First slide

Release from certain height

Question

Two bodies of different masses are dropped simultaneously from the top of a tower. If air resistance is same on both of them,

Moderate

A

the heavier body reaches the ground earlier
B

the lighter body reaches the ground earlier
C

both reach the ground simultaneously
D

cannot be decided

Solution

If air resistance is R and mass of body is 'm', then acceleration
$\large a = \frac{{mg - R}} {m} = g - \frac{R} {m}$
, Therefore acceleration 'a' is more for heavier body. Since time of fall
$\large t = \sqrt {\frac{{2h}} {a}}$
, the heavier body reaches the ground earlier.

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