A 60 kg man running at an initial speed of 4 m/s jumps onto a 120 kg cart initially at rest. He slides on the cart's top surface and finally comes to rest relative to the cart. The coefficient of kinetic friction between the man and the cart is 0.4. Friction between the cart and the ground can be neglected.
i) Find the final speed of the man and cart relative to the ground.
ii) Find the frictional force acting on the man while he is sliding across the top surface of the cart.
iii) How long does the frictional force act on him?
iv) Find the change in momentum of the man and the change in momentum of the cart.
v) Determine the displacement of the man relative to the ground while he is sliding on the cart.
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