A bullet of mass 0.02 𝑘𝑔 travelling horizontally with velocity 250 𝑚𝑠 −1 strikes a block of wood of mass 0.23 𝑘𝑔 which rests on a rough horizontal surface. After the impact, the block and bullet move together and come to rest after travelling a distance of 40𝑚. The coefficient of sliding friction of the rough surface is ( 𝑔 = 9.8 𝑚𝑠 −2 )

Question: A bullet of mass 0.02 𝑘𝑔 travelling horizontally with velocity 250 𝑚𝑠 −1 strikes a block of wood of mass 0.23 𝑘𝑔 which rests on a rough horizontal surface. After the impact, the block and bullet move together and come to rest after travelling a distance of 40𝑚. The coefficient of sliding friction of the rough surface is ( 𝑔 = 9.8 𝑚𝑠 −2 )

(A) 0.75

(B) 0.61

(C) 0.51

(D) 0.30

Answer: Option (C)

Solution:

A bullet of mass 0.02 𝑘𝑔 travelling horizontally with velocity 250 𝑚𝑠 −1 strikes a block of wood of mass 0.23 𝑘𝑔 which rests on a rough horizontal surface. After the impact, the block and bullet move together and come to rest after travelling a distance of 40𝑚. The coefficient of sliding friction of the rough surface is ( 𝑔 = 9.8 𝑚𝑠 −2 )
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