First slide

Work

Question

A light inextensible string goes over a smooth fixed pulley as shown in the figure connects two blocks of masses 0.36kg and 0.72 kg. Taking $g = 10 m s^{- 2}$ , find the work done by string on the block of mass 0.36 kg during 1st second after the system is released from rest _____J

Moderate

Solution

$\begin{array}{l} T = \frac{2 m_{1} m_{2} g}{m_{1} + m_{2}}; a = \frac{(m_{2} - m_{1}) g}{m_{1} + m_{2}} & s = \frac{1}{2} a t^{2} \\ W = T . S \\ = \frac{2 \times 0.36 \times 0.72 \times 10}{1.08} \times \frac{1}{2} \times \frac{0.72 - 0.36}{(0.72 + 0.36)} \times 10 \times 1^{2} \\ = 4.8 \times \frac{1}{2} \times \frac{0.36}{1.08} \times 10 \\ = 8 J \end{array}$

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