weighing 50 N is lifted from A to C.
a) Find the work done against the gravity (the work done by the external force which lifted the block). Answer in units of J.
b) Find the difference ∆U = UA − UC of the potential energies.
The force F is equal to 50 N and the height h is not given, we cannot calculate the exact value of ∆U.
What is force?Force is an influence that can cause an object to change its motion, direction, shape, or stress state. It is a vector quantity, meaning it has both magnitude and direction.
a) The work done against gravity is equal to the force of gravity multiplied by the distance the block was lifted:
Work = F × d = 50 N × d
Since the distance is not given, we cannot calculate the exact amount of work done.
b) The potential energy of the block at point A is equal to the force of gravity (F) multiplied by the height (h) at which the block was initially located:
UA = F × h
Similarly, the potential energy of the block at point C can be calculated as:
UC = F × 0
Since the block is lifted from A to C, the difference of potential energies is given by:
∆U = UA − UC = F × h − 0 = F × h
Since the force F is equal to 50 N and the height h is not given, we cannot calculate the exact value of ∆U.
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you are using a wrench to rotate a bolt around its center. consider all the forces in (figure 1), indicated by the arrows, to have the same magnitude. which of the following scenarios apply zero torque?
The following situations use no torque. C=D, A,B,E,C,D.
Describe a magnitude example.Size is referred to as magnitude. A automobile is traveling more quickly than a bike, for instance, when it comes to speed. In this case, the car is moving faster than the bike by a larger margin. It reveals the direction or size, whether absolute or relative, in which an object moves.
How big is a vector supposed to be?The vector's length determines its magnitude. The symbol for the vector's magnitude is a. To learn more about a vector's magnitude, see to its introduction. Vector magnitude formulas for two dimensions.
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scientists explored how hoverflies detect motion by testing their response to a free-fall condition. hoverflies were dropped from rest in a 40-cm-tall enclosure. air resistance was not significant, and the flies could easily withstand a crash landing. the illumination in the enclosure and the patterning of the walls were adjusted between trials. hoverflies dropped in darkness were generally not able to detect that they were falling in time to avoid crashing into the floor, while hoverflies dropped in a lighted enclosure with striped walls were generally able to avoid this fate. the findings imply that hoverflies rely on a visual rather than a kinesthetic sense to detect the condition of free fall. suppose a hoverfly detects that it is falling 150 ms after being dropped, a typical time, and then starts beating its wings.
The acceleration of hoverflies is 13.879[tex]\frac{m}{s^{2} }[/tex].
It has fallen height from 0.11m
Now, the remaining height is 0.29m.
When an object shifts in relation to time, there are two ways to measure the shift in the object's position. One may take into account the actual distance traveled or the distance that is shortest between the two points.
Here in lies the distinction between two incredibly basic physics ideas. Distance is the first unit of measurement used to determine how an object's location has changed, while displacement is the second.
Distance is the real unit used to describe how much an object's position has changed overall over time. Since it is a scalar quantity, all that is provided is the magnitude.
Now using third equation of motion,
[tex]v^{2}- u^{2}=2as[/tex]
[tex]v^{2}-0=2\times-9\times0.11[/tex]
[tex]v^{2}=-2.2[/tex]
v=1.5
[tex]v^{2}- u^{2}=2as[/tex] as remaining s=0.29 and v of crashing as it goes downwards which negative. 0 and u= 1-5 as its downward now by this find the acceleration.
[tex]v^{2}- u^{2}=2(a-10)s[/tex]
[tex]0^{2}- 1.5^{2}=2(a-10)\times0.29[/tex]
a=13.879[tex]\frac{m}{s^{2} }[/tex]
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using the numbered direction arrows shown, indicate (by number) which direction arrow best represents the direction of the quantities listed below. if the quantity has zero magnitude or cannot be determined, indicate this with a 9 or 10, respectively.
The position vector at position D is shown by arrow 1, the change in position (displacement) between positions D and F is shown by arrow 2, and the average net force and change in velocity between positions D and F cannot be calculated.
Arrow 1 is a representation of the position vector for position D.
Arrow 2 illustrates the shift (position change) between positions D and F.
Arrow 3 illustrates the undeterminable velocity change between positions D and F.
Arrow 4 denotes the change in momentum from position D to position F. arrow 5 illustrates the indeterminable average net force between positions D and F. The vector's position is.
