A traveller lifts an suitcase from the ground and places it on an overhead rack above…

PHYSICS · Multi-part · AP · Physics C: Mechanics · Work Energy and Power · Work Energy and Power

Problem

A traveller lifts an

8\,\text{kg}

suitcase from the ground and places it on an overhead rack

2.2\,\text{m}

above the ground while waiting at a railway station. (i) Calculate the increase in gravitational potential energy of the suitcase. Take

g = 9.8\,\text{m s}^{-2}

. (ii) Using

g \approx 10\,\text{m s}^{-2}

for quick estimation, determine the height to which the same suitcase must be raised so that its potential energy increases by exactly

2500\,\text{J}