A 13 g projectile traveling 161 m/spenetrates into a 0.25-kg wad of putty and em

Question

A 13 g projectile traveling 161 m/spenetrates into a 0.25-kg wad of putty and emerges cleanly at37 m/s.
(a) If the putty is stationary on a frictionless surface when hit,how fast does it move after the projectile emerges? b) How much kinetic energy was lost in this process? A 13 g projectile traveling 161 m/spenetrates into a 0.25-kg wad of putty and emerges cleanly at37 m/s.
(a) If the putty is stationary on a frictionless surface when hit,how fast does it move after the projectile emerges? b) How much kinetic energy was lost in this process?

Explanation / Answer

        Given that the mass ofprojectile is m = 0.013 kg         Initial speed is u= 161 m/s         mass of putty is M =0.25 kg         final velocity ofprojectile is v = 37 m/s ------------------------------------------------------------------------ (a) Apply conservation of momentum for the projectile andputty                 m*u1 = M V + m v          V = ( m*u - mv ) / M    = --------- m/s Loss in kinetic energy is K =(1/2)m*u2 - (1/2)MV2 -(1/2)m*v2                                                 = ---------- J

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