Chapter 07, Problem 22 A 37.0-kg boy, riding a 1.60-kg skateboard at a velocity

Question

Chapter 07, Problem 22 A 37.0-kg boy, riding a 1.60-kg skateboard at a velocity of 5.10 m/s across a level sidewalk, jumps forward to leap over a wall. Just after leaving contact with the board, the boy's velocity relative to the sidewalk is 6.00 m/s, 8.80 above the horizontal. Ignore any friction between the skateboard and the sidewalk. What is the skateboard's velocity relative to the sidewalk at this instant? Be sure to include the correct algebraic sign with your answer V12 Vo Number Units the tolerance is +/-2%

Explanation / Answer

By Conservation of momentum

m1V1,ox+m2V1,ox=m1V1,fx+m2V2,fx

37*5.1+1.6*5.1=37*(6cos8.8)+1.6V2,fx

V2,fx=-14.08 m/s

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