Does an apple exert a gravitational force on the Earth? If so, how large a force? Consider an apple ( a ) attached to a tree and ( b ) falling.

Question

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Answer 1

Textbook Question

Chapter 6, Problem 1Q

Does an apple exert a gravitational force on the Earth? If so, how large a force? Consider an apple (a) attached to a tree and (b) falling.

(a)

Expert Solution

To determine

Whether an apple exerts force on the Earth, if yes the magnitude of the force while considering an apple attached to a tree.

Answer to Problem 1Q

The apple exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

Explanation of Solution

According to newton’s third law of motion, for every action there will be equal and opposite reaction and the action and reaction are acting on different bodies. The Earth attracts every object towards its center. The force is equal gravitational attractional force.

According to universal theory of gravitation, Earth attracts apple with magnitude equal to Fapple=GMEmappler2 where, G is the universal gravitational constant, ME is the mass of the Earth, mapple is the mass of the apple and r is the distance between center of Earth and apple. Newton’s third law implies that force acting on Earth by apple is equal to force that Earth exerts on apple.

Conclusion:

Therefore, the apple exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

(b)

Expert Solution

To determine

Whether an apple exerts force on the Earth, if yes the magnitude of the force while considering the apple is falling.

Answer to Problem 1Q

The apple which is free fall exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

Explanation of Solution

Universal gravitational law states that every object in the universe attracts every other object with a force which is equal to product of their masses and square of the distance between them.

At each point of motion the gravitational force of attraction increases due to decreasing separation. The Earth attracts the apple which is falling at each time of motion. Then according to Newton’s third law of motion, the apple exerts equal force on the Earth.

Conclusion:

Therefore, the apple which is free fall exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

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03:12

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15. An object of mass m = 8.10 kg is attached to an ideal spring and allowed to hang in the earth's gravitational field. The spring stretches 23.10 cm before it reaches its equilibrium position. The mass then undergoes simple harmonic motion with an amplitude of 10.5 cm. Calculate the velocity of the mass in m/s at a time t= 1.00s to three significant figures.

Answer 2

Textbook Question

Chapter 6, Problem 1Q

Does an apple exert a gravitational force on the Earth? If so, how large a force? Consider an apple (a) attached to a tree and (b) falling.

(a)

Expert Solution

To determine

Whether an apple exerts force on the Earth, if yes the magnitude of the force while considering an apple attached to a tree.

Answer to Problem 1Q

The apple exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

Explanation of Solution

According to newton’s third law of motion, for every action there will be equal and opposite reaction and the action and reaction are acting on different bodies. The Earth attracts every object towards its center. The force is equal gravitational attractional force.

According to universal theory of gravitation, Earth attracts apple with magnitude equal to Fapple=GMEmappler2 where, G is the universal gravitational constant, ME is the mass of the Earth, mapple is the mass of the apple and r is the distance between center of Earth and apple. Newton’s third law implies that force acting on Earth by apple is equal to force that Earth exerts on apple.

Conclusion:

Therefore, the apple exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

(b)

Expert Solution

To determine

Whether an apple exerts force on the Earth, if yes the magnitude of the force while considering the apple is falling.

Answer to Problem 1Q

The apple which is free fall exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

Explanation of Solution

Universal gravitational law states that every object in the universe attracts every other object with a force which is equal to product of their masses and square of the distance between them.

At each point of motion the gravitational force of attraction increases due to decreasing separation. The Earth attracts the apple which is falling at each time of motion. Then according to Newton’s third law of motion, the apple exerts equal force on the Earth.

Conclusion:

Therefore, the apple which is free fall exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

03:12

Answer 3

Textbook Question

Chapter 6, Problem 1Q

Does an apple exert a gravitational force on the Earth? If so, how large a force? Consider an apple (a) attached to a tree and (b) falling.

(a)

Expert Solution

To determine

Whether an apple exerts force on the Earth, if yes the magnitude of the force while considering an apple attached to a tree.

Answer to Problem 1Q

The apple exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

Explanation of Solution

According to newton’s third law of motion, for every action there will be equal and opposite reaction and the action and reaction are acting on different bodies. The Earth attracts every object towards its center. The force is equal gravitational attractional force.

According to universal theory of gravitation, Earth attracts apple with magnitude equal to Fapple=GMEmappler2 where, G is the universal gravitational constant, ME is the mass of the Earth, mapple is the mass of the apple and r is the distance between center of Earth and apple. Newton’s third law implies that force acting on Earth by apple is equal to force that Earth exerts on apple.

Conclusion:

Therefore, the apple exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

(b)

Expert Solution

To determine

Whether an apple exerts force on the Earth, if yes the magnitude of the force while considering the apple is falling.

Answer to Problem 1Q

The apple which is free fall exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

Explanation of Solution

Universal gravitational law states that every object in the universe attracts every other object with a force which is equal to product of their masses and square of the distance between them.

At each point of motion the gravitational force of attraction increases due to decreasing separation. The Earth attracts the apple which is falling at each time of motion. Then according to Newton’s third law of motion, the apple exerts equal force on the Earth.

Conclusion:

Therefore, the apple which is free fall exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

03:12

Answer 4

Textbook Question

Chapter 6, Problem 1Q

Does an apple exert a gravitational force on the Earth? If so, how large a force? Consider an apple (a) attached to a tree and (b) falling.

(a)

Expert Solution

To determine

Whether an apple exerts force on the Earth, if yes the magnitude of the force while considering an apple attached to a tree.