Arrow 6 displays position E.
Arrow 7 illustrates the positional shift between locations D and E.
Arrow 8 illustrates the difference in velocity between positions D and E.
Arrow 9 depicts the difference in momentum between positions D and E.
The indeterminable average net force between positions D and E is symbolized by arrow 10 and cannot be calculated.
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The question is -
Using the numbered direction arrows shown, indicate (by number) which direction arrow best represents the direction of the quantities listed below. If the quantity has zero magnitudes or cannot be determined, indicate using the corresponding number listed below. The position vector at location D _____ The change in position (the displacement) between location D and location F _____ The change in velocity between location D and location F _____ The change in momentum between location D and location F _____ The average net force between location D and location F _____ The position vector at location E _____ The change in position (the displacement) between location D and location E _____ The change in velocity between location D and location E _____ The change in momentum between location D and location E _____ The average net force between location D and location E.
An ideal gas is contained in a cylinder of fixed length and diameter. Eighty joules of heat is added while the piston is held in place. The work done by the gas on the walls of the cylinder is
A. less than 80 J
B. 80J
C. not spesified by the information given.
D. 0J
E. more than 80J
The answer is C. Option C is the correct option. Not Specified by the Information Given.
The amount of work done by the gas on the walls of the cylinder is not specified by the information given. The amount of work done by the gas on the walls of the cylinder depends on the pressure of the gas, the temperature of the gas, and the volume of the gas.
Since none of these parameters are specified, it is not possible to determine the amount of work done by the gas on the walls of the cylinder. However, it is possible to determine the change in internal energy of the gas. Since 80 J of heat was added to the gas, the change in internal energy of the gas is 80 J.
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Suppose you used a hot pot to convert a 150 g piece of ice that was initially at -15°C into liquid water at 50°C.
a. Represent this process in one complete energy-system diagram covering the entire interval. b. How much heat is added to complete this entire process?
c. if your hot pot has a power rating of 600 watts, show how to find how long it will take to complete the process. (make sure you are comfortable using standard units of energy, and that you understand the relation of power to energy. hint: what are watts?)
(a) The energy-system diagram is shown in the picture attached.
(b) The heat energy added is 86,295 Joule.
(c) It takes 144 seconds to complete the process.
We solve the problem with the formula for heat energy.
What is heat?Heat is the energy that is transferred from higher to lower temperature. The quantity of heat energy (also called thermal energy) can be calculated by
Q = mcΔT, when there is change in temperature.Q = mL, when there is no change in temperature.A 150 g piece of ice is converted from -15°C to 50°C in a hot pot. The power rate is 600 Watts.
a. Make the energy-system diagram!
b. Total heat energy added! (Q total)
c. Time to complete the process! (t)
The diagram picture is shown in the attachment. The piece of ice is heated from -15 degrees Celsius to zero by the energy of Q₁. When it reaches zero temperature, the ice is melted by the energy of Q₂. After all the solid ice melts, the liquid water continues to rise in temperature up to 50 degrees Celsius by the energy of Q₃.
The scientific data shows
Specific heat of ice, c_ice = 0.5 cal/g°C.Specific heat of water, c_water = 1 cal/g°C.Laten heat of fusion, L_fusion = 80 cal/g.1 calories = 4.184 JouleThe total heat energy absorbed is
Qt = Q₁ + Q₂ + Q₃
Qt = mcΔT (ice) + mL (melting) + mcΔT (water)
Qt = m(c_ice × ΔT + L_fusion + c_water × ΔT)
Qt = 150[0.5 × (0-(-15)) + 80 + 1 × (50-0)]
Qt = 150[7.5) + 80 + 50]
Qt = 150[137.5]
Qt = 20,625 calories
Convert the unit from calories to Joule!
Qt = 20,625 × 4.184 Joule
Qt = 86,295 Joule
The time taken to complete the entire process would be
P = Q/t
600 = 86,295/t
t = 86,295/600
t ≈ 144 seconds
Hence, the process in the diagram as shown in the picture attached has the total heat energy of 86,295 Joule. It will take 144 seconds to complete the process.
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Which of the following scenarios best describes what Erik Erikson thought someone might experience in early adulthood?p
The clearest example of what Erik Erikson believed a person might go through in early adulthood Mohammed has tried dating a few times but has not had much luck, so he has decided to give it up.
