a) Force exerted by the rope on the crate is equal to 312 N.
b) Force exerted by the rope if the crate were being raised with an acceleration of 2.0 m/s² is 472N.
What is force?In science, a force is a push or a pull in a specific direction. When one object interacts with another object, forces are created.
In physics, arrows are used to represent forces. An arrow pointing in the same direction will indicate the force's direction.
Given,
mass of a crate, m = 40 kg
Acceleration of crate, a = 2 m/s²
a) As carte is falling down, net force exerted by rope on the carte is given by : F = m(g-a)
F = 40(9.8-2)
F = 312 N
∴ required force exerted by the rope on the crate is equal to 312 N.
b) If the crate was raised with an acceleration of 2.0 m/s², than:
F = m(g+a)
F = 40 (9.8 + 2)
F = 472 N
∴ required force exerted by the rope if the crate were being raised with an acceleration of 2.0 m/s² is 472N.
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a 12-kg hammer strikes a nail at a velocity of 7.5 m/s and comes to rest in a time interval of 8.0 ms. (a) what is the impulse given to the nail? (b) what is the average force acting on the nail?
The impulse of given nail is -90 kg-m/s .
The average force acting on nail is 11250 N .
What is impulse and force?Considering that,
The hammer weighs 12 kg.
The hammer's initial speed when that strikes a nail is u = 7.5 m/s.
At last, it comes to rest when v = 0.
The time is t = 8ms = 0.008 s.
Let J be the impulse applied to the nail in (a). An item receives an impulse equal to a change within the momentum. It comes from:
J = m(v - u)
v = 0
J = -12kg x 7.5 m/s
J = -90 kg-m/s
The impulse is causing motion to move in the opposite direction.
The following provides another definition of impulse:
J = F X t
The average force pushing against the nail is F.
F = J / t
F = 90 kg-m/s / 0.008 s
F = 11250 N .
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The SI unit for the electric for is __ .
A) Coulomb
B) Newtons
C) Joules
D) Meters
Pick ONE only.
Answer:
The SI unit for the electric for is
A) Coulomb
Yet some men say in many parts of England that king Arthur is not dead, but had by the will of our Lord Jesu into another place. And men say that he shall come again, and he shall win the Holy Cross. Yet I will not say that it shall be so, but rather I would say: here in this world he changed his life. And many men say that there is written upon his tomb this verse: HIC IACET ARTHURUS, REX QUONDAM REXQUE FUTURUS (Here lies Arthur, the once and future king. )A. ) This passage ends the Morte Darthur by holding out the possibility that Arthur may one day return. B. ) This passage ends with romance displacing history. C. ) This passage evinces Malory’s nostalgia for the past. D. ) Both A and C. E. ) A, B, and C
However, some people in many regions of England claim that King Arthur is still alive and has only been transferred by the will of our Lord Jesus to another location. They also assert that he will return and claim the holy cross.
What a name is King Arthur
He was a warrior, a knight, and a king who defeated giants, witches, and other creatures while leading a group of brave adventurers on numerous perilous journeys. He is renowned for bringing the peoples of his realm together and for his Knights of the Round Table. Even though he met a horrible end, he is still revered and honored today in every country. Although some historians suggest that King Arthur was a real warrior who led British armies against Saxon invaders in the sixth century, historians cannot corroborate his existence. Up until his son Mordred reveals the relationship between his queen and best friend, Arthur continues to be a decent and honourable king. Throughout all of these tales, Guinevere is either kidnapped by a villainous lord and must be freed, or other ladies are in need of a brave knight's help
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which region of jupiter generates its magnetic field? view available hint(s)for part a which region of jupiter generates its magnetic field? metallic hydrogen layer molecular hydrogen layer gaseous atmosphere rocky core
The outer core of Jupiter, which is made up of liquid metallic hydrogen, is where electrical currents originate that create the planet's internal magnetic field.
Explain about the outer core?
The third layer of the Earth is its outer core. Iron and nickel, together with trace amounts of other materials, make up the majority of this layer, which is the only one that is liquid. The Earth's magnetic field is created by the outer core. The iron inside the liquid outer core of Earth flows about as it rotates on its axis.
