4. A 3kg cart is moving with a speed of 1.5 m/s on a horizontal airtrack. It makes a collision with a stationary cart of 1 kg in mass. The two carts stick and move together after the collision.

a.    (15 points)
What is the speed of the carts after the collision?


 
 
 

b.    (10 points)
How much mechanical energy is lost during the collision? Is the collision elastic, or inelastic?