Respuesta :
There are two ways to solve this problem. First we write the given.
Given: Force F = 400 N; Height h = 0.5 m; Time t = 2 s
Formula: P = W/t; but Work W = Force x distance or W = f x d
Weight is also a Force, therefore: W = mg, solve for Mass m = ?
m = w/g m = 400 N/9.8 m/s² m = 40.82 Kg
P = W/t = F x d/t = mgh/t P = (40.82 Kg)(9.8 m/s²)/2 s
P = 100 J/s or 100 Watts
Given: Force F = 400 N; Height h = 0.5 m; Time t = 2 s
Formula: P = W/t; but Work W = Force x distance or W = f x d
Weight is also a Force, therefore: W = mg, solve for Mass m = ?
m = w/g m = 400 N/9.8 m/s² m = 40.82 Kg
P = W/t = F x d/t = mgh/t P = (40.82 Kg)(9.8 m/s²)/2 s
P = 100 J/s or 100 Watts
The power of the weight lifter is 100 Watts.
Given the following:
- Weight = 400 Newton
- Height = 0.5 meters
- Time = 2 seconds
To find the power of the weight lifter:
First of all, we would determine the work done by the weight lifter by using the formula;
[tex]Work \; done = mgh[/tex]
But, [tex]Weight = mg = 400[/tex]
[tex]Work \; done = 400(0.5)[/tex]
Work done = 200 Joules.
Now, we can find the power of the weight lifter by using the formula:
[tex]Power = \frac{Work \; done}{Time}[/tex]
[tex]Power = \frac{200}{2}[/tex]
Power = 100 Watts.
Therefore, the power of the weight lifter is 100 Watts.
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