a cannonball explodes into several fragments in mid-air. the total momentum of the fragments after this explosion: group of answer choices is the same as the momentum of the cannonball immediately before the explosion is more than the momentum of the cannonball immediately before the explosion is less than the momentum of the cannonball immediately before the explosion has been changed into the kinetic energy of the fragments has been changed into radiant energy

Answers

Answer 1

If a cannonball explodes into several fragments in mid-air the total momentum of fragments after this explosion will be the same as the momentum of the cannonball before the explosion.

According to the Law of Conservation of Momentum, the momentum of two or more bodies remains conserved unless an external force acts upon them.

In the given case, the force acting on the cannonball is the gravitational force which is the same as the force acting on the fragments of the cannonball after the explosion.

As the forces are the same in both cases, the momentum before and after collision remains the same.

Thus, If a cannonball explodes into several fragments in mid-air the total momentum of fragments after this explosion will be the same as the momentum of the cannonball before the explosion.

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Related Questions

The gravitational acceleration is 9.81 m/s2 here on earth at sea level. what is the gravitational acceleration on the top of mount everest?

Answers

The gravitational acceleration on the top of Mount Everest is 9.773 m/s^2.

What is gravitational acceleration?

Gravitational acceleration (symbolized g) is an expression used in physics to indicate the intensity of a gravitational field. It is expressed in meters per second squared. At the surface of the earth, 1 g is about 9.8 meter per squared second.

So, as mentioned in question g at surface of the earth is 9.81.

and the height of the Mount Everest is 8848 m.

Let, g' be the acceleration due to gravity on the top of Mount Everest.

By the equation,

[tex]g' = g(1-\frac{2h}{h})[/tex]

[tex]g' = 9.8(1-\frac{17696}{6500000})[/tex]

[tex]g' = 9.8(1-0.00276)[/tex]

[tex]g' = 9.8(0.99724)[/tex]

[tex]g' = 9.773[/tex]

Therefore, the gravitational acceleration at the top of the Mount Everest is [tex]9.773 \frac{m}{s^2}[/tex] (9.773 meter per squared second).

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a projectile is launched from level ground with an initial speed v0 at an angle θ with the horizontal. if air resistance is negligible, how long will the projectile remain in the air?

Answers

The time of flight of the launched particle will be 2v₀ sinθ / g.

What is kinematics?

The study of motion without considering the mass and the cause of the motion.

A projectile is launched from level ground with an initial speed v₀ at an angle θ with the horizontal. If air resistance is negligible.

Then the time of flight of the launched particle will be given as,

Determine how long it requires the projectile to reach its highest point in order to calculate the flight duration. Just twice as long as the maximum altitude is the travel time.

[tex]\rm v_y = v_{o_y} + a_y t[/tex]

At maximum height, [tex]\rm v_y = 0[/tex].

The time to reach maximum height is given as

[tex]\rm t_{1/2} = - \dfrac{v_{o_y} }{ a_y}[/tex]

The time of flight is given as,

[tex]\rm t = 2 \times t_{1/2} = - \dfrac{2v_{o_y}}{ a_y}[/tex]

Substituting in [tex]\rm v_{o_y} = v_o \ \sin(\theta ) \ and \ a_y = -g[/tex], then we have

The time of flight of the launched particle will be 2v₀ sinθ / g.

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Tron accelerates vertically upward, traveling 4.50 m in the first 3.00 ms after it is released. (a) what are the magnitude and direction of the electric field?

Answers

When Tron accelerates vertically upward, traveling 4.50 m in the first 3.00 ms after it is released. Then magnitude of the electric field is E= 3.4893 N/C.

What is electric field?

The electric force per unit charge is referred to as the "electric field." It is thought that the field's direction corresponds to the force it would apply to a positive test charge.

The SI unit for the electrical field is volts per meter (V/m). This unit is equivalent to the Newtons per coulomb. Both Newton, which represents for force, and Coulomb, which stands for charge, are the ancestors of these units.

