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
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.