A student is watching their hockey puck slide up and down an incline. They give the puck a quick push along a frictionless table, and it slides up a $ 30^\circ $ rough incline ($ \mu_k = 0.4 $) of distance $ d $, with an initial speed of $ 5 $ $ \text{m/s} $, and then it slides back down.

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A student is watching their hockey puck slide up and down an incline. They give the puck a quick push along a frictionless table, and it slides up a $ 30^\circ $ rough incline ($ \mu_k = 0.4 $) of distance $ d $, with an initial speed of $ 5 $ $ \text{m/s} $, and then it slides back down.(a) Does it take longer to move up the distance $ d $ or back down the distance $ d $? Or does it take the same amount of time? Explain briefly.
, (b) Bonus Challenge: Repeat the problem but assume you are not given the initial speed, angle of incline, or $ \mu_k $.
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Jason · Accepted Answer

It takes less time to slide up. This is because there is a greater net force on the way up (gravity and friction work together to slow the block down quicker).

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