The cable of a large crane applies a force of 2.2x10^4 N to a demolition ball as it lifts the ball vertically upward a distance of 7.6 m
a. How much work does this force do on the ball?
b. Is the work positive or negative?
To calculate the work done by a force, you need to multiply the force applied by the distance over which the force is applied. In this case, the force applied by the cable of the crane is 2.2x10^4 N, and the distance over which the force is applied is 7.6 m.
a. To calculate the work done by the force, you can use the formula:
Work = Force x Distance
Substituting the given values:
Work = (2.2x10^4 N) x (7.6 m)
Work = 1.672x10^5 N·m or Joules (J)
b. The work done by a force can be either positive or negative depending on the direction of the force and the displacement.
In this case, the force is lifting the ball vertically upward, which means it is acting in the same direction as the displacement. When the force and the displacement are in the same direction, the work done is considered positive. Therefore, the work done in this situation is positive.