Two identical carts A and B start from rest on smooth tracks of different heights

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Two identical carts A and B start from rest on smooth tracks of different heights. Cart A descends through a vertical height of 1.5 m, while cart B descends through 3.0 m. Take g=10 m/s2g = 10\,\text{m/s}^2. (i) Find the ratio of their speeds at the bottom of their respective tracks (vA:vBv_A : v_B). (ii) Give one reason for your answer based on energy considerations.

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