Around a charged object, an electric field is produced that affects the surrounding environment.

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How strong is the electric field between two parallel plates 4.4 mm apart if the potential difference between them is 220 v?

Answers

The electric field between the plates is 50,000 N/C.

Calculation

It is provided that the separation d between the plates is 4.4 mm and the potential difference V between the plates is 220 V.

The electric field E between the plates can be formulated as follows.

E=[tex]\frac{V}{d}[/tex]

substituting the values in the equation,

E= [tex]\frac{220}{0.0044}[/tex]

E= 50,000 N/C

Hence, we can say that the electric field between the plates is 45833.33 N/C.

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The position of a particle undergoing simple harmonic motion is given by: x = 2 cos (50t). what is its maximum velocity?

Answers

The position of a particle undergoing simple harmonic motion is given by:

x = 2 cos (50t).

The maximum velocity is 100 m/s.

What is meant by Simple Harmonic Motion, refer to:

Simple harmonic motion is described as an oscillatory motion in which the acceleration of the particle is directly proportional to the displacement from the mean position. It is a special case of oscillatory motion.All the Simple Harmonic Motions are oscillatory and also periodic, but not all oscillatory motions are SHM.

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9. The first system of measurement that was based on units of ten was the ____ system

Answers

Answer:

metric

Explanation:

At+what+speed,+as+a+fraction+of+ccc,+will+a+moving+rod+have+a+length+55+%%+that+of+an+identical+rod+at+rest?

Answers

The speed of a moving rod that has a length 55 % that of an identical rod in terms of c will be v/c= 0.824

or v = 0.824c.

The formula for length contraction rod is,

L = L1{√(1-v^2/c^2)}

Here L is the length of the moving rod

L1 is the length of the stationary rod

v is the velocity with which the rod is moving

c is the speed of light

We are given that

L = 55% of L1 = 0.55L1

Putting the values in the above equation,

0.55L1 = L1{√(1-v^2/c^2)}

0.55 = {√(1-v^2/c^2)}

Squaring both sides

(0.55)^2 = 1- v^2/c^2

V^2/c^2 = 1 - 0.3025

V^2/c^2 = 0.6975

v/c = 0.824

Thus, the speed of  a moving rod that has  a length 55 % that of an identical rod in terms of c will be v/c= 0.824 or v = 0.824c.

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a rock is thrown vertically upward at an initial velocity of 70 m/s. what is the approximate acceleration of the rock when it reaches its maximum height?

Answers

A rock is thrown vertically upward at an initial velocity of 70 m/s.

The approximate acceleration of the rock when it reaches its maximum heigh is- zero

0 is the approximate acceleration of the rock whilst it reaches its most peak.given that rock is hurled vertically up into the air at a speed of 70 meters according to second. what's the rock's angular acceleration when it reaches its maximum point?(count on that the positive y direction is upward)?given that has reached its maximum factor, very last velocity V will identical 0.calculating the time the usage of the first regulation of movement.additionally, because the orientation is vertical instead of horizontal, the acceleration can be identical to zero.

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the greatest magnification on the compound light microscope can be achieved by using the high power objective lens.

Answers

The statement is false, that the greatest magnification on the compound light microscope can be achieved by the use of the high-power objective lens.

What is a Compound Light microscope?

A microscope with numerous lenses and its own light source is referred to as a compound light microscope. In this type of microscope, the rotating nosepiece is positioned closer to the specimen and contains the objective lenses, while the binocular eyepieces house the ocular lenses.

The compound binocular microscope is now more often utilized, even though it can occasionally be found as monocular with only one ocular lens.

Zacharias Jansen's 1595 invention of the compound microscope with collapsible tubes and a 9X magnification produced the first light microscope.

Since then, microscopes have advanced significantly; the strongest compound microscopes available today have magnifications of 1,000 to 2,000X.

Hence, the statement is false that it can be achieved by using the high power objective lens.

