Question

A construction worker uses a pulley and a rope to raise an 85 kg person to a height of 2 m in 6 s. How much power is he supplying?

Answer 1

`\bold{ANSWER:}`
280.67 watts of power


`\bold{SOLUTION:}`

To determine the power supplied by the construction worker, we need to use the
formula:

Power = Work / Time

First, let's calculate the work done. The work done is given by:

Work = Force x Distance

The force applied can be determined using Newton's second law:

Force = Mass x Acceleration

Since the person is being raised vertically, the acceleration is equal to the acceleration due to gravity, which is approximately 9.8 m/s2. Therefore:

Force = Mass x Acceleration = 85 kg x 9.8 m/s2

Next, we calculate the distance traveled, which is given as 2 m.

Now, we can determine the work done:
Work = Force x Distance = (85 kg × 9.8 m/s2) × 2 m

Finally, we can calculate the power supplied by the construction worker:

Power = Work / Time = (85 kg x 9.8 m/s2 x 2 m) / 6 s

Now, let's calculate the power:
Power = (85 kg x 9.8 m/s2 x 2 m)/6 s
Power = 280.67 Watts

Therefore, the construction worker is supplying approximately 280.67 Watts of power.