Question

Vijay is pulling a block with $22N$ force and Gopal is pulling it with $10N$ force in the opposite direction. The block moves a distance of $6.5m$ in the same direction in which Vijay is pulling it. Calculate work done on the block.

• A. 80 J
• B. - 80 J
• C. - 78 J
• D. 78 J

Answer 1

The correct option is D 78 J

Given:
Force applied by Vijay, $F_1=22N$
Force applied by Gopal, $F_2=10N$.
Displacement, $s=6.5m$

Since, both the forces are acting in the opposite directions, net force is given by:
$F=F_1-F_2$
$F=22-10=12N$

The work done on the block is given by the product of displacement and the net force applied on it. Hence it is given by:
$W=F\times s$
$W=12\times 6.5=78J$