Above the solid inner core of the Earth and below its mantle is a liquid layer made of iron and nickel that is about 2,261 km thick. Its outer boundary is located 2,890 km (1,800 mi) below the surface of the Earth.
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a resistor r is connected to the terminals of a battery with a potential difference v. as a result of the connection, a direct current i passes through the resistor. if the resistor is replaced by a different resistor with a resistance 3r, what effect, if any, will there be on the current passing through the resistor?
On the basic of Ohm's law , we can see that when resistance increase on replacing then current passing through resistance decreses.
In the given question we have,
resistor r is connected of a battery with potential difference v and a direct current i , passing through the resistor.
According to Ohm's law , the current passing through the condutor is directly proportional to the voltage applied to it and inversely proportional to resistance.
V = IR
where, I ---> current passing through resistor
R----> resistance
V ----> Voltage
or I = V/R ---(1)
Now, it is given that when resistor is replaced by other one and resistance become 3r. From (1) we see as resistance increases the current passing through resistor decreses.
So, as resistance increase by 3r then current passing through resistance decreses by 1/3r.
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Science
Eighth grade D.1 Calculate density, mass, and volume 9BL
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Olive oil in a bottle has a mass of 690 grams and a volume of 750 cubic centimeters.
Calculate its density.
Write your answer to the hundredths place.
grams per cubic centimeter
The density of the of the olive oil, given that it has a mass of 690 grams and a volume of 750 cm³ is 0.92 g/cm³
How do I determine density of the olive oil?We know that density is defined as mass per unit volume. It is expressed as:
Density = mass / volume
Thus, with the above formula, we can determine the density of the oliver oil as illustrated below:
Mass of olive oil = 690 gVolume of olive oil = 750 cm³ Density of olive oil = ?Density = mass / volume
Density of olive oil = 690 / 750
Density of olive oil = 0.92 g/cm³
Therefore, we can conclude that the density of the olive oil is 0.92 g/cm³
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If you know the acceleration and time, how can you calculate the average velocity?.
The average velocity in terms of acceleration and time is 1/2at².
Average velocity:
Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.
Assume the acceleration a is uniform then:
v(t) = u + at
u = initial velocity
By average velocity v we mean average over time than strictly speaking:
v = 1/t [tex]\int\limits^t_0 {v(t)} \, dt[/tex]
= 1/t [tex]\int\limits^t_0 {(u + at)} \, dt[/tex]
= 1/t ( ut + 1/2 at²)
v = u + 1/2at²
If u =0, then we have
v = 1/2 at²
Therefore the average velocity is 1/2at².
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a certain volume of gas was confined in a rigid container. if the pressure of the gas sample in the container was doubled, what happened to the temperature?
The pressure of the gas in the rigid container is doubled, then the temperature will also increase by two times.
According to ideal gas equation,
PV = nRT
Where, P is pressure, V is volume, n is the moles, T is temperature of the gas and R is the gas constant.
A certain volume of gas is put in the container means that the volume and the mole of the gas are constant so, we can write,
PV = Constant,
P₁/T₁ = P₂/T₂
Let us say that P₁ and V₁ are initial parameters, If the volume of the container is doubled, then, P₂ = 2P₁,
So,
P₁/T₁ = 2P₂/T₂
T₂ = 2T₁.
So, the temperature of the gas will be increase by two times,
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a 9 kg hanging mass is connected by a massless cord over a frictionless pulley to a 5 kg block that is sliding on a flat table. if the coefficient of kinetic friction between the block and the table is 0.2, find the tension in the string.
