Question

Vijay and Gopal are pulling a block with 22 N force and 10 N force respectively in opposite directions. If Vijay pulls the block by a total distance of 6.5 m towards himself, find the net work done by the forces acting on the block.

• A. $12J$
• B. $90J$
• C. $85J$
• D. $78J$

Answer 1

The correct option is D

$78J$

The force applied by Vijay be $F_1$= 22 N

The force applied by Gopal be $F_2$= 10 N

Since the forces are acting in opposite directions, the net force will be acting in the direction of the larger force.

Net Force on the block= $F_1$ - $F_2$
$F=22-10=12N$

Displacement of the block in the direction of Vijay $s=6.5m$ (Given)

Work done $=F\times s=12\times 6.5=78J$.