A stonemason lifts boulder weighing 80 neutrons from the ground onto 1.50 meter wall in 2.0 seconds. what power does he develop, in watts and kilowatts

Answer 1

To calculate the power developed by the stonemason, we need to use the formula:

Power = Work / Time

First, let's determine the work done by the stonemason to lift the boulder. The work formula is:

Work = Force * Distance

The force required to lift the boulder is its weight, which can be calculated using the equation:

Weight = Mass * Acceleration due to gravity

Given that the weight of the boulder is 80 neutrons, we need to convert this to kilograms:

1 neutron ≈ 1.67 x 10^-27 kg
80 neutrons = 80 * 1.67 x 10^-27 kg = 1.336 x 10^-25 kg (approx.)

Now, we can calculate the weight of the boulder:

Weight = Mass * Acceleration due to gravity
Weight = 1.336 x 10^-25 kg * 9.8 m/s^2 ≈ 1.31 x 10^-24 N (approx.)

Next, we can calculate the work done by the stonemason. Since the distance is given as 1.50 meters, we have:

Work = Force * Distance
Work = 1.31 x 10^-24 N * 1.50 m ≈ 1.96 x 10^-24 J (approx.)

Finally, we can calculate the power using the formula:

Power = Work / Time
Power = 1.96 x 10^-24 J / 2.0 s = 9.8 x 10^-25 W

So, the power developed by the stonemason is approximately 9.8 x 10^-25 watts.

To convert this to kilowatts, we divide by 1000:

Power = 9.8 x 10^-25 W / 1000 = 9.8 x 10^-28 kW (approx.)

Therefore, the power developed by the stonemason is approximately 9.8 x 10^-28 kilowatts.