A) 31250 N
B) 41250 N
C) 31750 N
D) 30450 N
Correct Answer: A
Solution :
Kinetic energy is the energy due to velocity of bullet which is utilized in doing work in penetrating the bullet in the block. Therefore \[\frac{1}{2}m{{v}^{2}}=Fs\] where m is mass, v is velocity, F is force, 5 the displacement \[\therefore \] \[F=\frac{m{{v}^{2}}}{2\,s}\] Given, \[m=30\,g=30\times {{10}^{-3}}kg\], v = 500 m/s, \[s=12\,cm=12\times {{10}^{-2}}m\] \[\therefore \] \[F=\frac{30\times {{10}^{-3}}\times {{(500)}^{2}}}{2\times 12\times {{10}^{-2}}}\] = 31250 N
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