## Question:

The cart has mass M and rolls freely down the slope. When it reaches the bottom, a spring loaded gun fires a ball of mass  ${ M }_{ 1 }$ out the back with a horizontal velocity  ${ v }_{ bc }$ measured relative to the cart. Determine the final velocity of the cart. Given: M = 3 kg , h = 1.25 m ,  ${ M }_{ 1 }$ = 0.5 kg , g =${ 9.81 m/s }^{ 2 }$ ,  ${ v }_{ bc }$ = 0.6 m/s