Vijay is pulling a block with 22 N force and Gopal is pulling it with 10 N force in opposite direction. Vijay is able to pull the block to a distance of 6.5 m. The net work done is

12 J

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90 J

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85 J

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78 J

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Solution

The correct option is D 78 J
Let force applied by Vijay be $F_{1}$ and force applied by Gopal be $F_{2}$ .
Given, force $F_{1} = 22 N$ , $F_{2} = 10 N$ and displacement $S = 6.5 m$
Since, both the forces are acting in the opposite direction, net force $= 22 - 10 = 12 N$
Net work done,W = Net force $\times$ displacement = 12 $\times$ 6.5 = 78 J .
$∴$ The net work done is 78 J.

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