The way in which Erikson's theory handled development over the lifetime, including old age, set it apart from many others. We are driven to investigate intimate connections as young people because we want to build our own relationships. Young adulthood, the sixth stage in Erikson's theory of psychosocial development, occurs between the ages of 18 and 40. The clearest example of what Erik Erikson believed a person might go through in early adulthood Mohammed has tried dating a few times but has not had much luck, so he has given up.
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a heat engine that accepts heat from and rejects heat to the same thermal energy reservoir is an example of a device that violates which of the following? multiple choice question. first law clausius statement of the second law kelvin-planck statement of the second law
A heat engine is in violation of the second rule of thermodynamics if it claims to have a thermal efficiency higher than the Carnot efficiency.
In science, what is an energy?Energy is characterized as having the "ability to accomplish work, which is the capacity to apply a force sufficient to move an object." Despite this unclear definition, the concept is essentially quite straightforward: electricity merely refers to the force that drives objects. Potential and kinetic energy are the two different categories.
Easy definition of energyThe ability to perform work is the most basic definition of energy. Things alter and move because of energy. It comes in many different shapes and is all around us. Cooking food requires energy.
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suppose you have a reaction vessel initially containing 13.5 moles of sulfur dioxide and 11.2 moles of oxygen.
When initially containing 13.5 moles of sulfur dioxide and 11.2 moles of oxygen, the remaining moles of O2 are 4.45 moles.
What is reaction?All forces occur in pairs, as described by the third of Newton's laws of motion in classical mechanics, so that if one object exerts a force on another, the second object exerts an equal and opposite reaction force on the first. A reaction force is the result of an opposite-direction action force. Newton's third law of motion addresses these two forces, referred to as action and reaction forces. Newton's third law states that there is an equal and opposite reaction to every action.
Here,
2 ℎ ℎ 11.2 O2=11.2*2=22.4 moles
mols of SO3 produced=13.5*2/2
13.5 mols
mols of O2 consumed=13.5*1/2
=6.75 mols
mols of O2 remaining=11.2-6.75
=4.45 mols of O2
The moles of O2 remaining is 4.45 moles when initially containing 13.5 moles of sulfur dioxide and 11.2 moles of oxygen.
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Complete question:
When initially containing 13.5 moles of sulfur dioxide and 11.2 moles of oxygen, the remaining moles of O2 are 4.45 moles. What is reaction? What amount of oxygen is remaining?
a 130 gg air-track glider is attached to a spring. the glider is pushed in 11.2 cmcm and released. a student with a stopwatch finds that 14.0 oscillations take 9.00 ss . for help with math skills, you may want to review: solving radical equations for general problem-solving tips and strategies for this topic, you may want to view a video tutor so
A 130 gg air-track glider is attached to a spring. the glider is pushed in 11.2 cmcm and released. a student with a stopwatch finds that 14.0 oscillations take 9.00 ss .
The period (T) of a spring-mass system can be calculated using the formula:
T = 2 * pi * sqrt(m / k)
where T is the Time period in seconds, m is the mass of the glider in kilograms, and k is the spring constant in N/m.
The frequency (f) of a spring-mass system can be calculated using the formula:
f = 1 / T
where f is the frequency in hertz (Hz) and T is the period in seconds.
The angular frequency (w) is given by :
w = 2 * pi * f
The amplitude (A) of a spring-mass system can be calculated using the formula:
A = x / (2 * pi)
where x is the displacement in meters.
You can use these formulas to find the Period, frequency, angular frequency and amplitude of the given spring-mass system.
Keep in mind that the displacement of the spring (11.2 cm) needs to be converted to meters (0.112 m) before calculating the amplitude.
Also, you have to convert the mass of the glider from gg to kg before applying the formulas.
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make the selections which make the statements always true. day time when the sun is above the horizon. the sun shines only if it is daytime. you are a highly educated person if you have an electrical engineering degree. in the united states, you can vote only if you are 18 or older. you will see the mona lisa in person if you visit paris.
a. When the sun is above the horizon, it is daytime.
b. If you have a degree in electrical engineering, you are highly educated.
c. In the United States, anyone over the age of 18 can vote.
d. If you go to Paris, you can see the Mona Lisa.
a. When the sun is above the horizon, it is daytime. The sun is usually visible in the sky during the day and provides light to the earth. However, there are exceptions. B. During a solar eclipse or at the poles where the sun may not be visible for a period of time.
b. If you have a degree in electrical engineering, you are highly educated. This statement is not necessarily true, as a degree in electrical engineering does not necessarily mean that the person is highly educated.