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a runner starts from rest and attains a speed of 8.00 ft/s after 2.00 s. what is the runner’s acceleration?

Answers

The runner who starts from rest and attains a speed of 8.00 ft/s, after 2.00 s his acceleration would be 4ft/s^2.

Concept of acceleration.

An object’s velocity can change depending on whether that object moves faster or slower or in a different direction.

A few instances of acceleration include an apple falling to the ground, the moon orbiting the earth, and a car coming to a stop at a stop sign.

Who first proposed the idea of acceleration?

Sir Isaac Newton (1642–1727) defined acceleration in his second law of motion as the relationship between the force acting on an object and its mass: a = f/m.

The meter per second per second square (m/s2) is the unit of acceleration. The newton is the force that causes an acceleration of one newton per kilograms of mass when it acts on that mass.

u=0 (initial speed)

v= 8 ft/sec (speed of the runner)

t = 2s

According to equation of motion,

a = (v-u)/ t = 8/2

a= 4ft/s^2

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When deciding on your evidence for argumentation writing, make sure each piece passes the following criteria:
Purpose, accuracy, and authority
Currency, relevance, and audience
O Tone, accuracy, and relevance
O Authority, writing mode, and currency

Answers

Purpose, accuracy, and authority.

The first paragraph of your essay should outline your topic provide the background information you need to understand your claim, outline the evidence you present, and state your thesis. dissertation statement. This is part of the first paragraph. The five parts include a strong introductory paragraph with a clear thesis, three main paragraphs supported by detailed evidence, and a compelling conclusion.

Students should also use transition words and phrases to help readers explain their points of view. Developed by philosopher Stephen E. Toulmin, his Toulmin Method is a style of reasoning in which he decomposes claims into six components Claim Inference Warrant Limitation Refutation and Support. In Toulmin's method, each argument begins with three basic parts assertion justification and justification. These are the thesis statement the target audience needs, and support.

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an uncharged capacitor is connected to the terminals of a 4.0 v battery, and 12 μc flows to the positive plate. the 4.0 v battery is then disconnected and replaced with a 8.0 v battery, with the positive and negative terminals connected in the same manner as before.

Answers

The additional charge that flows to the positive plate from the 8 Volts battery is  12 x 10⁻³ Coulomb's.

We have an uncharged capacitor which is charged in two different ways using battery of two different voltages. Firstly, it is connected to the terminals of a 4.0 V battery, and 12 μc of charge flows to the positive plate. Then, the 4.0 V battery is disconnected and replaced with a 8.0 V battery

We have to determine the Additional charge that flows to the Positive plate from this 8 V battery.

What is Capacitance ?

Capacitance is the ability of an object to collect and store energy in the form of an electrical charge. Mathematically -

C = Q/V

According to the question, we have -

Electric potential of battery 1 = V[1] = 4 V

Charge flow from battery 1 to the positive plate = Q[1] = 12 x 10⁻³ C

Electric potential of battery 2 = V[2] = 8 V

Now, using the following relation, we will find Q[2] {Charge flow from battery 2 to the positive plate} →

V[1] / V[2] = Q[1] / Q[2]

Substituting the values -

Q[2] = (12 x 10⁻³ x 8)/4 = 24 x 10⁻³ C

Additional Charge that flowed to the positive plate →

Q[2] - Q[1] = 12 x 10⁻³ Coulomb's

Hence, the additional charge that flows to the positive plate is  [tex]12\times 10^{-3}[/tex] Coulomb's.

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[ The question given is incomplete, the complete question is -

"An uncharged capacitor is connected to the terminals of a 4.0 v battery,  and 12 μc flows to the positive plate. the 4.0 v battery is then disconnected and replaced with a 8.0 v battery, with the positive and negative terminals connected in the same manner as before. How much additional charge flows to the positive plate" ]

A parallel plate capacitor has a plate area of 0.565 m2 and a plate separation of 1.85 mm . what is its capacitance?

