Concept explainers
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.
Whether an apple exert a gravitational force on the Earth. If so, the magnitude of the force consideringthe apple (a) attached to a tree (b) falling.
Answer to Problem 14Q
Solution:
Yes, applealso exerts a gravitational force on the Earth. It is equal to the mass of apple multiplied by the acceleration due to gravity by Earth at the position of apple.
According to Newton’s third law of motion, every action has an equal and opposite reaction.
(Force exerted by Earth on apple) = (Force exerted by apple on Earth)
In both cases
(a) Apple exertsa force on Earth
Where,
g: acceleration due to gravity
(b) When Apple is falling, then also it exerts a gravitational force on Earth which is equal to
Where,
g: acceleration due to gravity
Explanation of Solution
Two bodies separated by distance r, gravitational force is given by
Calculation:
Apple also exert a gravitational force on Earth.
In both the cases,
Conclusion:
Apple and the Earth both exert a force on each other. It does not matter apple is attached to a tree or falling. It follows from Newton’s third law.
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