Power is defined as the rate at which work is done or energy is transferred. In this case, the power developed is the rate at which the force of friction is doing work on the box to maintain its speed.
The work done by the force of friction can be calculated using the formula:
Work = force x distance
Work = 1200N x distance
However, since the box is moving at a constant speed, the work done by the force of friction is equal to the power developed. Therefore, the power developed can be calculated as follows:
Power = Work ÷ time
To calculate the time taken by the box to travel a certain distance, we can use the formula:
Distance = speed x time
time = distance ÷ speed
Since the box is moving at a constant speed, we can use this formula to calculate the distance traveled by the box in one second.
Distance = speed x time
Distance = 12m/s x 1s
Distance = 12 meters
Now we can calculate the time taken by the box to travel this distance:
time = 12 meters ÷ 12m/s
time = 1 second
Now we can calculate the power developed:
Power = Work ÷ time
Power = 1200N x 12 meters ÷ 1 second
Power = 14400 watts
Therefore, the power developed to drag the box along the ground at a speed of 12m/s against a frictional force of 1200N is 14400 watts.
A box of mass 500kg is dragged along a level ground at a speed of 12m/s. If the force of friction between the box and floor is 1200N. Calculate the power developed
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