100 balls each of mass m moving with speed v simultaneously strike a wall normally and reflected back with…

100 balls each of mass m moving with speed v simultaneously strike a wall normally and reflected back with same speed, in time t s. The total force exerted by the balls on the wall is
  1. 100mvt
  2. 200mvt
  3. 200 mvt
  4. mv100t

Solution

.

Force exerted by each ball is F=∆p∆t, here, p is momentum and t is time.

So, for one ball F=mv-m-vt=2mvt

Now, total force exerted by the balls on the wall is Fnet=100×F=200mvt.

Asked in: JEE Main 2023 (31 Jan Shift 1)

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