A 9 kg hanging mass is connected by a massless cord over a frictionless pulley to a 5 kg block that is sliding on a flat table. if the coefficient of kinetic friction between the block and the table is 0.2, the tension in the string will be 37.8N
from Newton’s second law we get :
Tension force – f k = mass * acceleration equation 1
Tension force –f k = 5.00 * a
Similarly, for the 9.00−kg mass,
mg - Tension force = mass * acceleration
9.00 * g–Tension force = 9.00 * a
Adding these two equations gives:
9.00 *9.80 − 0.2 * 5 * 9.8 = 14 a
a=5.6 [tex]m/s^{2}[/tex]
substituting this into equation 1
Tension = 5.00* 5.60 + 0.200 * 5.00 * 9.8 = 37.8N
The tension in the string will be 37.8N
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an airplane weighing 5500 lb is flying straight and level at msl with a velocity of 220 mi/h. at this velocity the l/d ratio is a maximum. the wing area and aspect ratio are 200 ft2 and 8.5, respectively. the oswald efficiency factor is 0.93. calculate the total drag on the airplane.
The total drag on the airplane is 97.28
define velocity?
Velocity is the rate of change in position of an object in motion as measured by a certain time standard (e.g., 60 km/h northbound). Velocity is a key notion in kinematics, the branch of classical mechanics that studies body motion.
weight of plane=5500lb
velocity=220m/h
=200x88/60
=292
wing area= 200 ft^2
aspect ratio=8.5
oswald efficiency (E)=0.93
density of air = 1.225Kg/m^3
=0.002377
Drag= 0.5xpxvxAxcd
lift coefficient=0.245
drag coefficient= 0.0024
cd=0.0024+0.0024=0.0048
drag= 0.5x0.002377x(292x292)x200x0.0048
=0.0011885x(85264)x200x0.0048
=97.28 lb
therefore the total drag on the airplane was 97.28 lb
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A 10,764.0 kg and a 12,008.0 kg object has a force of attraction of 0.0000630000 N. How far away are they from each other?
The distance between the two masses of 10764 kg and 12008 kg, with a force of attraction of 0.00006 N cating on them is 36.99 m.
What is distance?Distance can be defined as the length between two points.
To calculate the distance between the masses, we use the formula below.
Formula:
r = √(GMm/F)............ Equation 1Where:
r = Distance between the massesM = First massm = Second massG = Universal constantF = Force of attraction.From the question,
Given:
M = 10764 kgm = 120080 kgF = 0.000063 NG = 6.67×10⁻¹¹ Nm²/kg²Substitute these values intoe quation 1
r = √[(10764×120080×6.67×10⁻¹¹)/0.000063]r = 36.99 mHence, the distance between the masses is 36.99 m.
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How does the
gravitational attraction
between people
compare to the gravitational
attraction between the
people and Earth?
Attraction between people is Gravitation while people and earth is Gravity.
Every body in the universe attracts every other body with a force called force of gravitation. The attraction between sun and earth , attraction between table and chair lying in a room ..etc. are examples of gravitation. Gravitation is the weakest of four basic forces in nature. However , its most important force as it has its contribution in initiating the birth of stars and controlling the structure and evolution of entire universe.
Gravity is the special case of gravitation. If one of the attraction body is earth then gravitation is gravity.
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a 20.0 kgkg wood ball hangs from a 1.30 mm -long wire. the maximum tension the wire can withstand without breaking is 400 nn . a 0.900 kgkg projectile traveling horizontally hits and embeds itself in the wood ball. part a what is the largest speed this projectile can have without causing the cable to break? express your answer with the appropriate units.
The answer is 99.5m/s
When the bullet strikes the wood it starts moving and due to cable its starts moving in circular motion so a centripetal force is generated towards the center so we can write
T - mg = mv²/r
Given:
m = (20 + 0.9)kg
maximum T = 500N
r = 1.3m
so,
500 - (20.9)(9.8) = (20.9) v²/ 1.3
v² = 4.285m/s
so the speed of wooden ball and projectile is 4.285m/s
Now by conservation of momentum
m₁v₁ = m₂v₂
(0.9)v = (20.9)(4.255)
v = 99.5m/s
So the safest speed of projectile is 99.5m/s
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a 10 kg ball is tied to a 7 meter long string. the ball is spun in a circle with a constant speed. the maximum tension allowed in the string before it breaks is 100 n. (a)if spun in a horizontal circle, what is the maximum speed the mass can attain?
The highest rate of speed a person can reach is called maximum speed.When athletes alter the magnitude or direction of their motion, or both.