Answers

1.72*10^-9

On an empty capacitor, there is no dielectric so E= 8.85E-12

C=EA/(d)

c is capacitance, A is area , d is distance between the parallel plate and E is dielectric constant.

C=(8.85E-12 c2/Nm2)(0.535m2)/ (2.75*10^-3m)

C= 1.72*10^-9

Capacitance is the ability of a dielectric to hold or store an electric charge.Dielectric constant is a  factor that indicates the ability of an insulator to concentrate electric flux, also known as relative permittivityDielectric strength is the ability of a dielectric to withstand a potential difference without internal arcingDielectric absorption is the nability of a campacitor to discharge completely to zero. This is sometimes called battery action or capacitor memory.

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An electron moves in an electric field. Does it move toward regions of higher potential or lower potential? explain.

Answers

The electric fields is always directed from higher potential to the lower potential.

An electron moves in an electric field. Does it move toward regions of higher potential or lower potential?

The electric fields always aiming from the region of higher potential to the region of lower potential. So the force of electrostatic and the direction of the travel of electrons will be always from lower potential to the region of higher potential.

An electric field is defined as the physical field which covers the electrically charged particles and also they can apply force on all other charged particles.

So we can conclude that the electric fields is always directed from higher potential to the lower potential.

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student measured the flow time of 10 g of honey at different
temperatures and graphed the data.
What is the independent variable shown on this graph?
O
The independent variable is the amount of honey,
which is not shown on the graph.
O The flow time is the independent variable.
O The tomperature is the independent variable.

Answers

Answer:

what graph?

Explanation:

please give the proper information

The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues.

The test is used to measure a student's aerobic capacity as part of the FitnessGram assessment. Students run back and forth as many times as they can, each lap signaled by a beep sound. The test get progressively faster as it continues until the student reaches their max lap score.

The PACER Test score is combined in the FitnessGram software with scores for muscular strength, endurance, flexibility and body composition to determine whether a student is in the Healthy Fitness Zone™ or the Needs Improvement Zone™.

which low-energy state of condensed matter is characterized by structural rigidity and resistance to changes of shape or volume? gas

Answers

Low-energy state of condensed matter is characterized by structural rigidity and resistance to changes of shape or volume is solid.

What is solid?

When particles are arranged and packed closely -- compared to those in a gas or liquid -- and are relatively stable, they are considered to be in solid state. Solids tend to have a rigid shape, as the atoms or molecules of matter in the solid state are generally compressed and tightly connected through the chemical bonds. These bonds can produce an amorphous shape or regular lattice.

In electronics, the solid state refers to components and systems based entirely on semiconductor materials, such as silicon, germanium or gallium arsenide. Transistors and diodes -- the most common solid-state devices -- are often combined with resistors, capacitors and other components to create the integrated circuits (ICs). All the electronic systems incorporate ICs and, therefore, transistors.

The particles that make up solid have the lowest energy, and vibrate in place. This results in the characteristics of a solid, such as definite shape and volume. A solid is actually the frozen state of matter for substance. A substance does not have to freeze at cold temperature. For example, the faucet you have at your lab station in chemistry, and the faucets in your home are frozen the stainless steel; and so is your desk, pencils, pens, cell phones, and computers are all frozen. In fact anything solid is frozen.

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the planet earth orbits the sun within a period of one year. in this problem, you may assume the radius

Answers

The correct answer is 29883.3m/s

The pace at w.hich an object's position changes in relation to a frame of reference is known as its velocity, which is a time-dependent quantity. The speed and direction of an object's motion are its velocity. The rate at which an object's velocity changes in relation to time is defined as its acceleration.

The following kinematic equation can be used to connect velocity and acceleration:

v_1=v_0+at

Where v_1 denotes the ultimate velocity, v_0 denotes the starting velocity, a denotes the acceleration, and t is the passing of time.

Calculate the length of the Earth's orbit around the Sun to get started. For this issue, a circle rather than an ellipse can be used to represent the Earth's orbit.

