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Physics C: Mech · FRQ Trainer

Free-response 1 of 17 · Work, Energy, and Power

6 pts our rubric

The real Physics C: Mech Section II is 4 free-response questions in 95 minutes, 50% of your score. Four questions — mathematical routines, translation between representations, experimental design and analysis, and qualitative/quantitative translation. Point totals vary by form; the 2025 exam ran 10 / 12 / 10 / 8 for 40 raw points. This prompt is ours, written to the same skills — score it against the rubric below, not against that structure.

Prompt

A block of mass m is released from rest at the top of a curved, frictionless ramp of height h. At the bottom, it enters a rough horizontal surface with a position-dependent coefficient of kinetic friction μ_k(x) = cx, where c is a positive constant and x is the distance along the rough surface.

aDerive an expression for the speed of the block at the bottom of the ramp.2 pts

bSet up, but do not evaluate, an integral expression to find the total distance D the block travels on the rough surface before coming to rest.2 pts

cDetermine D in terms of m, g, h, and c.2 pts

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