Can someone explain how to do this please?
A person who has a mass of 60kg run up a flight of stairs 12m high in 20 seconds, how much power did the person generate?
How would I do this equation.
*How would I do this equation?
weight = 9.8*60
energy = weight * 12
power = energy / 20
Thanks.
P = F*d/t = M*g * d/t = 60*9.8 * 12/20 = J/s = Watts.
To calculate the power generated by the person, you need to use the formula:
Power (P) = Work (W) / Time (t)
First, you'll need to find the work done by the person, which can be calculated using the formula:
Work (W) = Force (F) × Distance (d)
In this case, the force can be calculated using the formula:
Force (F) = Mass (m) × Acceleration due to gravity (g),
where the acceleration due to gravity is approximately 9.8 m/s².
So, the force exerted by the person on the stairs is given by:
Force (F) = 60 kg × 9.8 m/s²
Next, you can find the work done by multiplying the force by the distance:
Work (W) = Force (F) × Distance (d) = (60 kg × 9.8 m/s²) × 12 m
Finally, to calculate the power, divide the work done by the time taken:
Power (P) = Work (W) / Time (t) = ((60 kg × 9.8 m/s²) × 12 m) / 20 s
Plugging in the values and performing the calculations will give you the power generated by the person.