A bullet of mass 50 g is moving with a velocity of 500 m/s^-1. It penetrates 10 cm into a still target and comes to rest. Calculate: (a) the kinetic energy possessed by the bullet, and (b) the average retarding force offered by the target

Given

Mass of bullet = 50 g

= 0.05 kg

Velocity = 500 m/s

Distance penetrated by the bullet = 10 cm

= 0.1 m

(a) The kinetic energy of the bullet = 1/2 x mass x (velocity)2

= 1/2 x 0.05 x (500)2

= 1/2 x 0.05 x 500 x 500

On calculating further, we get,

= 6250 J

(b) Work done by the bullet against the material of the target = resistance force x distance

6250 = resistance force x 0.1 m

Resistance force = 6250/0.1

Resistance force = 62500 N

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