\[\begin{array} { | l | c | c | c | c | } \hline & \text { Mass } & \text { Radius } & \text { Orbital radius } & \text { Orbital period } \\ \hline \text { Moon A } & 4.0 \times 10 ^ { 20 } \mathrm {~kg} & \text { unknown } & 2.0 \times 10 ^ { 8 } \mathrm {~m} & 4.0 \times 10 ^ { 6 } \mathrm {~s} \\ \hline \text { Moon B } & 1.5 \times 10 ^ { 2 } 0 \mathrm {~kg} & 2.0 \times 10 ^ { 5 } \mathrm {~m} & 3.0 \times 10 ^ { 8 } \mathrm {~m} & \text { unknown } \\ \hline \end{array}\] Mithra is an unknown planet that has two moons,A and B,in circular orbits around it.The table summarizes the hypothetical data about these moons.What is the magnitude of the maximum gravitational force that Moon A exerts on Moon B? (G = 6.67 × 10-11 N ∙ m2/kg2)

A) 1.6 × 1013 N B) 4.4 × 1013 N C) 1.0 × 1014 N D) 2.0 × 1014 N E) 4.0 × 1014 N A) 1.6 × 1013 N B) 4.4 × 1013 N C) 1.0 × 1014 N D) 2.0 × 1014 N E) 4.0 × 1014 N

At a distance of 14,000 km from the center of Planet Z-99,the free-fall acceleration is 32 m/s2.What is the free-fall acceleration at a point 28,000 km from the center of this planet?

A) 8.0 m/s2 B) 16 m/s2 C) 128 m/s2 D) 4.0 m/s2 E) 2.0 m/s2 A) 8.0 m/s2 B) 16 m/s2 C) 128 m/s2 D) 4.0 m/s2 E) 2.0 m/s2

Exam 5: Circular Motion

A jet plane flying 600 m/s has an acceleration of 4.0 g when pulling out of a circular dive.What is the radius of curvature of the circular part of the path in which the plane is flying?

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Question 1

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As a 70-kg person stands at the seashore gazing at the tides (which are caused by the Moon),how large is the gravitational force exerted on that person by the Moon? The mass of the Moon is 7.35 × 10²² kg,the distance to the Moon is 3.82 × 10⁸ m,and G = 6.67 × 10^-11 N ∙ m²/kg².

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Question 2

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An object moves with a constant speed of 30 m/s on a circular track of radius 150 m.What is the acceleration of the object?

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The curved section of a horizontal highway is a circular unbanked arc of radius 740 m.If the coefficient of static friction between this roadway and typical tires is 0.40,what would be the maximum safe driving speed for this horizontal curved section of highway?

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Question 4

When a spacecraft is launched from the earth toward the sun,at what distance from center of the earth will the gravitational forces exerted on it by the sun and earth cancel? Earth's mass is 5.97 × 10²⁴ kg,the sun's mass is 1.99 × 10³⁰ kg,and the Earth-sun distance is 1.5 × 10¹¹ m.

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Question 5

An astronaut drops a marble on the surface of the airless Planet Z-49 and observes that it takes 1.02 s for the marble to fall 2.00 m starting from rest.She also knows that the radius of Z-49 is 3.39 × 10⁶ m.From this information,what will she determine for the mass of Z-49? (G = 6.67 × 10^-11 N ∙ m²/kg²)

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Question 6

By how many newtons does the weight of a 100-kg person decrease when he goes from sea level to mountain top at an altitude of 5000 m? The mean radius of the earth is 6.38 × 10⁶ m.

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Question 7

The mass of the Moon is 7.4 × 10²² kg,its radius is 1.74 × 10³ km,and it has no atmosphere.What is the free-fall acceleration at the surface of the Moon? (G = 6.67 × 10^-11 N ∙ m²/kg²)

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Question 8

It takes the planet Jupiter 12 years to orbit the sun once in a nearly circular orbit.Assuming that Jupiter's orbit is truly circular,what is the distance from Jupiter to the sun,given that the distance from the earth to the sun is 1.5 × 10¹¹ m?

