Question

A 700 N mountain climber scales a 200 m cliff. How much work is done by the mountain climber?

0.29 J
3.5 J
3,500 J
140,000 J

Answer 1

The work done by the mountain climber can be calculated using the formula:

Work = Force x Distance x cos(theta)

where Force is the force applied, Distance is the distance moved, and theta is the angle between the force and the direction of movement.

In this case, the force applied by the climber is their weight, which is 700 N. The distance moved is the height of the cliff, which is 200 m. The angle between the force and the direction of movement is 0 degrees, since the force is applied in the same direction as the movement.

Using the formula, we get:

Work = 700 N x 200 m x cos(0)

Work = 140,000 J

Therefore, the work done by the mountain climber is 140,000 J. So the correct option is (D) 140,000 J.

Answer 2

To calculate the work done by the mountain climber, we can use the formula:

work = force x distance x cos(theta)

where force is the force applied (in Newtons), distance is the distance moved (in meters), and theta is the angle between the force vector and the direction of motion.

In this case, the mountain climber exerts a force of 700 N and moves a distance of 200 m vertically upwards (against the force of gravity). The angle between the force vector and the direction of motion is 0 degrees, since the force is applied directly upward and the motion is also upward.

So, using the formula:

work = 700 N x 200 m x cos(0)

work = 140,000 J

Therefore, the work done by the mountain climber is 140,000 J.