First slide

Collisions

Question

A body of mass 2 kg collides with a wall with speed 100 m/s and rebounds with same speed. If the time of contact was 1/50 second, the force exerted on the wall is

Moderate

A

8 N
B

$2 \times 10^{4} N$
C

4 N
D

$10^{4} N$

Solution

$F = \frac{dp}{dt} = m \frac{dv}{dt} = \frac{m \times 2 v}{1 / 50} = \frac{2 \times 2 \times 100}{1 / 50} = 2 \times 10^{4} N$

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