A person may have a degree in electrical engineering, but may not have knowledge or skills in other areas.
c. In the United States, anyone over the age of 18 can vote. This statement is true. The 26th Amendment to the United States Constitution gives citizens over the age of 18 the right to vote.
d. If you go to Paris, you can see the Mona Lisa. This statement is not necessarily true. The Mona Lisa is a famous painting and is on display at the Louvre Museum in Paris, but there are many other works of art and attractions in the city and there is no guarantee that you will see the Mona Lisa during your visit.
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forensic science 3.05 make a claim about the electrophoresis results and a possible match to a suspect. then, provide evidence and reasoning to support your claim
A recurrent offender is present at work when two crime scene profiles match. This DNA evidence may be used by the police to support other evidence and aid in a criminal prosecution.
Complete DNA profiles provide extremely reliable matches and can be used to prove a suspect's guilt or innocence in a criminal case. After being put into a gel and exposed to an electrical field, the DNA fragments are electrophoretically sorted into different bands. To make these bands visible to imaging methods, a radioactive dye can be used to color them.
DNA fingerprints are produced via gel electrophoresis using samples taken from crime scenes and suspects. A similarity between samples identifies the criminal suspect.
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When two crime scene profiles match, a repeat offender is present at work. The authorities may use this DNA proof to back up other evidence and build a criminal case.
A suspect's guilt or innocence in a criminal case can be established using whole DNA profiles, which offer incredibly reliable matches. The DNA fragments are electrophoretically separated into distinct bands after being placed in a gel and subjected to an electrical field. These bands can be coloured with a radioactive dye to make them apparent to imaging techniques.
Gel electrophoresis is used to create DNA fingerprints from samples obtained from crime scenes and suspects. The criminal suspect is identified by similarities between samples.
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four charges are placed on the vertices of a square and one at its center. using the symmetry of the arrangement, determine the direction of the force on the positive charge q in figure above, give that :
qa=qb= +7.50nC and qc=qd = -7.50nC
a. up
b. down
c. left
d. right
The direction of the direction of the force on the positive charge q will be towards left.
Lets assume that the Q is at the center of a coordinate graph, qa = qb = +7.50 nC are in third and second quadrant and qc = qd = -7.50 nC are in first and fourth quadrant. Then
F = k[-qQ(r₀-r₁)/(r₀-r₁)³ + qQ(r₀-r₂)/(r₀-r₂)³ + qQ(r₀-r₃)/(r₀-r₃)³ + -qQ(r₀-r₄)/(r₀-r₄)³]
According to the vectors
F = kqQ/r²[-(i+j) + (-i+j) + (-i-j) + -(i-j)]
F = kqQ/r²[-i -j + -i + j + -i -j + -i + j]
F = kqQ/r²[-4I]
I vector represent x-axis which is negative towards the left. As we can see that the resultant vector is in the direction of negative i-vector. As we assumed that the Q is at the center of the coordinate graph, so the direction of force will be left to the charge Q. Hence the correct option is C.
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true/false. . dynamic viscosity relates to deformation rate of a uid in response to a shear stress. in class, we discussed how it changes with temperature for liquids and gases. here, we present dierent ways to model the temperature-viscosity relationship.
true, The rate at which a fluid deforms in response to a shear stress is referred to as its dynamic viscosity. It is a measurement of a fluid's resistance to deformation, and the Greek letter mu () is frequently used to represent it.
Absolute viscosity, commonly referred to as dynamic viscosity, is a measurement of a fluid's flow resistance. The amount of internal friction that a fluid possesses dictates how much force is necessary to move the fluid; this is a characteristic of the fluid. The amount of internal friction and force needed to move a fluid increases with its viscosity. The Greek letter mu () is frequently used to represent dynamic viscosity, which is quantified in units called pascal-seconds (Pas). It depends on temperature and pressure, and it may be influenced by things like the presence of suspended particles, dissolved gases, and fluid flow velocity. Pressure decreases may be calculated using dynamic viscosity.
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What cause-and-effect relationships identified in the spring-loaded cart can be applied to the rocket sled?