What is the maximum speed the mass can attain?The maximum speed the stone can attain is 8.366 m/s
Data;
Mass = 10kg
radius of tangential path = 7m
Tension = 100N
Centripetal Force
The centripetal force of the stone can be calculated as
Fe =mv/r
v² = Tr/m
v=√Tr/m
v=√100*7/10
v=8.366 m/s
The tension acting on the string is given as
The maximum speed the stone can attain is 8.366m/s
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naoki's bicycle has a mass of 10 kg. if naoki sits on her bicycle and starts pedaling with a force of 138 n, causing an acceleration of 2 m/s2, what is naoki's mass? a. 71 kg b. 20 kg c. 59 kg d. 69 kg
The correct answer is 59 kg
Given-
Mass of bicycle = 10 kg
F = 138 N
a = 2 m/s²
The mass of any body can be calculated by the force and acceleration of that body. We can use the formula as-
Calculation:
F = ma
m = F/a
= 138/2
= 69 kg
m = mass of bicycle + Naoki's mass. Then
69 = 10 + Naoki's mass
Naoki's mass = 69 - 10 = 59
Naoki's mass = 59 kg
Therefore, the mass of Naoki that sits on the bicycle and is pedalling is 59 kg.
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How long does it take an automobile traveling 62.5 km/h to become even with a car that is traveling in another lane at 41.0 km/h if the cars' front bumpers are initially 114 m apart?
The time it will take an automobile traveling at 62.5 km/h to become even with a car that is traveling in another lane at 41.0 km/h if the cars' front bumpers are initially a distance of 114 m apart is 19.1 seconds.
What time will it take for two cars traveling at different speeds to be at the same distance?The time that it will take for the two cars traveling to at the same distance can be calculated below as follows:
Let the time it will take the second automobile be T.
the distance traveled by first car = d
distance traveled by second car = d + 114 m
Time = distance / speedTime taken by first car = d / 41.0
Time taken by second car = d + 114 / 62.5
The two times are equal, hence;
d / 41.0 = d + 114 / 62.5
41d + 4674 = 62.5d
21.5d = 4674
d = 217.4 m or 0.2174 km
distance traveled by second car = 0.2174 + 0.114
distance traveled by second car = 0.3314
Time taken by second car = 0.3314 / 62.5
time taken by second car = 0.0053 hours or 19.1 seconds
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a 14,000-kg boxcar is coasting at 1.50 m/s along a horizontal track when it hits and couples with a stationary 10,000-kg boxcar. what is the speed of the cars after the collision?
The speed of the cars just after the collision is 0.875 m/s.the formula to be used m1u1 + m2u2 = m1v1 + m2v2.V=14000*1.5÷14000+1000=0.875m/s
How is speed used? What is speed?Teenagers, young adults, and the others take the stimulant drug "speed" to feel more focused and alert, as well as, in some circumstances, to get high. Several types of speed are also used by some people to suppress their appetite.
Why do people drive fast?Simply because they are not paying attention on their driving pace, drivers frequently go above the speed limit. Traffic flow, operating a powerful car, and listening to music were all mentioned as contributing factors. Some drivers claimed that passengers' distraction caused them to accelerate.
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The car travels 28m in 7s. What is the speed of the car?
The Speed of the car is 4m/s.
What is the speed?
The speed of an object can be defined as the total distance traveled by it in a particular interval of time. This can be determined by dividing the total distance moved by the object by the time taken to move.
It is the ratio of distance in m and time taken by the object to travel in seconds.
Hence: Distance D=28m
Time T=7s
Speed S=D/T
S=28m/7S
S=4m/S
Therefore car's speed is 4m/S
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The speed of the car is 4m/s
What is speed?Speed is the rate of change of distance with time.
It is a scalar quantity and it's S.I unit is given as m/s. Distance is the space or gap between two point. Speed can generally be defined as the distance travelled per a given time
From the definition, speed = distance/time
distance is 28m and time is 4s, therefore
Speed = 28/4= 7m/s.
