Question

Person $A$ stands on the right side of a cart, while Person $B$ stands on the left side. The cart is initially at rest. Person $A$ pushes on the cart with a force of $22.0N$, and Person $B$ pushes on the cart with a force of $33.0N$.
The cart, with no other forces acting on it, starts to move and rolls through a distance of $2.0m$ while both people continue to push with their respective forces.
How much work was done on the cart by Person $B$?

• A. $-44.0J$
• B. $+22.0J$
• C. $+44.0J$
• D. $+66.0J$
• E. None of the above

Answer 1

The correct option is D $+66.0J$

Force exerted by person B $F_B=33.0$ N

Displacement of the box in the direction of $F_B$ $S=2.0$ m

$\therefore$ Work done by person B $W_B=F_B\times S=33.0\times 2.0=+66.0$ J