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Question 9

Mass Radius Orbital radius Orbital period Moon A 4.0\times1 unknown 2.0\times1 4.0\times1 Moon B 1.5\times10 2.0\times1 3.0\times1 unknown Mithra is an unknown planet that has two moons,A and B,in circular orbits around it.The table summarizes the hypothetical data about these moons.What is the magnitude of the maximum gravitational force that Moon A exerts on Moon B? (G = 6.67 × 10^-11 N ∙ m²/kg²)

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Question 10

A satellite of mass M takes time T to orbit a planet.If the satellite had twice as much mass,the time for it to orbit the planet at the same altitude would be

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Question 11

A 0.50-kg toy is attached to the end of a 1.0-m very light string.The toy is whirled in a horizontal circular path on a frictionless tabletop.If the maximum tension force that the string can exert on an object without breaking is 350 N,what is the maximum speed the toy can have without breaking the string?

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Question 12

A car goes around a circular curve on a horizontal road at constant speed.What is the direction of the friction force exerted on the car by the road?

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Question 13

A 2.0-kg ball is moving with a constant speed of 5.0 m/s in a horizontal circle whose diameter is 1.0 m.What is the magnitude of the sum of the forces exerted on the ball?

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Question 14

A spherically symmetric planet has four times the earth's mass and twice its radius.If a jar of peanut butter weighs 12 N on the surface of the Earth,how much would it weigh on the surface of this planet?

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Question 15

A future use of space stations may be to provide hospitals for severely burned persons.It is very painful for a badly burned person on Earth to lie in bed.In a space station,the effect of gravity can be reduced or even eliminated.How long should each rotation take for a doughnut-shaped hospital of 200-m radius so that persons on the outer perimeter would experience 1/10 the normal gravitational pull of Earth?

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Question 16

Two moons orbit a planet in circular orbits.Moon A has orbital radius R,and moon B has orbital radius 4R.Moon A takes 20 days to complete one orbit.How long does it take moon B to complete an orbit?

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Question 17

At a distance of 14,000 km from the center of Planet Z-99,the free-fall acceleration is 32 m/s².What is the free-fall acceleration at a point 28,000 km from the center of this planet?

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Question 18

A 20-g bead is attached to a light 120 cm-long string as shown in the figure.If the angle α is measured to be 18°,what is the speed of the bead?

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Question 19

A particularly scary roller coaster contains a loop-the-loop in which the car and rider are completely upside down.If the radius of the loop is $13.2 \mathrm {~m} \text {, }$ with what minimum speed must the car traverse the loop so that the rider does not fall out while upside down at the top? Assume the rider is not strapped to the car.

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Question 20

Showing 1 - 20 of 119

Exam 5: Circular Motion

A jet plane flying 600 m/s has an acceleration of 4.0 g when pulling out of a circular dive.What is the radius of curvature of the circular part of the path in which the plane is flying?

As a 70-kg person stands at the seashore gazing at the tides (which are caused by the Moon),how large is the gravitational force exerted on that person by the Moon? The mass of the Moon is 7.35 × 1022 kg,the distance to the Moon is 3.82 × 108 m,and G = 6.67 × 10-11 N ∙ m2/kg2.

An object moves with a constant speed of 30 m/s on a circular track of radius 150 m.What is the acceleration of the object?

The curved section of a horizontal highway is a circular unbanked arc of radius 740 m.If the coefficient of static friction between this roadway and typical tires is 0.40,what would be the maximum safe driving speed for this horizontal curved section of highway?

When a spacecraft is launched from the earth toward the sun,at what distance from center of the earth will the gravitational forces exerted on it by the sun and earth cancel? Earth's mass is 5.97 × 1024 kg,the sun's mass is 1.99 × 1030 kg,and the Earth-sun distance is 1.5 × 1011 m.

