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A sled of mass m is given a kick on a frozen pond. The kick imparts...

A sled of mass m is given a kick on a frozen pond. The kick imparts to it an initial speed of 2.40 m/s. The coefficient of kinetic friction between sled and ice is 0.135. Use energy considerations to find the distance the sled moves before it stops.
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Answer #1

m = mass of sled

w = weight of sled = mg

Fn = normal force on the sled = w = mg          since normal force balances the weight of sled

frictional force is given as

f = \muk Fn =\muk mg

Vi = initial speed = 2.40 m/s

Vf = final speed = 0 m/s

d = distance travel;led before stopping

using the work-kinetic energy theorem

- f d = (0.5) m (Vf2 - Vi2)

- \muk mgd = (0.5) m (02 - 2.402 )

- (0.135) (9.8) d = -2.88

d = 2.18 m

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