A 90 kg mover climbs a ladder to a height of 8 m in 32 s. Find the power ratingof 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?
To find the power rating of the mover, you need to use the formula P = W/t, where P represents power, W represents work done, and t represents time.
In this case, the work done is equal to the change in potential energy, which can be calculated using the formula W = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height.
Given:
Mass (m) = 90 kg
Height (h) = 8 m
Time (t) = 32 s
Now, let's calculate the work done:
W = mgh
W = 90 kg * 9.8 m/s² * 8 m
W = 70560 J
Next, we can substitute the values into the power formula:
P = W/t
P = 70560 J / 32 s
P ≈ 2205 watts
So, your initial calculation of 220.5 watts is incorrect. The correct power rating of the mover is approximately 2205 watts.