In a ballistics test, a 21 g bullet traveling horizontally at 1200 m/s goes through a 35-cm-thick 300 kg stationary target and emerges with a speed of 950 m/s . The target is free to slide on a smooth horizontal surface.

Complete Question

In a ballistics test, a 21 g bullet traveling horizontally at 1200 m/s goes through a 35-cm-thick 300 kg stationary target and emerges with a speed of 950 m/s . The target is free to slide on a smooth horizontal surface.

a

How long is the bullet in the target? ____ s

b

What average force does the bullet exert on the target? _____ N

c

What is the target's speed just after the bullet emerges? _____ m/s

a

b

c

Explanation:

From the question we are told that

  The mass of the bullet is  

   The horizontal speed is

   The thickness is  

   The mass of the block is  

   The emerging speed is      

Generally from kinematic equation

So

=>  

=>  

Gnerally the time taken is mathematically represented as

=>  

=>  

Generally from law of momentum conservation we

 is the velocity of the block at rest which is  

=>

=>

Generally the force is mathematically represented as

=>

=>