A bullet of mass 50 gram is moving with a velocity of 500mper second. It penetrates 10 cm into a still target and comes to rest. Calculate (a) the kinetic energy possessed by the bullet and (b) the retarding force offered by the target.
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(A) Velocity of bullet = 500 m/s
Hence, K .E = 1/2 mv2= 1/2 x 0.05 x (500)2= 6250 J
(B)Mass of the bullet, m = 50 g = 0.05 kg
Initial velocity, u = 500 m/s
Distance travelled before stopping, s = 10 cm = 0.1 m
Using, v2 = u2 + 2as
= > 0 = 5002 + 2a(0.1)
= > a = -1.25 × 106 m/s2
Thus, the force is = ma = -6.25 × 104 N
The negative sign indicates the direction of force and acceleration are opposite to the direction of motion of thw bullet.
Hence, K .E = 1/2 mv2= 1/2 x 0.05 x (500)2= 6250 J
(B)Mass of the bullet, m = 50 g = 0.05 kg
Initial velocity, u = 500 m/s
Distance travelled before stopping, s = 10 cm = 0.1 m
Using, v2 = u2 + 2as
= > 0 = 5002 + 2a(0.1)
= > a = -1.25 × 106 m/s2
Thus, the force is = ma = -6.25 × 104 N
The negative sign indicates the direction of force and acceleration are opposite to the direction of motion of thw bullet.
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