STANDARD VIEW PRINTER VERSION BACK NE Chapter 07, Problem 22 A 38.0-kg boy, ridi

Question

STANDARD VIEW PRINTER VERSION BACK NE Chapter 07, Problem 22 A 38.0-kg boy, riding a 2.80-kg skateboard at a velocity of 5.30 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, 7.20° 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. Vrl V12 nmt2082462 N10065

Explanation / Answer

the horizontal component of the system’s linear momentum remains
constant while the boy pushes off from the skateboard

m1 v0 + m2 v0 = m1 vf1x + m2 vf2x

m2 vf2x= m1 v0 + m2 v0-m1 vf1x

vf2x = m1 ( vo - vf1x) + m2 v0/ m2

vf2x = m1 ( vo - vf1x)/ m2 + vo

= 38 ( 5.3 - 6cos 7.2)/2.8 + 5.3

=-3.55 m/s

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