Question

Hawkeye pulls a quiver attached to his bow back 61 cm by exerting a force that increases uniformly with distance from 0 to 257 N. How much work does Hawkeye do on the string?

Answer 1

The net work done

$$W=F_{ave}d=\frac{F_1+F_2}{2}d$$

$$W=\frac{0+257}{2}\times0.61=78.4\:\rm J$$