Home Physics Work, Energy, Power and Collision JEE Main 2023 A bullet of mass 0.1 kg moving horizontally …
Physics Work, Energy, Power and Collision JEE Main 2023 MCQ (Single Correct)

A bullet of mass 0.1 kg moving horizontally with speed 400 m s -1 hits a wooden block of mass 3. 9 kg kept on a horizontal rough surface. The bullet gets embedded into the block and moves 20 m before coming to rest. The coefficient of friction between the block and the surface is_______.

A
0.90
B
0.50
C
0.65
D
0.25

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Verified by Experts
The correct answer is:
D

Let the mass of the bullet be m and mass of the block be M. It is given that V = 400 m s -1 . By conservation of momentum,

mV = (m + M)v

0.1 x 400 = (0.1 + 3.9)v

v = 10 ms -1 The force acting on the block

Using v'

2 - v 2 = -2aS

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