$$10000$$ small balls, each weighing $$1$$ g, strikes $$1$$ $$cm2$$ of area per second with a velocity $$100$$ $$ms-1$$ in a normal direction and rebound with the same velocity. The value of pressure on the surface will be

Question

$$10000$$ small balls, each weighing $$1$$ g, strikes $$1$$ $$cm2$$ of area per second with a velocity $$100$$ $$ms-1$$ in a normal direction and rebound with the same velocity. The value of pressure on the surface will be

Infinity Learn · Accepted Answer

In $$1$$ $$cm2$$ area, $$104$$ balls are striking per second. Therefore, in $$1$$ $$m2$$ area, $$108$$ balls will strike per second.Change in momentum of each ball per second will be $$2$$ mu.∴  Pressure $$=FA=N($$Δ$$p/$$Δ$$t)A=n$$×$$2m$$×u∵$$n=NA$$Δ$$t=108$$                      $$=$$ $$108$$×$$2$$×$$10-3$$×$$100$$                       $$=$$ $$2$$×$$107$$ $$Nm-2$$

10000 small balls, each weighing 1 g, strikes 1 cm²of area per second with a velocity $100 {ms}^{- 1}$ in a normal direction and rebound with the same velocity. The value of pressure on the surface will be

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10000 small balls, each weighing 1 g, strikes 1 cm2 of area per second with a velocity 100 ms-1 in a normal direction and rebound with the same velocity. The value of pressure on the surface will be

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10000 small balls, each weighing 1 g, strikes 1 cm²of area per second with a velocity $100 {ms}^{- 1}$ in a normal direction and rebound with the same velocity. The value of pressure on the surface will be