Circumference = C=πD=2πR

=2π(1.5×10km)

=9.424π×10^8

Do a dimensional analysis to convert the speed of the Earth around the Sun from miles per hour to metres per second:

s_earth= 9.424π×10^8/1year × (1year×100m×1day×1hour×1min)/(1km×365days×24hours×3600seconds)

=29883.3m/s

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Data can be arranged in visual displays called blank to make identifying trends easier

Answers

Data can be displayed as graphs, which are graphic representations, to help identify trends more quickly.

A graph is a visual representation of the relationship between two variables, typically two variables that are measured along an axis that is perpendicular to the other two axes. A graph, in a nutshell, is a visual representation of data for easy comprehension. Graphs are commonly used to show scientific data so that readers may immediately see trends. Graphs are often used in the social sciences to visually convey important information. A network's connection between lines and points is represented mathematically by a graph. The points and arcs that connect them make form a graph.

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If a system has 71.0 j of heat added to it, and the system does 25.0 j of work on its surroundings, what is the change in the internal energy of the system, in j?

Answers

The change in the internal energy of the system is 96 j.

What is internal energy ?

The change in the internal energy of the system is given by

              Δ U = Q + W

Q = 71.0 j

W = 25.0j

Δ U = Q + W

Δ U = 71 +25

Δ U = 96 j

The system's kinetic energy and potential energy together make up the system's internal energy. When a reaction is conducted at a constant pressure, the internal energy change (U) of the reaction is equal to the heat acquired or lost (enthalpy change).

A thermodynamic system's internal energy is its total internal energy. It is the energy required to build or prepare the system in the internal state that it is in at the time.

In thermodynamics, internal energy is a quantity or state function that characterizes a substance's energy when capillary effects and other external fields, such as electric and magnetic forces, are absent.

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An analytical chemist is titrating of a solution of propylamine with a solution of . the of propylamine is . calculate the ph of the base solution after the chemist has added of the solution to it.

Answers

After the equivalence point, pH of the base solution is 1.52.

What is equivalence point?

The number of moles of base = 88.4 x 0.2700 = 23.868

The number of moles of acid = 0.4300 x 66.3 = 28.509

After the equivalence point,

Net moles of acid = 28.509 - 23.868

= 4.641mol

Total vol. of solution = 88.4 + 66.3 = 154.7mL

Conc. of Acid = moles/volume = 4.641/154.7 = 0.03M

pH = [tex]-log[H^{+} ][/tex] = -Log[0.03]

pH = 1.52

Hence, the pH of the base solution is 1.52.

The titration's equivalence point occurs when the amount of titrant applied is just sufficient to totally neutralize the analyte solution. In an acid-base titration, the solution only comprises salt and water at the equivalence point, where moles of base equal moles of acid.

The equivalency point for acid-base titrations is extremely simple to identify. To create a titration curve, different quantities of titrant are added, and then the pH of the solution is measured using a pH meter. Then, the curve's equivalence point can be determined.

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Consider the electronic transition from n = 7 to n = 4 in the hydrogen atom. is light absorbed or emitted? calculate the energy, the frequency and wavelength (nm) of the photon involved.

Answers

Light is emitted, energy is  9.16 × [tex]10^{-20}[/tex] J , frequency is 1.38 × [tex]10^{-14}[/tex] [tex]s^-[/tex]    

and wavelength is  2.17 × [tex]10^{-6}[/tex] m      

Explanation

n = 7 → n = 4

higher → lower

Light is emitted

[tex]\Delta[/tex]E = [tex]\frac{-13.6}{7^2} - (\frac{-13.6}{4^2})[/tex]

[tex]\Delta[/tex]E = 0.85 - 0.277

     = 0.572 eV

[tex]\Delta[/tex]E = 9.16 × [tex]10^{-20}[/tex] J              -> [energy calculated]

