The drawing shows two boxes resting on frictionless ramps. One box is relatively

Question

The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a steep ramp. The other box is heavier and rests on a ramp that is less steep. The boxes are released from rest at A and allowed to slide down the ramps. The two boxes have masses of 13 and 33 kg. If A and B are hA = 5.0 and hB = 1.8 m, respectively, above the ground, determine the speed of (a) the lighter box and (b) the heavier box when each reaches B. (c) What is the ratio of the kinetic energy of the heavier box to that of the lighter box at B?

Explanation / Answer

You havent provided the diagram ..

any way I am giving an answer from what I understood

both are at same height

so both will have same velocity at B

V = sqrt(2*gh) = sqrt(2*9.81*(5-1.8))= 7.924 m/s

Velocity of lighter box = 7.924

Velocity of heavier box = 7.924

KE2/KE1 = 33/13 = 2.54

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