Cause
Effect
1. Increase in thrust: The same cause-and-effect relationship applies to a rocket sled. When the thrust of the rocket sled is increased, it will cause an increase in the acceleration of the sled.
What is acceleration?Acceleration is the rate at which an object's speed or velocity changes over time. It is a vector quantity, meaning it has both magnitude and direction. Acceleration can be caused by a number of factors, including forces, changes in gravity, or changes in direction. Acceleration is the second derivative of velocity with respect to time, or the rate of change of the velocity vector.
This is because the increased thrust generates more force, which in turn causes the sled to accelerate faster.
2. Increase in weight: The same cause-and-effect relationship applies to a rocket sled. When the weight of the rocket sled is increased, it will cause a decrease in the acceleration of the sled. This is because the increased weight will require more force to accelerate the sled, thus resulting in a slower acceleration.
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rank the six combinations of electric charges on the basis of the electric force acting on q1 . define forces pointing to the right as positive and forces pointing to the left as negative. rank in increasing order by placing the most negative on the left and the most positive on the right. to rank items as equivalent, overlap them.
Smallest are: q1 = +1 nc, q2 = +1 nc, q3 = +1 nc and q1 = -1 nc, q2 = -1 nc, q3 = -1nc
Third Largest: q1 = +1 nc, q2 = +1nc, q3 = -1 nc
Second Largest: q1 = +1 nc, q2 = -1 nc, q3 = +1 nc
Largest : q1 = +1 nc, q2 = -1 nc, q3 = -1 nc and q1 = -1 nc, q2 = +1 nc, q3 = +1 nc
(Refer to image)
Electric charge is the physical property of matter that causes charged matter to experience a force when placed in an electromagnetic field. Electric charge can be positive or negative (commonly carried by protons and electrons respectively). Like charges repel each other and unlike charges attract each other.The electrostatic force between 2 charges is; F = k•q1•q2/r²Where r is the distance between the 2 charges q1 and q2 and k is coulombs constant.
Thus;F ∝ q1•q2/r²
The net force on the charge q1 is the sum of the forces on charge q2 and q3.If the two charges are opposite, the force is an attractive force while if the two charges are similar, the force is a repulsive force.Thus, if the combination has same type of charges, i.e;(+1,+1,+1) or (-1,-1,-1), the force will be very small.
So, now the order of forces from smallest to largest is;
Smallest are: q1 = +1 nc, q2 = +1 nc, q3 = +1 nc and q1 = -1 nc, q2 = -1 nc, q3 = -1nc
Third Largest: q1 = +1 nc, q2 = +1nc, q3 = -1 nc
Second Largest: q1 = +1 nc, q2 = -1 nc, q3 = +1 nc
Largest are: q1 = +1 nc, q2 = -1 nc, q3 = -1 nc and q1 = -1 nc, q2 = +1 nc, q3 = +1 nc
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True /False. An independent voltage source always keeps the potential difference between its terminal equal to its nominal voltage
False. An independent voltage source is a two-terminal device that can maintain a fixed potential difference between its terminals, but it does not necessarily keep the potential difference equal to its nominal voltage.
What is nominal voltage?Nominal voltage is an electrical term used to describe the average, or expected, voltage of an electric circuit. It is typically used as a reference point for other measurements. Nominal voltage is typically defined as the voltage that is expected to be available under normal operating conditions, and it is often used to indicate the voltage that is desired for a particular device or system. Nominal voltage is typically specified as a range, with the lower end of the range representing the minimum acceptable voltage and the higher end of the range representing the maximum acceptable voltage.
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if the car decelerates uniformly along the curved road from 25 m>s at a to 15 m>s at c, determine the acceleration of the car at b.
If the car decelerates uniformly along the curved road from 25 m>s at a to 15 m>s at c. The acceleration of the car at b is 1.18m/s²
We are given the speed of the car at point A is Va= 25 m/s, and the speed of the car at point C is Vc= 15 m/s.
Calculating the car's acceleration at B is the task at hand.We have the distance between points A and B as dAB = 250 m
We have the distance between points A and B as dAC = 250 m + 50 m= 300m
We have the distance between points A and B as dBC = 50m
We have the radius of the track as βB = 300m
The formula to calculate the tangential acceleration of the car is,
(vc)² = (vA)² + 2at (dAC)
Substitute the values in the above expression.
