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problem: You and your friend peter are putting the new shingles on a roof pitched at 25 degrees. You are sitting on the very top of roof when peter, who is at the edge of the roof directly below you, 5.1 m away, asks you for the box of nails. Instead of carry the 2.5 kg box of nails down to peter, you decide to provide the box a push and have it slide down to him.

When the coefficient of kinetic friction between the box and the roof is 0.55, with what speed should you push the box to have it quietly come to rest right at the edge of roof?

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