Answer to Problem 1Q

The apple exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

Explanation of Solution

According to newton’s third law of motion, for every action there will be equal and opposite reaction and the action and reaction are acting on different bodies. The Earth attracts every object towards its center. The force is equal gravitational attractional force.

According to universal theory of gravitation, Earth attracts apple with magnitude equal to Fapple=GMEmappler2 where, G is the universal gravitational constant, ME is the mass of the Earth, mapple is the mass of the apple and r is the distance between center of Earth and apple. Newton’s third law implies that force acting on Earth by apple is equal to force that Earth exerts on apple.

Conclusion:

Therefore, the apple exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

(b)

Expert Solution

To determine

Whether an apple exerts force on the Earth, if yes the magnitude of the force while considering the apple is falling.

Answer to Problem 1Q

The apple which is free fall exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

Explanation of Solution

Universal gravitational law states that every object in the universe attracts every other object with a force which is equal to product of their masses and square of the distance between them.

At each point of motion the gravitational force of attraction increases due to decreasing separation. The Earth attracts the apple which is falling at each time of motion. Then according to Newton’s third law of motion, the apple exerts equal force on the Earth.

Conclusion:

Therefore, the apple which is free fall exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

(a)

Expert Solution

To determine

Whether an apple exerts force on the Earth, if yes the magnitude of the force while considering an apple attached to a tree.

Answer to Problem 1Q

The apple exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

Explanation of Solution

According to newton’s third law of motion, for every action there will be equal and opposite reaction and the action and reaction are acting on different bodies. The Earth attracts every object towards its center. The force is equal gravitational attractional force.

According to universal theory of gravitation, Earth attracts apple with magnitude equal to Fapple=GMEmappler2 where, G is the universal gravitational constant, ME is the mass of the Earth, mapple is the mass of the apple and r is the distance between center of Earth and apple. Newton’s third law implies that force acting on Earth by apple is equal to force that Earth exerts on apple.

Conclusion:

Therefore, the apple exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

(b)

Expert Solution

To determine

Whether an apple exerts force on the Earth, if yes the magnitude of the force while considering the apple is falling.

Answer to Problem 1Q

The apple which is free fall exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

Explanation of Solution

Universal gravitational law states that every object in the universe attracts every other object with a force which is equal to product of their masses and square of the distance between them.

At each point of motion the gravitational force of attraction increases due to decreasing separation. The Earth attracts the apple which is falling at each time of motion. Then according to Newton’s third law of motion, the apple exerts equal force on the Earth.

Conclusion:

Therefore, the apple which is free fall exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

Answer 8

(a)

Expert Solution

To determine

Whether an apple exerts force on the Earth, if yes the magnitude of the force while considering an apple attached to a tree.

Answer to Problem 1Q

The apple exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

Explanation of Solution

According to newton’s third law of motion, for every action there will be equal and opposite reaction and the action and reaction are acting on different bodies. The Earth attracts every object towards its center. The force is equal gravitational attractional force.

According to universal theory of gravitation, Earth attracts apple with magnitude equal to Fapple=GMEmappler2 where, G is the universal gravitational constant, ME is the mass of the Earth, mapple is the mass of the apple and r is the distance between center of Earth and apple. Newton’s third law implies that force acting on Earth by apple is equal to force that Earth exerts on apple.

Conclusion:

Therefore, the apple exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

Whether an apple exerts force on the Earth, if yes the magnitude of the force while considering an apple attached to a tree.

Answer 13

Answer to Problem 1Q

The apple exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

Answer 14

Explanation of Solution

According to newton’s third law of motion, for every action there will be equal and opposite reaction and the action and reaction are acting on different bodies. The Earth attracts every object towards its center. The force is equal gravitational attractional force.

According to universal theory of gravitation, Earth attracts apple with magnitude equal to Fapple=GMEmappler2 where, G is the universal gravitational constant, ME is the mass of the Earth, mapple is the mass of the apple and r is the distance between center of Earth and apple. Newton’s third law implies that force acting on Earth by apple is equal to force that Earth exerts on apple.

Conclusion:

Therefore, the apple exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

Answer 15

(b)

Expert Solution

To determine

Whether an apple exerts force on the Earth, if yes the magnitude of the force while considering the apple is falling.

Answer to Problem 1Q

The apple which is free fall exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

Explanation of Solution

Universal gravitational law states that every object in the universe attracts every other object with a force which is equal to product of their masses and square of the distance between them.

At each point of motion the gravitational force of attraction increases due to decreasing separation. The Earth attracts the apple which is falling at each time of motion. Then according to Newton’s third law of motion, the apple exerts equal force on the Earth.

Conclusion:

Therefore, the apple which is free fall exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

Whether an apple exerts force on the Earth, if yes the magnitude of the force while considering the apple is falling.

Answer 20

Answer to Problem 1Q

The apple which is free fall exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.

Answer 21

Explanation of Solution

Universal gravitational law states that every object in the universe attracts every other object with a force which is equal to product of their masses and square of the distance between them.

At each point of motion the gravitational force of attraction increases due to decreasing separation. The Earth attracts the apple which is falling at each time of motion. Then according to Newton’s third law of motion, the apple exerts equal force on the Earth.

Conclusion:

Therefore, the apple which is free fall exerts a force on the Earth in which magnitude is equal to the force at which Earth exerts on apple.