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 proportional to the mass of the body,

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

Air resistance $\large R \propto m \Rightarrow r = km$
a = acceleration = $\large \frac{{mg - R}} {m} = (g - k) = cons\tan t$
t = time of fall = $\large \sqrt {\frac{{2h}} {a}}$ = some for both bodies

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