In the distribution center of a shipping company, an open cart of 50.0 kg is rolling to the left with a speed of 5.00 m / s. the friction between the cart and the floor is negligible. A package of 15.0 kg goes down sliding down a ramp inclined 37.0 degrees above the horizontal and comes out projected with a speed of 3.00 m / s. The package falls into the cart and they keep moving forward together. If the lower end of the ramp is at a height of 4.00 m above the bottom of the cart, a) how fast will the package be immediately before falling into the cart? b) how fast will the cart be?

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