Therefore the speed of the car is 7m/s
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A student wants to collect data during an experiment about the transfer of kinetic energy in a sample of water and ice. Which tool will help her collect the necessary data?(1 point)
Responses
meter stick
balance
thermometer
graduated cylinder
If a student wants to collect data during an experiment about the transfer of kinetic energy in a sample of water and ice, then the tool that will help her collect the necessary data is a thermometer.
What is a thermometer?A thermometer is a device used in different applications in order to measure the temperature in the surrounding environment and or open systems such as organisms (including humans).
Therefore, with this data, we can see that a thermometer can be used to determine the temperature of an organism and also of the surrounding media.
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Answer:
your answer will be thermometer
Explanation:
if you go to connexus and are doing the science
Thermal Energy Unit Test 10 qestions 8th grd unit 5 test lesson 12 here are the correct answers
1. A. metal is heated from room temperature to 200'C.
2. B. The particles will have more space between them as steam, but they will be moving at the same speed in both states.
3. C. The potential energy decreases due to the tighter arrangement of the particles.
4. B. an increase in heat and an increase in kinetic energy until a phase change occurs.
5. C. thermometer
6. B. 4.
7. D. convection
8. C. Air moves from the areas of higher temperature to areas of lower temperature.
9. C. The temperature of the ice increases, while the temperature of the water decreases
10. A. heat transfer by radiation.
i hope this helps and please let me know if it does! = ) <3
what initial speed should a particle be given if it is to have a final speed when it is very far from the earth that it is equal to one half of esdcape verlodctyu
The initial speed of the particle is 15.83 km/s.
Consider a system having initial potential energy. With time as the system proceed, the potential energy gets converted to kinetic energy. The kinetic and potential energy changes individually, but the total energy is constant at every instant. This is known as the conservation of energy.
Escape velocity , v = 11.200 km/s
The radius of the earth, R = 6400 km
Let the mass of the particle be m.
Let the mass of Earth be by M.
Let the velocity of the particle be v.
By conservation of energy we have,
(1 ÷ 2)mv² - ((GMm) ÷ R) = (1 ÷ 2)m[tex]v_{e}^{2}[/tex]
where G is the gravitational constant.
The gravitational constant and the acceleration due to gravity is related:
g = GM ÷ R²
Thus equation (1 ÷ 2)mv² - ((GMm) ÷ R) = (1 ÷ 2)m[tex]v_{e}^{2}[/tex] becomes,
(1 ÷ 2)v² - gR = (1 ÷ 2)[tex]v_{e}^{2}[/tex]
v² - 2gR = [tex]v_{e}^{2}[/tex]
v² − 2 × 9.8 × [tex]10^{-3}[/tex] km/s² × 6400 km = (11.200km/s)²
v = 15.83km/s
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The question is -
What initial speed would a particle need to be given at the surface of Earth if it is to have a final speed that is equal to its escape speed when it is very far from Earth? Neglect any effects due to air resistance?
suppose your car's speedometer is geared to accurately give your speed using a certain tire size: 14.5-inch diameter wheels (the metal part) and 4.75-inch tires (the rubber part). if your car's instruments are properly calibrated, how many times should your tire rotate per second if you are travelling at 50 mph?
If the car's speed is 50 mph the tires will rotate 11.68 times per second.
To calculate the rotation of the tire if
Diameter wheels (the metal part) = d₁ = 14.5 inchesDiameter wheels (the rubber part) = d₂ = 4.75inchesSpeed = v = 50 mphFirst, we have to calculate the radius of the wheel.
[tex]R =\frac{d_2 + d_1 + d_2}{2}[/tex]
[tex]R = \frac{4.75 + 14.5 + 4.75}{2}[/tex]
[tex]R = \frac{24}{2}[/tex]
R = 12 inches
Convert the linear velocity.
v = 50 mph
[tex]v = 50 \times \frac{1 \: miles}{1 \: hour}[/tex]
[tex]v = 50 \times \frac{63,360 \: inches}{3,600 \: s}[/tex]
v = 880 inches/s
Formula between angular velocity and linear velocity v = ω R
v = linear velocity = 50 mphR = radius ω = angular velocityCalculate the angular velocity.
