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 starts up a $30^\circ$ rough incline ($\mu_k = 0.4$) with a speed of $5\,\text{m/s}$, slides a distance $d$ up the incline before stopping, and then slides back down. Use $g = 9.8\,\text{m/s}^2$.

Question

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 starts up a $30^\circ$ rough incline ($\mu_k = 0.4$) with a speed of $5\,\text{m/s}$, slides a distance $d$ up the incline before stopping, and then slides back down. Use $g = 9.8\,\text{m/s}^2$.(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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