Does the acceleration with which a body falls | vedclass

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Question

(B) The acceleration due to gravity $(g)$ experienced by a body falling towards the Earth is given by the formula $g = \frac{GM}{R^2}$,where $G$ is th

Vedclass · Accepted Answer

No,it is independent of the mass of the body.

Vedclass · Answer

(B) The acceleration due to gravity $(g)$ experienced by a body falling towards the Earth is given by the formula $g = \frac{GM}{R^2}$,where $G$ is the universal gravitational constant,$M$ is the mass of the Earth,and $R$ is the radius of the Earth.Since this formula does not include the mass of the falling body $(m)$,the acceleration is independent of the mass of the body.Therefore,all objects fall with the same acceleration regardless of their mass in the absence of air resistance.

Does the acceleration with which a body falls towards the centre of the earth depend upon its mass?

Similar Questions

The value of $g$ on the earth's surface is $9.8 \, m s^{-2}$. Suppose the earth suddenly shrinks to one-third of its present size without losing any mass. What is the value of $g$ on the surface of the shrunk earth (in $, m s^{-2}$)?

Gravitational force on an imaginary planet is six times stronger than the gravitational force of the Earth. Determine the value of acceleration due to gravity and the weight of an object of mass $50 \, kg$ on that planet.

At which of the following locations is the value of $g$ maximum?

$(a)$ Differentiate between $G$ and $g$.
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$A$ man weighs $600\, N$ on the surface of the Earth. What would be his mass and weight on the surface of the Moon? $(g = 10\, m s^{-2})$

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