[tex]\omega = \frac{v}{R}[/tex]
[tex]\omega = \frac{880}{12}[/tex]
ω = 73.33 radians/s
Angular velocity has a conection with the frequency (how many rotations in second)
ω = 2πf
[tex]f = \frac{\omega}{2 \pi}[/tex]
[tex]f = \frac{73.33}{2 \times 3.14}[/tex]
[tex]f = \frac{73.33}{6.28}[/tex]
f = 11.68 rotations/second
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A 1.5 kg ball is kicked with an initial velocity of 26 m/s at an angle of 30 degrees above the horizontal. How far did the ball go before returning to the ground? Answer in meters.
ANSWER ASAP!!! I AM GIVING EXTRA POINTS!!!! PLEASSEEE HELP!!!
The maximum height travelled by the ball before returning to the ground is 8.62 m.
What is the maximum height travelled by the ball?The maximum height travelled by the ball before returning to the ground is calculated by applying the following kinematic equation as shown below.
H = (u²sin²θ) / 2g
where;
u is the initial velocity of the ballθ is the angle of projection of the ballg is acceleration due to gravityH = (26² (sin 30)²) / (2 x 9.8)
H = 8.62 m
Thus, the maximum height travelled by a projectile depends on the initial velocity and angle of projection.
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When energy in a system is transformed, what happens to the total amount of energy in the system?
When the energy in a system is transformed, the total amount of energy in the system is always conserved.
What does it mean when energy is transformed?The changing of one form of energy into another, or the movement of energy from one place to another. An energy transformation is a change of power from one form to another. Fire (Chemical energy Heat and Light) Electric lamp (Electrical energy Heat and Light), Microphone (Sound Electrical energy), Wave power (Mechanical energy Electrical energy). Energy transformation is also known as energy regeneration which is a process of changing energy from one form to another. Energy transformations are procedures that convert energy from one type, for example, kinetic, gravitational potential, and chemical energy.
So we can conclude that an energy transformation is the change of energy from one form to another.
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A person can jump a horizontal distance of 3.43 m on the earth. the acceleration of gravity is 8.92 m/s how far could he jump on the moon, where the free-fall acceleration is 0.208g? answer in units of m.
A person who jumps a horizontal distance of 3.43 m on the earth will be able to jump a horizontal distance of 16.5 m on the moon.
Using the equation of projectile motion, the maximum distance formula is:
R = u² . sin(2α) / g
Where:
u = initial velocity
g = acceleration due to gravity
α = elevation angle
Assuming that the initial velocities, both on the moon and on the earth are the same both in magnitude and direction, hence the maximum distance is inversely proportional to the acceleration due to gravity.
Therefore,
Rm : Re = ge : gm (m and e refers to moon and earth)
Rm : 3.43 = g : 0.208g
Rm = 3.43 / 0.208 = 16.5 meters
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A resistor, an inductor, and a capacitor are connected in series to an ac source. What is the phase angle between the voltages of the inductor and capacitor in this rlc circuit?.
If a resistor, an inductor and a capacitor are connected in series, the phase angle between the voltages of the inductor and capacitor in a RLC series circuit is 180 degrees.
A resistor , capacitor and inductor are key components of a RLC circuit. Resistor doesn't store energy but capacitor and inductor stores energy and that is the reason resistor is called a passive element and inductor and capacitors are called active element.
Inductor leads the current by a phase angle of 90 degrees and the voltage across the capacitor lags the current by 90 degrees, so the phase difference between the voltages of the inductor and the capacitor is 180 degrees in an RLC circuit.
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a cylindrical space colony 13 km in diameter and 30 km long has been proposed as living quarters for future space explorers. such a habitat would have cities, land, and lakes on the inside surface and air and clouds in the center. all this would be held in place by the rotation of the cylinder about the long axis. how fast would such a cylinder have to rotate at its perimeter to produce a 1-g gravitational field at the walls of the cylinder?
0.00048 rad/s should be the angular velocity of the cylinder to produce a 1-g gravitational field at the walls of the cylinder.
