You and your friend Peter are putting new shingles on a roof pitched at 22 ° . Y

Question

You and your friend Peter are putting new shingles on a roof pitched at 22 ° . You're sitting on the very top of the 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. Rather than carry the 2.3 kg box of nails down to Peter, you decide to give the box a push and have it slide down to him. Part A If 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 gently come to rest right at the edge of the roof? Express your answer to two significant figures and include the appropriate units. 0? u= 1 Value m/s

Explanation / Answer

Applying conservation of energy

Kinetic energy= workdone due to gravity - feictifric workdone

0- 0.5mv^2= mg sin x * d - u mgd cos x

0- 0.5v^2= 9.8* 5.1*( sin 22 - 0.55* cos 22)

v= 3.678 m/s

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Comment in case any doubt.. good luck

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