At their closest approach,Venus and Earth are 4.20 × 1010 m apart.The mass of Venus is 4.87 × 1024 kg,the mass of Earth is 5.97 × 1024 kg,and G = 6.67 × 10-11 N ∙ m2/kg2.What is the magnitude of the gravitational force exerted by Venus on Earth at that point?

A) 1.10 × 1018 N B) 4.62 × 1028 N C) 5.43 × 1026 N D) 6.30 × 1020 N E) 1.72 × 1019 N A) 1.10 × 1018 N B) 4.62 × 1028 N C) 5.43 × 1026 N D) 6.30 × 1020 N E) 1.72 × 1019 N

Exam 5: Circular Motion

A curved portion of highway has a radius of curvature of 65 m.As a highway engineer,you want to bank this curve at the proper angle for a steady speed of 22 m/s. (a)What banking angle should you specify for this curve? (b)At the proper banking angle,what normal force and what friction force does the highway exert on a 750-kg car going around the curve at the proper speed?

(Short Answer)

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Question 41

At their closest approach,Venus and Earth are 4.20 × 10¹⁰ m apart.The mass of Venus is 4.87 × 10²⁴ kg,the mass of Earth is 5.97 × 10²⁴ kg,and G = 6.67 × 10^-11 N ∙ m²/kg².What is the magnitude of the gravitational force exerted by Venus on Earth at that point?

(Multiple Choice)

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Question 42

What is the gravitational force acting on a 59-kg person due to another 59-kg person standing 2.0 m away? We can model each person as a small sphere.(G = 6.67 × 10^-11 N ∙ m²/kg²)

(Multiple Choice)

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Question 43

A 600-kg car is going around a banked curve with a radius of 110 m at a steady speed of 24.5 m/s.What is the appropriate banking angle so that the car stays on its path without the assistance of friction?

(Multiple Choice)

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Question 44

A spaceship with a mass of 2.8 × 10⁶ kg is traveling toward two spherical asteroids,each with a mass of 5.0 × 10¹⁶ kg,that are 40 km apart center-to-center.Its path is perpendicular to the line joining the asteroids and is aimed at the midpoint of that line.What is the sum of the gravitational forces exerted by the asteroids on the spaceship when the spaceship is 30 km away from that midpoint? (G = 6.67 × 10^-11 N ∙ m²/kg²)

(Multiple Choice)

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Question 45

The planet Jupiter is 7.78 × 10¹¹ m from the sun.How long does it take for Jupiter to orbit once about the sun given that the distance from the earth to the sun is 1.50 × 10¹¹ m?

(Multiple Choice)

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Question 46

What would be the gravitational force that a planet with the same density as Earth and having twice Earth's radius exerts on a 59.1-kg astronaut?

(Multiple Choice)

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Question 47

The Moon is 3.84 × 10⁸ m from Earth and takes 27.3 days to complete each orbit.What are the magnitude and direction of the acceleration of the Moon,assuming a circular orbit?

(Short Answer)

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Question 48

Two small balls,A and B,attract each other gravitationally,exerting a force of magnitude F on each other.If we now double both masses and the separation of the balls,what will now be the magnitude of the attractive force that they exert on each one?

(Multiple Choice)

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Question 49

If NASA wants to put a satellite in a circular orbit around the sun so it will make 2.0 orbits per year,at what distance (in astronomical units,AU)from the sun should that satellite orbit? The earth's orbit is 1.0 AU from the sun.

(Multiple Choice)

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Question 50

Let the orbital radius of a planet be R and let the orbital period of the planet be T.What quantity is constant for all planets orbiting the sun,assuming circular orbits?

(Multiple Choice)

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Question 51

The mass of Pluto is 1.31 × 10²² kg and its radius is 1.15 × 10⁶ m.What is the acceleration of a freely-falling object at the surface of Pluto if it has no atmosphere? (G = 6.67 × 10^-11 N ∙ m²/kg²)

(Multiple Choice)

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Question 52

A disk-shaped space station 125 m in diameter spins at a uniform rate about an axis through its center and perpendicular to the plane of the disk.If the acceleration of a point on the rim of the disk is to be equal to g,how long does it take for the station to make one revolution? Use g = 9.8 m/s².

(Short Answer)

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Question 53

The radius of the earth is R.At what distance above the earth's surface will the free-fall acceleration be 4.9 m/s²?

(Multiple Choice)

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Question 54

If the earth were twice as far from the sun as it presently is,how long (in terms of the present year)would it take it to make one orbit around the sun?

(Multiple Choice)

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Question 55

Shown below are the velocity and acceleration vectors for an object in several different types of motion.In which case is the object's velocity changing while its speed is not changing?

(Multiple Choice)

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Question 56

The earth has radius R.A satellite of mass 100 kg is in orbit at an altitude of 3R above the earth's surface.What is the force that Earth exerts on the satellite at the altitude of its orbit?

(Multiple Choice)

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Question 57

The International Space Station is orbiting at an altitude of about 370 km above the earth's surface.The mass of the earth is 5.97 × 10²⁴ kg,the radius of the earth is 6.38 × 10⁶ m,and G = 6.67 × 10^-11 N ∙ m²/kg².Assume a circular orbit. (a)What is the period of the International Space Station's orbit? (b)What is the speed of the International Space Station in its orbit?

