In a shipping company distribution center, an open cart of mass 49.0 kg is rolling to the left at a speed of 4.60 m/s (Figure 1). You can ignore friction between the cart and the floor. A 17.0 kg package slides down a chute that is inclined at 37? from the horizontal and leaves the end of the chute with a speed of 2.60 m/s. The package lands in the cart and they roll off together.

A) If the lower end of the chute is a vertical distance of 4.00 m above the bottom of the cart, what is the speed of the package just before it lands in the cart?

B) What is the final speed of the cart?

370 4.00 m