Three athletes—Ajay, Bina and Charu—run up a staircase that rises vertically by

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

Problem

Three athletes—Ajay, Bina and Charu—run up a staircase that rises vertically by 5 m5\,\text{m}. Their individual masses and times are given below: Ajay: mass 60 kg60\,\text{kg}, time 6 s6\,\text{s} Bina: mass 55 kg55\,\text{kg}, time 5 s5\,\text{s} Charu: mass 70 kg70\,\text{kg}, time 8 s8\,\text{s} Use this data to answer the following. (i) For each athlete, compute the increase in gravitational potential energy during the climb. (ii) Calculate the power developed by each athlete. (iii) Rank the athletes from highest to lowest power output and comment briefly on how both mass and time influenced your ranking.

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