1)

A man holding a rifle (mass of person and rifle together is 100kg) stands on a smooth surface and fires 10 shots horizontally in 5 sec. Each bullet has a mass of 10 g with a muzzle velocity of 800 ms-1 . The velocity which the rifleman attains after firing 10 shots will be


A) 8 m/s

B) 0.8m/s

C) 0.08 m/s

D) -0.8m/s

Answer:

Option D

Explanation:

According to the law of conservation of momentum,

P(Initial) =  P(final)

mu1 + Mu2 = mv1 + Mv2 

0 + 0 = 10×10×10-3×800 +[100- 10 x 10 x $10^{-3}$]v

v = $\frac{-800}{999}$ = -0.8 m/s

Negative sign indicates that the velocity is opposite to the direction of bullets