(15 m/s)² = (25 m/s)² + 2at (300m)
at = - 0.67 m/s²
The formula to calculate the velocity of the car at point B is,
(vB)²= (vA)² + 2at (dAB)
Substitute the values in the above expression.
(vB)²= (25 m/s)² + 2( - 0.67 m/s) (250m)
vB = 17.03 m/s
The formula to calculate the normal acceleration of the car is,
an = (vB)²÷β B
Substitute the values in the above expression.
an= (17.03m/s)² ÷ 300m
an = 0.97 m/s²
The formula to calculate the acceleration of the car is,
a=√ (at)² + (an)²
Substitute the values in the above expression.
a = √ (- 0.67 m/s)² + (0.97 m/s²)²
a = 1.18 m/s²
Therefore, the answer is 1.18 m/s²
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from the top of a building, object 1 with mass m is thrown straight downward, and object 2 (also with mass m ) is thrown horizontally. both are thrown with the same speed. compare the speeds with which the objects hit the ground. from the top of a building, object 1 with mass is thrown straight downward, and object 2 (also with mass ) is thrown horizontally. both are thrown with the same speed. compare the speeds with which the objects hit the ground. object 1 hits the ground with a greater speed. object 2 hits the ground with a greater speed. both objects hit the ground with the same speed.
They'll be moving at the same speed when they reach the street.Weight (W), which is a force exerted on all objects on Earth by gravity, is a force.
Identify the speed?Weight (W), which is a force exerted on all objects on Earth by gravity, is a force. A body can only accelerate through gravity (g) when it is falling freely. Because of this, velocity increases.
Weight (W), which is a force exerted on all objects on Earth by gravity, is a force.
As a result of gravity, both objects' velocities will alter.
This equation yields the same velocity for both items when one is hurled up and the other down:
where v is the end speed, v0 is the starting speed, h is the height difference between the building and the street, and g is the acceleration brought on by gravity.
Assuming upward speed to be positive.
They'll be moving at the same speed when they reach the street.
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in a vacuum, light travels 300,000 km every second. examine the following figure, which shows how long it takes for light to travel particular distances, and then scroll down to the question at the end.
If the Sun's light suddenly went out, we would not notice it for at least 8 minutes from Earth. When we look at the Andromeda Galaxy, we are seeing it as it was millions of years ago. At the speed of light, communications between Earth and astronauts on the Moon would be significantly delayed.
What is vacuum?A vacuum is a volume that is devoid of substance, often known as 'free space'. Only partial vacuums are achievable in practice. A vacuum is a space in which there is no matter or where the pressure is so low that any particles in the space have no effect on any activities that are taking place. It is a state that is far below normal atmospheric pressure and is measured in pressure units (the pascal). A vacuum is defined in science as a space devoid of substance or air. That's the simple definition, however there are always some particles of stuff in a vacuum, but far fewer than the air you're inhaling.
Here,
If the Sun's light were abruptly extinguished, we would not notice it for more than 8 minutes from Earth. When we look at the Andromeda Galaxy, we are gazing back in time to how it appeared millions of years ago. There would be a substantial delay in communications between Earth and astronauts on the Moon at the speed of light.
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for each set of questions below think about which quantities cant change when a parallel plate is isolated
What is the capacitance of the parallel plate:
The capacitance of the parallel plate cannot change when it is isolated because it is determined by the physical characteristics of the plate, such as its area, distance between plates, and permittivity of the material between them. These characteristics do not change when the plate is isolated.
Capacitance is a measure of the ability of a component or system to store electrical energy. It is the ratio of the electric charge on a conductor to the potential difference between its ends. The unit of capacitance is the Farad (F). Capacitors are components that are used to store electrical energy and are found in many electronic circuits. They consist of two conductive plates separated by an insulating material called a dielectric.
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A tuning fork with a frequency of 512 Hz is struck at the same time as a guitar string. If 24 beats are heard in
6.0 s, find the possible frequency or frequencies of the guitar string.
The possible frequencies of the guitar string are 488 Hz and 536 Hz.
What are the possible frequencies of the guitar string?
The possible frequency or frequencies of the guitar string is calculated by applying beat frequency formula.
