A kg block slides from rest down a frictionless slope of vertical height m onto a rough horizontal surface with . Taking , how far does it slide on the rough surface before stopping?
Answer and explanation
Correct answer: B. m
- Step 1: Energy at the bottom of the slope: J.
- Step 2: Friction force on the rough floor: N.
- Step 3: Work by friction equals the kinetic energy: , so m. The mass cancels, since .
Answer
m.
Why not the others: the other distances come from changing the friction force or energy by a wrong factor; the mass does not affect the result.
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