A stonemason lifts a small boulder weighing Fw = 80 N from the ground onto a height = 1.50 m wall in the time t = 2.0 s.
Using the values in the problem, calculate how much work she does.
What power does she develop in watts?
What power does she develop in kilowatts?
What power does she develop in horsepower?
work = force * distance in direction of force
= 80 * 1.5 = 120 Joules
power
Hey we know that cold by now
= 120 Joules / 2 seconds = 60 Watts
60 watts * 1 kw/1000 watts = 0.06 kw
0.06 kw * 1.341 hp/kw = 0.08 Hp
I figure with an electric motor you get about 1 hp per kw after allowing for efficiency
work=force(height)
powerWatts= workJoules/timeinSec
powerKwatts=powerwatts/1000
powerHP=powerwatts/746
To find the work done by the stonemason, we can use the formula:
Work = Force * Distance
Given:
Force (Fw) = 80 N
Distance = 1.50 m
Work = 80 N * 1.50 m = 120 J
Therefore, the stonemason does 120 Joules of work.
To find the power developed by the stonemason, we can use the formula:
Power = Work / Time
Given:
Time (t) = 2.0 s
Power = 120 J / 2.0 s = 60 W
Therefore, the stonemason develops 60 Watts of power.
To find the power in kilowatts, we divide the power in watts by 1000:
Power (in kilowatts) = Power (in watts) / 1000
Power (in kilowatts) = 60 W / 1000 = 0.06 kW
Therefore, the stonemason develops 0.06 kilowatts of power.
To find the power in horsepower, we can use the conversion factor:
1 horsepower = 745.7 Watts
Power (in horsepower) = Power (in watts) / (1 horsepower/ 745.7 Watts)
Power (in horsepower) = 60 W / (1 horsepower/ 745.7 Watts)
Power (in horsepower) = 0.0804 horsepower
Therefore, the stonemason develops 0.0804 horsepower of power.
To calculate the work done by the stonemason, we can use the formula:
Work = Force × Distance
Given in the problem, the weight of the boulder is 80 N and the height of the wall is 1.50 m. Therefore, the work done is:
Work = 80 N × 1.50 m = 120 J (joules)
To calculate the power developed by the stonemason, we can use the formula:
Power = Work / Time
Given in the problem, the time taken is 2.0 s. Therefore, the power developed is:
Power = 120 J / 2.0 s = 60 W (watts)
To convert the power from watts to kilowatts, we divide the value by 1000 because 1 kilowatt (kW) is equal to 1000 watts. Therefore:
Power in kilowatts = 60 W / 1000 = 0.06 kW
To convert the power from watts to horsepower, we divide the value by 745.7 because 1 horsepower (hp) is equal to 745.7 watts. Therefore:
Power in horsepower = 60 W / 745.7 ≈ 0.08 hp