Pre$-$lab

A $500.$ g cart containing a $55\mathrm{.}0$ gram egg starts from rest and traverses a distance of one meter along a ramp inclined at an angle of $=30\mathrm{.}0$ deg. The cart crashes into a barrier and comes to stop. Assume friction and drag forces are negligible.

a$.$ What is the acceleration of the cart as it traverses down the ramp? $($Hint: Draw a force diagram$)$

b$.$ What is the change in the momentum of the cart at the bottom?

c$.$ If $25\mathrm{.}0N$ of force is required to break your egg, what is the minimum time needed for the impulse to act in order to save your egg? $($Use Impulse$-$Momentum Theorem$)$