Question

Find the work done in winding up a 300-ft cable that weighs 4 lb/ft.

a) 600 ft-lb
b) 900 ft-lb
c) 1200 ft-lb
d) None of the above

Answer 1

To find the work done in winding up the cable, multiply the length of the cable by its weight per unit length. The work done is equal to the weight of the cable multiplied by the length of the cable. The correct answer is c) 1200 ft-lb.

Step-by-step explanation:

To find the work done in winding up the cable, we need to calculate the weight of the cable first. The weight of the cable can be found by multiplying the cable's length by its weight per unit length:

Weight of the cable = Length of the cable * Weight per unit length = 300 ft * 4 lb/ft = 1200 lb

The work done in winding up the cable can be calculated using the formula:

Work = Force * Distance

In this case, the force is equal to the weight of the cable and the distance is the length of the cable. Plugging in the values, we get:

Work = 1200 lb * 300 ft = 360,000 ft-lb

Therefore, the work done in winding up the cable is 360,000 ft-lb. The correct option is c) 1200 ft-lb.