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Question

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

A
Hammer
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B
Coin
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C
Both will reach at the same time
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D
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 earth depends only on the mass and the radius of Earth. It does not depend on the mass of the body taken into consideration. So, both coin and hammer undergo the same acceleration equal to 9.8 ms2.
According to equation of motion,
s=ut+12at2
Since the initial speed, acceleration and distance travelled is the same for both, both will take the same time.

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