A $0\mathrm{.}56kg$ baseball has a momentum of $p=11kg\frac{m}{s}$ as it is pitched toward home plate. A $4\mathrm{.}4kg$ bat swings at the baseball with a momentum of $45kg\frac{m}{s}$ and is in contact with the ball for $0\mathrm{.}05s.$ Assume the batter doesn't follow through like they should but instead the bat is at rest immediately after being in contact with the baseball $($like bunting it$).$ 

 

What is the magnitude of the velocity of the baseball just before coming in contact with the bat?

What is the magnitude of the velocity of the baseball immediately after being struck by the bat?

What is the magnitude of the impulse on the ball?

  

How much force was on the baseball when the bat was striking it$?$

  

How much work was done on the baseball by the bat?