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In this lesson, we will learn how to calculate the power required for a force to do an amount of work on an object in an amount of time.
Q1:
A train engine does work at a rate of 5 0 0 0 W. How much time will this engine take to do 125 J of work?
Q2:
A construction worker has to push a heavy, loaded waste container to a disposal area. This task tires the worker out and he pauses several times to rest. The distance that the container is moved in each 10-second time interval is shown in the table. Whenever the worker pushes the container, an average force of 80 N is used to push it. What is the average power supplied by the worker over the ten time intervals?
Q3:
The work done by a force over a 10-second time interval is shown in the graph.
What instantaneous power does the force supply at π‘ = 3 s?
What instantaneous power does the force supply at π‘ = 6 s?
What average power does the force supply between π‘ = 7 s and π‘ = 9 s?
Q4:
A horse pulls a cart for 50 seconds. The work done by the force applied by the horse during this time is 37β500 J. What is the power supplied by the horse?
Q5:
A rocket moves vertically upward at a constant speed of 18 m/s. The weight of the rocket is 250 kN. What is the power supplied by the rocketβs engines? Give your answer in megawatts.
Q6:
A power of 140 W is supplied to do work for a time of 2.5 seconds. How much work is done?
Q7:
360 W of power is supplied to do 270 J of work. How much time is taken to do this amount of work?
Q8:
How much work is done in 600 seconds by the force from a car engine that has a power of 1 2 5 0 W?
Q9:
The power supplied by a force over a 10-second time interval is shown in the graph.
How much work does the force do from π‘ = 0 s to π‘ = 2 s?
How much work does the force do from π‘ = 3 s to π‘ = 5 s?
How much work does the force do from π‘ = 2 s to π‘ = 3 s?
How much work does the force do from π‘ = 5 s to π‘ = 9 s?
Q10:
Suppose that 260 J of work is done in 40 seconds. What power is required to do this amount of work?
Q11:
Which of the following formulas correctly shows the relationship between the time taken to do an amount of work and the power supplied to do the work?
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