Impulse: something that changes the momentum of an object. Force•time=mass•change in momentum
Work: when a force moves an object (causes displacement). Work= force•distance
From the equations above, it can be mathematically calculated that:
distance (mass•change in momentum)=work•time
The relationship between these two objects is that in order for an object to have a change in momentum, it must have work done to it.
The force exerted on the cart is equal to the mass• acceleration.