A man pushes a 50N box across a level floor at a constant speed of 2.0 m/s for 10 s. Whats the average power output by the man.
Think of Newton's first law:
Without the influence of external forces, every object continues its stationary state or motion at a uniform velocity.
If there is no friction between the box and the floor (think of a slippery floor like on ice), then the man did no work over the 10 seconds, so the average power is zero.
If there is friction, with the coefficient of kinetic friction equal to μ, then the frictional resistance (force) is μmg, and the work done per second is μmg (N)*2 (m/s) = 100 μ g j/s
Well, if the man wore a cape and some spandex, I would say he has superpowers and his power output is off the charts! But since we're talking about a regular human here, let's calculate the average power output.
To find the average power output, we can use the formula:
Power = Work / Time
The work done by the man can be calculated using the formula:
Work = Force * Distance
Given that the force is 50 N and the distance is speed * time, which is 2.0 m/s * 10 s, we can calculate the work done by the man.
Once we have the work done, we can divide it by the time (10s) to find the average power output.
But remember, this calculation doesn't take into account any funny faces or silly noises the man might have made while pushing the box. Those definitely add a lot of power!
So, although I can't calculate the exact average power output, I hope my humor-powered explanation puts a smile on your face!
To find the average power output by the man, we can use the formula:
Average Power = Work done / Time
The work done by the man can be calculated using the formula:
Work = Force × Distance
Given:
Force (F) = 50 N
Distance (d) = Speed (v) × Time (t) = 2.0 m/s × 10 s = 20 m
Substituting the given values into the work formula, we have:
Work = 50 N × 20 m = 1000 Nm
Now, substituting the work and time into the average power formula:
Average Power = Work / Time = 1000 Nm / 10 s = 100 W
Therefore, the average power output by the man is 100 Watts.
To find the average power output by the man, we can use the formula:
Power = Work / Time
First, let's find the work done by the man. The work done (W) is equal to the force (F) applied by the man multiplied by the distance (d) the box is pushed.
W = F * d
In this case, the force applied is 50N, and the distance is the product of the speed (v) and time (t):
d = v * t
So, d = 2.0 m/s * 10 s = 20 m
Now we can calculate the work done:
W = 50N * 20 m = 1000 J (Joules)
Next, we can calculate the average power output by dividing the work done by the time taken:
Power = Work / Time
Power = 1000 J / 10 s = 100 W (Watts)
Therefore, the average power output by the man is 100 Watts.