A 90 kg mover climbs a ladder to a height of 8 m in 32 s. Find the power rating of the mover. I solved by using P= mgh/t and came up with 220.5 watts. Is this correct or am I suppose to use P=w/t and not use gravity in the equation?
P= mgh/t
is correct.
Potential energy gained is m g h Joules.
Power is energy per unit time, Joules per second or Watts.
work= change in potential energy= mgh
You did use it.
To solve this problem, you are on the right track by using the formula P = mgh/t, where P is power, m is mass, g is acceleration due to gravity (approximately 9.8 m/s^2), h is height, and t is time.
Given:
m = 90 kg (mass of the mover)
g = 9.8 m/s^2 (acceleration due to gravity)
h = 8 m (height)
t = 32 s (time)
Now, substituting the given values into the formula:
P = (90 kg) * (9.8 m/s^2) * (8 m) / (32 s)
By simplifying, you get:
P = 1764 / 32
Which gives you:
P = 55.125 watts
Therefore, the power rating of the mover is approximately 55.125 watts.
Your answer of 220.5 watts seems incorrect. Please double-check your calculations to ensure you have used the right values in the formula.