Physics

Physics

Problem

Two identical blocks slide from rest down two different rough ramps, X and Y, that start at the same vertical height hh above a horizontal floor. Ramp X is steeper and therefore shorter, while ramp Y is twice as long but less steep. Both ramps have the same coefficient of kinetic friction μk\mu_k. Which statement correctly compares the speeds of the blocks, vXv_X and vYv_Y, as they leave the bottoms of their respective ramps? a) vX=vYv_X = v_Y because each block loses the same amount of mechanical energy, which depends only on the vertical height hh b) vX<vYv_X < v_Y because the steeper ramp produces a larger normal force and therefore a larger kinetic friction force c) vX>vYv_X > v_Y because the block on the longer ramp loses more mechanical energy to friction d) vX>vYv_X > v_Y because the component of gravity parallel to the ramp is larger on ramp X for the entire descent

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