A sportsperson of mass runs up a staircase that rises vertically by in .

PHYSICS · Multi-part · CBSE · Physics · Work and Energy · Work and Energy

Problem

A sportsperson of mass 60 kg60\,\text{kg} runs up a staircase that rises vertically by 30 m30\,\text{m} in 25 s25\,\text{s}. (a) Find the gain in gravitational potential energy of the sportsperson at the top of the staircase. (b) Calculate the average power developed by the sportsperson while climbing. (c) The chemical energy from food is converted into mechanical work with an efficiency of 25%25\%. If 11 food calorie =4.2 kJ=4.2\,\text{kJ}, estimate the minimum number of calories the sportsperson must expend to perform this climb.

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