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Question

# A trolley runs from point P to Q along a track, as shown in the figure. At point Q, its potential energy is 50 kJ less than at point P. At point P, the trolley has kinetic energy 5 kJ. Between P and Q, the work done against friction is 10 kJ. What is the kinetic energy at point Q?

A
35 kJ
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B
45 kJ
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C
55 kJ
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D
65 kJ
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Solution

## The correct option is B 45 kJLet gravitational PE at Q be 0. Use conservation of energy: (GPE + KE) at Q + Work done against friction = (GPE + KE) at P 0 + KE at Q + 10k = 50k + 5k So, KE at Q = 45 kJ

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