Fb = Ft - Fg or
Fb = Fg - Ft
where;
Fb is the beat frequencyFg is frequency of the guitarFt is the frequency of the tuning forkFg = Ft - Fb
Fg = 512 Hz - 24 Hz
Fg = 488 Hz
Fg = Fb + Ft
Fg = 24 Hz + 512 Hz
Fg = 536 Hz
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mass of gold is 4.295 g leaf of 3.449 um thickness
(a) The area of the leaf is 0.064 m².
(b) The length of the fiber is 10,359.2 m.
What is the area of the leaf?
The area of the leaf is calculated from the volume of the leaf, while the volume of the leaf is calculated from the density and mass of the leaf.
V = m / ρ
where;
V is the volume of the gold leafm is the mass of the gold leafρ is the density of the gold leafV = ( 4.295 g ) / ( 19.32 g/cm³ )
V = 0.22 cm³ = 0.22 x 10⁻⁶ m³
Ah = V
A = V / h
where;
h is the thickness of the leadA is the area of the leafA = ( 0.22 x 10⁻⁶ m³ ) / ( 3.449 x 10⁻⁶ m )
A = 0.064 m²
The length of the fiber is calculated as follows;
V = πr²h
h = V / πr²
h = ( 0.22 x 10⁻⁶ m³ ) / ( π x 2.6 x 10⁻⁶ m x 2.6 x 10⁻⁶ m )
h = 10,359.2 m
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Can a charged particle have a net negative charge of 6.4 x 10-19
C? Take the elementary charge (the charge of a single electron) to
be -1.6 x 10 19 C.
No, because the particle has a positive charge.
Yes, because the particle has excess charges.
0/1 pts
No, because the particle has deficiency of charges
(missing electrons)
Yes, because the particle has an integer number of excess
electrons.
By dividing an object's charge by its basic charge, one can calculate the quantity of extra electrons (or protons, in the case of positive charges), in a system.
What material that has an excess of electrons?When there are lots of free electrons in a material, it is said to have high electron mobility, but when there are few or no free electrons, it is said to have low electron mobility. Here are some typical illustrations of conductors and insulators: Conductors.It indicates that metals contain extra electrons in their outermost shell that are free to move about. These extra electrons act as charge carriers and are physically transferred when a current is running.To convert, multiply the net charge, Q, by the factor 1.6 x 10 x 19 to obtain the charge's value in basic charge units. This is also equivalent to how many extra electrons are present on the thing.To learn more about charge refer to:
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The acceleration of a particle is directly proportional to the square of the time t. When t=0, the particle is at x=24m. Knowing that at t=6s, x=96m and v=18m/s, express x and v in terms of t.
Answers are: x(t) = t^4/108 + 10t + 24, v(t) = t^3/27 + 10
Need to see the solution to understand.
The position and velocity of the particle are [tex]x(t) = 2t^2 + 24[/tex] and [tex]v(t) = 4t[/tex]
The problem states that the acceleration of a particle is directly proportional to the square of the time, which means that the equation for acceleration (a) is of the form [tex]a = k*t^2[/tex], where k is a constant.
Given that the position of the particle at t = 0 is x = 24m, we can use this to find the initial velocity (v0) using the equation: [tex]x = x0 + v0t + 1/2a*t^2[/tex].
Since we know that x = 24m at t = 0, we can substitute these values into the equation and get:
[tex]24 = 24 + v00 + 1/2k*0^2[/tex]
This simplifies to v0 = 0.
Now, we can use the information that at t = 6s, x = 96m and v = 18m/s to find the value of k. We know that [tex]x = x0 + v0t + 1/2at^2[/tex] and v = v0 + at.
So we can substitute these values into the equation and get:
[tex]96 = 24 + 0 + 1/2k6^2 = 24 + 1/2k36[/tex]
18 = 0 + k*6
Solving the above two equations, we get k = 4.
So the equation for acceleration is [tex]a = 4*t^2[/tex].
We can use this equation to find the equations for position and velocity by using the following formulas:
[tex]x(t) = x0 + v0t + 1/2at^2[/tex]
[tex]v(t) = v0 + at[/tex]
Substituting the values we know, we get:
[tex]x(t) = 24 + 0 + 1/2*(4t^2) = 2t^2 + 24[/tex]
[tex]v(t) = 0 + 4t = 4t[/tex]
So, the position and velocity of the particle are given by [tex]x(t) = 2t^2 + 24[/tex]and [tex]v(t) = 4t[/tex] respectively.
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