Two masses and are connected by a light string over a smooth pulley

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Two masses

5\,\text{kg}

and

m\,\text{kg}

are connected by a light string over a smooth pulley. When released, the system accelerates at

0.80\,\text{m}\,\text{s}^{-2}

, the

5\,\text{kg}

mass moving downward. Calculate the value of

m

. Take

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