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An 8.70-kg block slides with an initial speed of 1.76 m/s up a ramp inclined at

ID: 1624414 • Letter: A

Question

An 8.70-kg block slides with an initial speed of 1.76 m/s up a ramp inclined at an angle of 25.4 with the horizontal. The coefficient of kinetic friction between the block and the ramp is 0.47.

Part A

Use energy conservation to find the distance the block slides before coming to rest.

Express your answer using two significant figures.

__________

d =

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m   Problem 8.83 An 8.70-kg block slides with an initial speed of 1.76 m/s up a ramp inclined at an angle of 25.4 with the horizontal. The coefficient of kinetic friction between the block and the ramp is 0.47 Part A Use energy conservation to find the distance the block slides before coming to rest. Express your answer using two significant figures. d .75 Submit My Answers Give Up incorrect; Try Again: 3 attempts remaining ovide Feedbac Continue

Explanation / Answer

resisting force = mg sin a +umg cos a

= 8.7*9.8*( sin 25.4 + 0.47*cos 25.4)

= 72.77 N

deceleration = 72.77 / 8.7 = 8.36 m/s

v^2 - u^2 = 2*a*S

0 -1.76^2 = 2*(-8.36)*S

S = 0.185 m

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