By how many newtons does the weight of a 100-kg person decrease when he goes from sea level to mountain top at an altitude of 5000 m? The mean radius of the earth is 6.38 × 106 m.

The mass of the Moon is 7.4 × 1022 kg,its radius is 1.74 × 103 km,and it has no atmosphere.What is the free-fall acceleration at the surface of the Moon? (G = 6.67 × 10-11 N ∙ m2/kg2)

It takes the planet Jupiter 12 years to orbit the sun once in a nearly circular orbit.Assuming that Jupiter's orbit is truly circular,what is the distance from Jupiter to the sun,given that the distance from the earth to the sun is 1.5 × 1011 m?

A satellite of mass M takes time T to orbit a planet.If the satellite had twice as much mass,the time for it to orbit the planet at the same altitude would be

A car goes around a circular curve on a horizontal road at constant speed.What is the direction of the friction force exerted on the car by the road?

A 2.0-kg ball is moving with a constant speed of 5.0 m/s in a horizontal circle whose diameter is 1.0 m.What is the magnitude of the sum of the forces exerted on the ball?

A spherically symmetric planet has four times the earth's mass and twice its radius.If a jar of peanut butter weighs 12 N on the surface of the Earth,how much would it weigh on the surface of this planet?

Two moons orbit a planet in circular orbits.Moon A has orbital radius R,and moon B has orbital radius 4R.Moon A takes 20 days to complete one orbit.How long does it take moon B to complete an orbit?

At a distance of 14,000 km from the center of Planet Z-99,the free-fall acceleration is 32 m/s2.What is the free-fall acceleration at a point 28,000 km from the center of this planet?

A 20-g bead is attached to a light 120 cm-long string as shown in the figure.If the angle α is measured to be 18°,what is the speed of the bead?

Introduction

Kinematics: Motion in One Dimension

Newtonian Mechanics

Applying Newtons Laws

Impulse and Linear Momentum

Work and Energy

Extended Bodies at Rest

Rotational Motion

Gases

Static Fluids

Fluids in Motion

First Law of Thermodynamics

Second Law of Thermodynamics

Electric Charge force and Energy

The Electric Field

Dc Circuits

Magnetism

Electromagnetic Induction

Vibrational Motion

Mechanical Waves

Reflection and Refraction

Mirrors and Lenses

Wave Optics

Electromagnetic Waves

Special Relativity

Quantum Optics

Atomic Physics

Nuclear Physics

Particle Physics

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As a 70-kg person stands at the seashore gazing at the tides (which are caused by the Moon),how large is the gravitational force exerted on that person by the Moon? The mass of the Moon is 7.35 × 10²² kg,the distance to the Moon is 3.82 × 10⁸ m,and G = 6.67 × 10^-11 N ∙ m²/kg².

When a spacecraft is launched from the earth toward the sun,at what distance from center of the earth will the gravitational forces exerted on it by the sun and earth cancel? Earth's mass is 5.97 × 10²⁴ kg,the sun's mass is 1.99 × 10³⁰ kg,and the Earth-sun distance is 1.5 × 10¹¹ m.

By how many newtons does the weight of a 100-kg person decrease when he goes from sea level to mountain top at an altitude of 5000 m? The mean radius of the earth is 6.38 × 10⁶ m.

The mass of the Moon is 7.4 × 10²² kg,its radius is 1.74 × 10³ km,and it has no atmosphere.What is the free-fall acceleration at the surface of the Moon? (G = 6.67 × 10^-11 N ∙ m²/kg²)

It takes the planet Jupiter 12 years to orbit the sun once in a nearly circular orbit.Assuming that Jupiter's orbit is truly circular,what is the distance from Jupiter to the sun,given that the distance from the earth to the sun is 1.5 × 10¹¹ m?

At a distance of 14,000 km from the center of Planet Z-99,the free-fall acceleration is 32 m/s².What is the free-fall acceleration at a point 28,000 km from the center of this planet?