If a hammer and a one rupee coin are dropped from rest simultaneously from the top of a tower. Which would reach the ground first? (Neglect air/atmosphere)

Hammer

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Coin

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Both will reach at the same time

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Insufficient information

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Solution

The correct option is C Both will reach at the same time
Acceleration due to gravity near the surface of the earth is given by:
$g = G M_{e} / R_{e}$
This means that all bodies have the same acceleration near the surface of the earth.

From equations of motion,
$s = u t + a t^{2} / 2$
$t = \sqrt{2 s / g}$

The distance moved, acceleration and initial velocity is the same for the two bodies. So, both the bodies reach at the same time.

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