Physics

Physics

Problem

A small box of mass 500 g500\,\text{g} is lifted vertically through 250 cm250\,\text{cm}. If g=10 m s−2g = 10\,\text{m s}^{-2}, what is the increase in its gravitational potential energy? a) 25 J25\,\text{J} b) 1250 J1250\,\text{J} c) 12.5 J12.5\,\text{J} d) 1.25 J1.25\,\text{J}
Intuitive explanation

Gravitational potential energy measures how much energy an object stores by virtue of its position in a gravitational field. The key insight is that the increase in PEPE depends only on the vertical height change and the object's mass—not on how fast it moves or what path it takes. Convert your units carefully, then use ΔPE=mgh\Delta PE = mgh to find the energy gain.

Intuitive explanation

Gravitational potential energy measures how much energy an object stores by virtue of its position in a gravitational field. The key insight is that the increase in PEPE depends only on the vertical height change and the object's mass—not on how fast it moves or what path it takes. Convert your units carefully, then use ΔPE=mgh\Delta PE = mgh to find the energy gain.

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