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A box is sliding down a spherical hill. The hill radius is R=1 km. The ball...


A box is sliding down a spherical hill. The hill radius is R=1 km. The ball starts with zero initial velocity. There is friction between the box and the hill surface

The box slips off the hill when the line connecting center of the Hill to its position is at angle θ=10 degrees. What is the speed of the box at this point right before it detaches from Hill?

How much energy is lost due to friction while the box was moving down the hill until it takes off the hill?

With what speed will the box hit the ground?

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