What is the distance from the moon to the point between Earth and the Moon where the gravitational pulls of Earth and Moon are equal? The mass of Earth is 5.97 × 1024 kg, the mass of the Moon is 7.35 × 1022 kg, the distance between Earth and the Moon is 3.84 × 108 m, and G = 6.67 x 10-11 N•m2/kg2.

A) 3.45 × 108 m B) 3.83 × 107 m C) 4.69 × 106 m D) 3.83 × 106 m E) 4.69 × 107 m A) 3.45 × 108 m B) 3.83 × 107 m C) 4.69 × 106 m D) 3.83 × 106 m E) 4.69 × 107 m

What is the force exerted by the Sun on the earth? The mass of the Sun is 1.99 × 1030 kg, the mass of the earth is 5.97 × 1024 kg, the Earth-Sun distance is 1.50 × 1011 m, and G = 6.67 × 10-11 N m2/kg2.

A) 5.28 × 1033 N B) 3.52 × 1022 N C) 8.85 × 108 N D) 7.25 × 1019 N E) 9.32 × 1011 N A) 5.28 × 1033 N B) 3.52 × 1022 N C) 8.85 × 108 N D) 7.25 × 1019 N E) 9.32 × 1011 N

The hydrogen atom consists of a proton of mass 1.67 × 10-27 kg and an orbiting electron of mass 9.11 × 10-31 kg. In one of its orbits, the electron is 5.3 × 10-11 m from the proton. What is the mutual attractive gravitational force between the electron and proton?

A) 1.8 × 10-47 N B) 3.6 × 10-47 N C) 5.4 × 10-47 N D) 7.0 × 10-47 N E) 9.3 × 10-47 N A) 1.8 × 10-47 N B) 3.6 × 10-47 N C) 5.4 × 10-47 N D) 7.0 × 10-47 N E) 9.3 × 10-47 N

Exam 6: Gravitation and Newtons6 Synthesis

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What is the distance from the moon to the point between Earth and the Moon where the gravitational pulls of Earth and Moon are equal? The mass of Earth is 5.97 × 10²⁴ kg, the mass of the Moon is 7.35 × 10²² kg, the distance between Earth and the Moon is 3.84 × 10⁸ m, and G = 6.67 x 10^-11 N•m²/kg².

(Multiple Choice)

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Question 21

What is the force exerted by the Sun on the earth? The mass of the Sun is 1.99 × 10³⁰ kg, the mass of the earth is 5.97 × 10²⁴ kg, the Earth-Sun distance is 1.50 × 10¹¹ m, and G = 6.67 × 10^-¹¹ N m2/kg2.

(Multiple Choice)

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Question 22

Three identical 50-kg masses are held at the corners of an equilateral triangle, 30 cm on each side. If one of the masses is released, what is its initial acceleration, if the only forces acting on it are the gravitational forces due to the other two masses?

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Question 23

An astronaut is piloting a spacecraft, which is in a circular orbit around Earth. A space station is ahead, on the same circular orbit. If he fires his rockets briefly to increase the forward speed of the rocket, what will happen?

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Question 24

You ride on an elevator that is moving with constant upward acceleration while standing on a bathroom scale. The reading on the scale is

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Question 25

A satellite of mass 500 kg orbits the Earth with a period of 6000 s. The Earth has a mass of 5.98 x 10²⁴ kg. (a) Calculate the magnitude of the Earth's gravitational force on the satellite. (b) Determine the altitude of the satellite above the Earth's surface.

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Question 26

State Kepler's first law of planetary motion.

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Question 27

Two moons orbit a planet in nearly 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?

(Multiple Choice)

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Question 28

State Newton's Law of Universal Gravitation.

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Question 29

A light beam traveling horizontally enters a hole in the side of a laboratory on planet X. The laboratory is 40.0 m wide. If the light beam hits the far wall a distance 0.20 mm below the height it entered the laboratory, what is the acceleration of gravity on planet X?

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Question 30

The moons of Mars, Phobos (Fear) and Deimos (Terror), are very close to the planet compared to Earth's Moon. Their orbital radii are 9,378 km and 23,459 km respectively. What is the ratio of the orbital speed of Phobos to that of Deimos?

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Question 31

The moons of Mars, Phobos (Fear) and Deimos (Terror), are very close to the planet compared to Earth's Moon. Their orbital radii are 9,378 km and 23,459 km respectively. What is the ratio of the period of revolution of Phobos to that of Deimos?

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Question 32

Because Earth's orbit is slightly elliptical, Earth actually gets closer to the Sun during part of the year. When Earth is closer to the Sun its orbital speed is

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Question 33

A spherical shell of inner diameter R and outer diameter 3R has a uniform density ρ. What is the magnitude of the gravitational acceleration a distance 4R from the center of the spherical shell?

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Question 34

The radius of the Earth is R. At what distance above the Earth's surface will the acceleration of gravity be 4.9 m/s²?

