Laws Of Motion Question 271

Question: 10,000 small balls, each weighing 1 gm, strike one square cm of area per second with a velocity 100 m/s in a normal direction and rebound with the same velocity. The value of pressure on the surface will be [MP PMT 1994]

Options:

A) $ 2\times 10^{3}N/m^{2} $

B) $ 2\times 10^{5}N/m^{2} $

C) $ 10^{7}N/m^{2} $

D) $ 2\times 10^{7}N/m^{2} $

Show Answer

Answer:

Correct Answer: D

Solution:

$ P=\frac{F}{A}=\frac{n[mv-(-mv)]}{A}=\frac{2mnv}{A} $

$ =\frac{2\times {{10}^{-3}}\times 10^{4}\times 10^{2}}{{{10}^{-4}}} $

$ =2\times 10^{7}N/m^{2} $



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