First slide

Work done by Diff type of forces

Question

In the figure shown initially spring is in unstretched state and blocks are at rest. Now 100 N force is applied on block A arrd B as shown in figure. After some time velocity of 'A' becomes 2 m/s and that of ' B' 4 m/s and block A displaced by amount 10 cm and spring is stretched by amount 30 crn. Then work done by spring force on A will be:

Moderate

A

$\frac{9}{3} J$
B

-6 J
C

6 J
D

None of these

Solution

$W_{spring} + W_{100 N} = Δk (on A)$
$\begin{aligned} W_{spring} + (100) (\frac{10}{100}) = \frac{1}{2} (2) (2)^{2} \\ W_{spring} = 4 - 10 = - 6 J \end{aligned}$

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