[tex]\Delta[/tex]E = hv           (h is Planck's constant and v is frequency)

v = [tex]\frac{\Delta E}{h}[/tex]  = [tex]\frac{9.16 * 10^{-20}}{6.626 * 10^{-39}}[/tex]

v = 1.38 × [tex]10^{-14}[/tex] [tex]s^-[/tex]                 ->[frequency calculated]

[tex]\Delta[/tex]E = [tex]\frac{hc}{\Lambda}[/tex]            (c is speed of light)

[tex]\Lambda[/tex] = [tex]\frac{hc}{\Delta E}[/tex]

[tex]\Lambda[/tex] = [tex]\frac{6.626 * 10^{-34} . 3*10^8 m/s}{9.16 *10^{-20 J} }[/tex]

[tex]\Lambda[/tex] = 2.17 × [tex]10^{-6}[/tex] m                    ->[wavelength calculated]

What is energy?

Energy, according to scientists, is the capacity for work. The ability to transform energy from one form to another and use it to perform tasks is what makes modern civilization possible. People utilize energy to travel by foot and bicycle, drive vehicles on land and in water, prepare meals on stoves, create ice in freezers, illuminate our homes and workplaces, create goods, and launch people into space.

Energy comes in a wide variety of forms, including:

HeatLightMotionElectricalChemicalGravitational

These energies can be divided into two categories for working energy:

Potential or stored energyKinetic or working energy

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In your own words, describe how matnothing


ter is identified.

Answers

anything that takes up space and can be weighed or anything that has volume and mass

a cylindrical resistor element on a circuit board dissipates 1.2 w of powera cylindrical resistor element on a circuit board dissipates 1.2 w of power

Answers

The amount of heat this resistor gives in 24 hours and heat fiux q is mathematically given as

Qd=4340.589 W/m^2

What is the amount of heat this resistor gives in 24 hours and heat fiux q?Generally, the equation for Qt is mathematically given as

Q_t amp;=Q*time

amp;=1.2 *J*(24*3600)

Q_damp=03680J

Q_damp;=103.680

[tex]A_s &=\frac{\pi}{4} d^2 \times 2+\pi d L \\\\A &=\frac{\pi}{4} \times 0.4^2 \times 2+\pi \times 0.4 \times 2[/tex]

A amp;=2.764601 cm^2

[tex]\\\q &=\frac{1.2 \times 104^{+}}{2.764601}=4340.589(\mathrm{~W} / \mathrm{m})[/tex]

qamp;=4340.589mm^2

In conclusion,

Qd=103.680Jq

Qd=4340.589 W/m^2

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If an object’s velocity is changing direction but not magnitude, what direction is the acceleration pointing?.

Answers

Answer:

a = (v2 - v1) / t

If the velocity is changing but not the magnitude of speed then

the change in velocity is directed perpendicular to the current velocity of the object

(An example is an object undergoing uniform circular motion where the speed of the object around the circle is constant but the change in velocity is always directed toward the center of rotation)

A pig on roller skates is moving with an initial velocity of -10 m/s and is accelerating at a rate of 2m/s/s, therefore the pig is __________during the next 2 seconds.

A. moving faster in the positive direction
B. moving slower in the positive direction
C. moving slower in the in the negative direction
D. moving faster in the negative direction

Answers

The pig is moving slower in the negative direction during the next 2 seconds.

What is acceleration?

The term acceleration refers to the change in the velocity of the object with time. Now we know that velocity is a vector quantity. This implies that we have to take the magnitude and the direction into focus when we are discussing about the velocity.

Similarly, the acceleration is a vector quantity and the magnitude and the direction must also be taken into account when dealing with the acceleration.

In this case, it is clear that a  pig on roller skates is moving with an initial velocity of -10 m/s and is accelerating at a rate of 2m/s/s.

Seeing that the velocity is negative, we can see that the pig roller coaster is moving the negative direction. Recall that the axes must be defined such that one is negative and one is positive.

