Two blocks, A and B

PHYSICS · Multi-part · GCSE · Physics · Energy · Energy

Problem

Two blocks, A and B, have masses

m_{1}

and

m_{2}

respectively. They are to be raised so that both acquire the same gravitational potential energy relative to a common ground level. Answer the following: (a) Derive an expression for the height

h_{2}

to which block B of mass

m_{2}

must be raised if block A of mass

m_{1}

is raised to a height

h_{1}

and both blocks are to possess equal potential energy. (b) Using your result from part (a), determine the numerical value of

h_{2}

when

m_{1}=4\,\text{kg}

h_{1}=5\,\text{m}

, and

m_{2}=6\,\text{kg}

on a planet where

g'=15\,\text{m\,s}^{-2}

. (c) Suppose block B is first raised to the height found in part (b) and is then slowly lowered to height

2.0\,\text{m}

above the ground. Calculate the change in its mechanical energy during this lowering process.

Related theory

Mechanical Energy
Potential Energy
Work and Energy
Gravitational potential energy

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