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Question 35

The International Space Station is orbiting at an altitude of about 370 km above the earth's surface. The mass of the earth is 5.976 × 10²⁴ kg and the radius of the earth is 6.378 × 10⁶ m. (a) Assuming a circular orbit, what is the period of the International Space Station's orbit? (b) Assuming a circular orbit, what is the speed of the International Space Station in its orbit?

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Question 36

The hydrogen atom consists of a proton of mass 1.67 × 10^-²⁷ kg and an orbiting electron of mass 9.11 × 10^-³¹ kg. In one of its orbits, the electron is 5.3 × 10^-¹¹ m from the proton. What is the mutual attractive gravitational force between the electron and proton?

(Multiple Choice)

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Question 37

According to Einstein's equivalence principle, which of the following cannot be distinguished from a system accelerating with uniform acceleration in the presence of no gravity by any measurement within the system?

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Question 38

A 36.0-kg child steps on a scale in an elevator. The scale reads 400 N. What is the magnitude of the acceleration of the elevator?

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Question 39

List the four fundamental forces in nature.

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Question 40

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Exam 6: Gravitation and Newtons6 Synthesis

What is the force exerted by the Sun on the earth? The mass of the Sun is 1.99 × 1030 kg, the mass of the earth is 5.97 × 1024 kg, the Earth-Sun distance is 1.50 × 1011 m, and G = 6.67 × 10-11 N m2/kg2.

Three identical 50-kg masses are held at the corners of an equilateral triangle, 30 cm on each side. If one of the masses is released, what is its initial acceleration, if the only forces acting on it are the gravitational forces due to the other two masses?

An astronaut is piloting a spacecraft, which is in a circular orbit around Earth. A space station is ahead, on the same circular orbit. If he fires his rockets briefly to increase the forward speed of the rocket, what will happen?

You ride on an elevator that is moving with constant upward acceleration while standing on a bathroom scale. The reading on the scale is

A satellite of mass 500 kg orbits the Earth with a period of 6000 s. The Earth has a mass of 5.98 x 1024 kg. (a) Calculate the magnitude of the Earth's gravitational force on the satellite. (b) Determine the altitude of the satellite above the Earth's surface.

State Kepler's first law of planetary motion.

Two moons orbit a planet in nearly 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?

State Newton's Law of Universal Gravitation.

A light beam traveling horizontally enters a hole in the side of a laboratory on planet X. The laboratory is 40.0 m wide. If the light beam hits the far wall a distance 0.20 mm below the height it entered the laboratory, what is the acceleration of gravity on planet X?

The moons of Mars, Phobos (Fear) and Deimos (Terror), are very close to the planet compared to Earth's Moon. Their orbital radii are 9,378 km and 23,459 km respectively. What is the ratio of the orbital speed of Phobos to that of Deimos?

The moons of Mars, Phobos (Fear) and Deimos (Terror), are very close to the planet compared to Earth's Moon. Their orbital radii are 9,378 km and 23,459 km respectively. What is the ratio of the period of revolution of Phobos to that of Deimos?

Because Earth's orbit is slightly elliptical, Earth actually gets closer to the Sun during part of the year. When Earth is closer to the Sun its orbital speed is

A spherical shell of inner diameter R and outer diameter 3R has a uniform density ρ. What is the magnitude of the gravitational acceleration a distance 4R from the center of the spherical shell?

The radius of the Earth is R. At what distance above the Earth's surface will the acceleration of gravity be 4.9 m/s2?

The hydrogen atom consists of a proton of mass 1.67 × 10-27 kg and an orbiting electron of mass 9.11 × 10-31 kg. In one of its orbits, the electron is 5.3 × 10-11 m from the proton. What is the mutual attractive gravitational force between the electron and proton?

According to Einstein's equivalence principle, which of the following cannot be distinguished from a system accelerating with uniform acceleration in the presence of no gravity by any measurement within the system?

A 36.0-kg child steps on a scale in an elevator. The scale reads 400 N. What is the magnitude of the acceleration of the elevator?

List the four fundamental forces in nature.

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What is the force exerted by the Sun on the earth? The mass of the Sun is 1.99 × 10³⁰ kg, the mass of the earth is 5.97 × 10²⁴ kg, the Earth-Sun distance is 1.50 × 10¹¹ m, and G = 6.67 × 10^-¹¹ N m2/kg2.

A satellite of mass 500 kg orbits the Earth with a period of 6000 s. The Earth has a mass of 5.98 x 10²⁴ kg. (a) Calculate the magnitude of the Earth's gravitational force on the satellite. (b) Determine the altitude of the satellite above the Earth's surface.

The radius of the Earth is R. At what distance above the Earth's surface will the acceleration of gravity be 4.9 m/s²?

The hydrogen atom consists of a proton of mass 1.67 × 10^-²⁷ kg and an orbiting electron of mass 9.11 × 10^-³¹ kg. In one of its orbits, the electron is 5.3 × 10^-¹¹ m from the proton. What is the mutual attractive gravitational force between the electron and proton?