The following problem requires understanding angular velocity and centripetal acceleration to obtain the result. The angular velocity of a body is defined by its virtue of velocity at a particular angle on an axis.
Centripetal acceleration is acceleration when the body is rotating and that acts towards the midpoint of the circular movement.
centripetal acceleration = rω² (derived from v²/r)
here
ω = angular velocity of the cylinder
r = radius of the space colony = 13km / 2 ⇒ 6.5km or 6500m
Substituting the values,
a = g ⇒ 9.8m/s²
ω = √9.8 / 6500 = 0.00048 rad/s
∴The cylinder should rotate at 0.00048 rad/s for producing a 1-g gravitational field.
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why must the displacement vector of the lighter ball be scaled by the ratio of masses of the two balls?
If no external force on the Centre of mass remains stationary. In order to do that displacement in lighter body must be more than that of heavier ball.
The sum of the starting momentums of the two bodies when they collide is equal to the sum of their final momentums, according to the law of conservation of momentum.
The experimental system supports the law of conservation of linear momentum when a collision occurs between a heavier ball and a lighter ball in the absence of any other external forces.
The centre of mass does not move due to any external forces. A lighter body must have a greater displacement than a heavier ball in order for that to happen. Changes in an object's position are referred to as displacement. A vector quantity, it has both a direction and a magnitude. An arrow that directs viewers from the starting location to the ending position is used to symbolize it. As an illustration, the position of an object changes if it moves from position A to position B. Displacement is the name for this shift in an object's position.
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a long solenoid has a length of 0.71 m and contains 1255 turns of wire. there is a current of 4.2 a in the wire. what is the magnitude of the magnetic field within the solenoid?
Answer:
The answer is 9.32x10^(-6) T.
Explanation:
The formula of finding magnetic field in a long solenoid is (B)= (MU)X N X I/L.
MU=4*(PI)*10^-7 h/m
n=1255
i=4.2 A
l=0.71 m
b= 9.32*10^(-6) T.
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if an input force of 220 n is applied to the handles of the wheelbarrow in the sample problem, how large is the output force that just lifts the load
The output force that only lifts the load is 484 N
What is force?In mechanics, force is defined as any action that tends to maintain or alter the motion of a body or to distort it. The concept of force is commonly explained in terms of Isaac Newton's three laws of motion, which are laid out in his Principia Mathematica (1687). Newton's first principle states that a body at rest or moving uniformly in a straight line will remain in that state until some force is applied to it.The second law states that when an external force acts on a body, it causes the body to accelerate (change in velocity) in the direction of the force. The acceleration is proportional to the magnitude of the external force and inversely proportional to the amount of matter in the body. According to Newton's third law, when one body exerts a force on another, the second body exerts an equal force on the first. This action-reaction principle explains why a force tends to deform (i.e., change the shape of) a body whether it causes the body to move. When studying the motion of a body, it is common to overlook.
Calculation
For this case, the relationship between the two forces is given by
[tex]F_{1} =nF_{2}[/tex]
Where,
F1: output strength
F2: input force
n: mechanical advantage
Then, replacing the values we have:
[tex]F_{1} = 2.2*220[/tex] = 484 N
Hence, the output force that only lifts the load is 484 N
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AP physics 1: Extra points!!
1. There are three forces.
2. Yes, the forces on the beam are balanced.
3. The magnitude of the net force on them is zero.
4. The tension in Cable 1 is 8,596.49 N
5. The tension in Cable 2 is 8,596.49 N
The forces acting on the beam are two tension forces due to the cable and one gravitational pull due to its weight. Thus, there are three forces acting on the beam.
The force on the beam is perfectly balanced as the cable is uniformly attached to it. The beam is moving with constant velocity, thus the acceleration is zero, and hence, the net force acting on it is also zero.
The tension, T, in both cables is equal as they are inclined at the same angle.
Now, we resolve them into rectangular components and write
Tsin35 +Tsin35 = mg = 1000*9.8 = 9800
2Tsin35 = 9800
Tsin35 = 4900
T*0.57 = 4900
T = 8,596.49 N
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