Show all work please so i can learn easy! Eighty foot$-$pounds of work is required to stretch a spring $\frac{1}{3}$ foot past its natural length. How much work is required to stretch the spring a foot past its natural length? $(6$ pts$.)$

Suppose that a cable that weighs $3l\frac{b}{f}t$ is used to lift $600$ lb of coal up a mine shaft $250$ feet deep. Find the total work done in moving the coal and cable to the top of the shaft.

$(7$ pts$.)$