Having said that, we can conclude that; the pig is moving slower in the negative direction during the next 2 seconds.

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university physics with modern physics and mastering physics access code (15th edition), by h. young and r. freedman.

Answers

University physics with modern physics and mastering physics access code (15th edition), by h. young and r. freedman.

Mark Hollabaugh, Normandale community university, EmeritusPhysics encompasses the massive and the small, the old and the modern day. From the atom to galaxies, from electric circuitry to aerodynamics, physics could be very loads part of the arena spherical us. You probable are taking this introductory course in calculus-based physics because of the fact it's far required for next guides that you plan to soak up education for a profession in era or engineering. Your professor wishes you to research physics and to revel in the experience. he or she might be very inquisitive about helping you look at this charming mission. that is a part of the purpose your professor chose this textbook on your path. that is also the purpose Drs. young and Freedman asked me to jot down this introductory segment. We want you to succeed! The cause of this section of university Physics is to give you some ideas with a purpose to assist your studying. particular pointers on the manner to use the textbook will comply with a short dialogue of modern day have a have a look at behavior and techniques.

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Uranus, one of the most distant planets in our solar system, is 2870 million kilometers from the sun. what is its distance from the sun in astronomical units?

Answers

The distance of Uranus from the Sun in astronomical units is 9.13 AU.

What is astronomical unit?

In our solar system, distances are really great. Therefore, astronomers frequently avoid using miles or kilometers when describing the distances to planets, asteroids, comets, or spacecraft. They substitute astronomical units, or AU, which represent the typical separation of the Earth from the sun. That translates to around 93 million miles, 150 million kilometers, or 8 light-minutes.

By above definition, we can say that

1 astronomical unit (AU) = 150 million kilometers (km)

In order to find the distance in astronomical units multiply the given distance expressed in kilometers of Uranus, which is 2870 million kilometers, by the unit ratio, 1 AU per 150 million kilometers, as shown on the expression:

[tex](2870 million Km)(\frac{1Au}{150millionKm})[/tex]

Therefore, the distance of Uranus from the Sun is 19.13 AU.

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How much energy is required to lift a 97 kg barbell 1.25 meters?

Answers

Answer:

1,188.25 J

Explanation:

PE= mgh

PE=(97)(9.8)(1.25)

PE= 1,188.25 J

A 1kg block sits 75m from the left. if the board is 4kg, where should the pivot point be placed to balance?

Answers

The pivot point should be placed 15m right from the 4kg board and 60m left from 1kg block to be balanced.

Explanation

Let d block be x and d board be y      

so, x + y = 75   ...1

This problem needs to add torques about the pivot point. In order to be balanced, the torque must be equal on each side of the pivot point.

T block =T board

Use the equation for torque in this equation.

(F block)(d block )=(F board )(d board )

The force of each object will be equal to the force of gravity.

(m block )g(d block )=(m board )g(d board )

Gravity is cancelled from each side of the equation. for simplicity.

(m block )(d block )=(m board )(d board )

⇒ 1 kg × x = 4kg × y

⇒ 1/4  = x/y    

⇒ x = 4y     ...2

Now applying eq 2 in eq 1 we get

⇒ 4y + y = 75

⇒ 5y = 75

⇒ y = 75/5

      = 15

Thus, the pivot point should be placed 15 m right from the 4kg board and 60 m left from 1kg block to be balanced.

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Where do you feel courage in your body and why? (with explanation) plsss answer it i need answer now plss

Answers

A hallmark of courage is being ready and willing to face challenging or uncomfortable circumstances. The word "bravery" is similar. It can also include doing so, even though confronting these situations fearlessly is generally thought of as showing courage.

In reality, courage is the capacity to move forward in the face of fear. The ability to behave bravely in the face of any anxiety or tension is what is meant by having courage. One of the finest ways to be courageous is to recognize your fears and then decide not to let them stop you. having the guts to handle risk in a responsible manner as opposed to acting cowardly or irrationally confident.

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