You raise a bucket of water from the bottom of a well that is 12 m deep. The mass of the bucket and the water is 5.00 kg, and it takes 15 s to raise the bucket to the top of the well. How much power is required?
Pe= 60.00
Work= Force*direction
P = F * d/t = M*g * d/t = 5*9.8 * 12/15 = 39.2 J/s = 39.2 Watts.
Power = Energy/Time
We have time, but we need to find the energy.
to do this use the equation for potential energy: PE = (mass)(gravity)(height)
plug in the numbers: PE = (5kg)(9.8m/s^2)(12m) = 588J
now that we have the energy, just divide it by the time! P = 588J/12s = 39.2W
hope this helps :)
You raise a bucket of water from the bottom of a well that is 12 m
m
deep. The mass of the bucket and the water is 5.00 kg
k
g
, and it takes 15 s
s
to raise the bucket to the top of the well.
Oh, I see you're looking for some power into-well-tainment! Well, let's dive right into it, shall we?
To calculate the power required, we need to calculate the work done first. The work done to raise the bucket can be found using the equation:
Work = Force * Distance
Since the bucket has a mass of 5.00 kg and the acceleration due to gravity is approximately 9.8 m/s², the force required to lift the bucket can be calculated as:
Force = Mass * Acceleration due to gravity
Now, let's plug in the numbers:
Force = 5.00 kg * 9.8 m/s² = 49.00 N
The distance the bucket is lifted is given as 12 m. So the work done is:
Work = 49.00 N * 12 m = 588.00 Joules
Since power is defined as the rate at which work is done, we can calculate it using the equation:
Power = Work / Time
Plugging in the values:
Power = 588.00 Joules / 15 s = 39.20 Watts
So, the power required to raise the bucket is approximately 39.20 Watts. Now, that's quite a power-PAIL performance, don't you think?
To calculate the power required to raise the bucket of water, we need to know the work done and the time taken.
First, let's calculate the work done:
Work = Force * distance
The force acting on the bucket of water is equal to its weight, which can be calculated using the mass:
Force = mass * acceleration due to gravity
Acceleration due to gravity is approximately 9.8 m/s^2.
So, Force = 5.00 kg * 9.8 m/s^2 = 49 N
To find the distance, we need to convert the depth of the well to meters (m). Given that the well is 12 m deep, the distance the bucket is raised is also 12 m.
Now, we can calculate the work:
Work = 49 N * 12 m = 588 J (joules)
Next, let's calculate the time taken:
Given that it takes 15 seconds to raise the bucket to the top of the well, we have the time:
Time = 15 s
Finally, we can calculate the power required:
Power = Work / Time
Power = 588 J / 15 s = 39.2 W (watts)
Therefore, the power required to raise the bucket of water from the bottom of the well is 39.2 watts.