(Short Answer)

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Question 58

Suppose our sun had 4 times its present mass but the earth orbited it at the same distance as it presently does.What would be the length of the year on the earth under those conditions?

(Multiple Choice)

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Question 59

Two small objects,with masses m and M,are originally a distance r apart,and the magnitude of the gravitational force they exert on each one is F.The masses are changed to 2m and 2M,and the distance is changed to 4r.What is the magnitude of the new gravitational force?

(Multiple Choice)

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Question 60

Showing 41 - 60 of 119

Exam 5: Circular Motion

At their closest approach,Venus and Earth are 4.20 × 1010 m apart.The mass of Venus is 4.87 × 1024 kg,the mass of Earth is 5.97 × 1024 kg,and G = 6.67 × 10-11 N ∙ m2/kg2.What is the magnitude of the gravitational force exerted by Venus on Earth at that point?

What is the gravitational force acting on a 59-kg person due to another 59-kg person standing 2.0 m away? We can model each person as a small sphere.(G = 6.67 × 10-11 N ∙ m2/kg2)

A 600-kg car is going around a banked curve with a radius of 110 m at a steady speed of 24.5 m/s.What is the appropriate banking angle so that the car stays on its path without the assistance of friction?

The planet Jupiter is 7.78 × 1011 m from the sun.How long does it take for Jupiter to orbit once about the sun given that the distance from the earth to the sun is 1.50 × 1011 m?

What would be the gravitational force that a planet with the same density as Earth and having twice Earth's radius exerts on a 59.1-kg astronaut?

The Moon is 3.84 × 108 m from Earth and takes 27.3 days to complete each orbit.What are the magnitude and direction of the acceleration of the Moon,assuming a circular orbit?

Two small balls,A and B,attract each other gravitationally,exerting a force of magnitude F on each other.If we now double both masses and the separation of the balls,what will now be the magnitude of the attractive force that they exert on each one?

If NASA wants to put a satellite in a circular orbit around the sun so it will make 2.0 orbits per year,at what distance (in astronomical units,AU)from the sun should that satellite orbit? The earth's orbit is 1.0 AU from the sun.

Let the orbital radius of a planet be R and let the orbital period of the planet be T.What quantity is constant for all planets orbiting the sun,assuming circular orbits?

The mass of Pluto is 1.31 × 1022 kg and its radius is 1.15 × 106 m.What is the acceleration of a freely-falling object at the surface of Pluto if it has no atmosphere? (G = 6.67 × 10-11 N ∙ m2/kg2)

A disk-shaped space station 125 m in diameter spins at a uniform rate about an axis through its center and perpendicular to the plane of the disk.If the acceleration of a point on the rim of the disk is to be equal to g,how long does it take for the station to make one revolution? Use g = 9.8 m/s2.

The radius of the earth is R.At what distance above the earth's surface will the free-fall acceleration be 4.9 m/s2?

If the earth were twice as far from the sun as it presently is,how long (in terms of the present year)would it take it to make one orbit around the sun?

Shown below are the velocity and acceleration vectors for an object in several different types of motion.In which case is the object's velocity changing while its speed is not changing?

The earth has radius R.A satellite of mass 100 kg is in orbit at an altitude of 3R above the earth's surface.What is the force that Earth exerts on the satellite at the altitude of its orbit?

Suppose our sun had 4 times its present mass but the earth orbited it at the same distance as it presently does.What would be the length of the year on the earth under those conditions?

Two small objects,with masses m and M,are originally a distance r apart,and the magnitude of the gravitational force they exert on each one is F.The masses are changed to 2m and 2M,and the distance is changed to 4r.What is the magnitude of the new gravitational force?

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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At their closest approach,Venus and Earth are 4.20 × 10¹⁰ m apart.The mass of Venus is 4.87 × 10²⁴ kg,the mass of Earth is 5.97 × 10²⁴ kg,and G = 6.67 × 10^-11 N ∙ m²/kg².What is the magnitude of the gravitational force exerted by Venus on Earth at that point?

What is the gravitational force acting on a 59-kg person due to another 59-kg person standing 2.0 m away? We can model each person as a small sphere.(G = 6.67 × 10^-11 N ∙ m²/kg²)

The planet Jupiter is 7.78 × 10¹¹ m from the sun.How long does it take for Jupiter to orbit once about the sun given that the distance from the earth to the sun is 1.50 × 10¹¹ m?

The Moon is 3.84 × 10⁸ m from Earth and takes 27.3 days to complete each orbit.What are the magnitude and direction of the acceleration of the Moon,assuming a circular orbit?

The mass of Pluto is 1.31 × 10²² kg and its radius is 1.15 × 10⁶ m.What is the acceleration of a freely-falling object at the surface of Pluto if it has no atmosphere? (G = 6.67 × 10^-11 N ∙ m²/kg²)

The radius of the earth is R.At what distance above the earth's surface will the free-fall acceleration be 4.9 m/s²?