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Question

Acceleration due to gravity of a body is independent of


A

mass of the body

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B

altitude of the body

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C

latitude of the body

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D

depth below the earth's surface

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Solution

The correct option is A

mass of the body


Step 1: Deriving the formula:

Gravitational force is given as,
F=GMmr2
Now, we know this from Newton's second law of motion,
F=ma
ma=GMmr2
Step 2:

a=GMr2 g=GMr2
So, here acceleration due to gravity is represented by (a) which depends on gravitational constant(G), mass of Earth(M) and radius of Earth(R) but it does not depend on mass of body(m). Therefore, the correct answer is (a)


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