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Lesson 5: Power

# Power

Let's explore the meaning of power (rate of doing work) in physics.  Created by David SantoPietro and Mahesh Shenoy.

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## Video transcript

- Check out these weight lifters. The one on the right is lifting his weight faster, but they're both doing the same amount of work. The reason I can say that, is because work is the amount of energy that's transferred. Or, to put it a simpler way, this is the way I like to think about it, work is equal to the energy you give something, or take away from something. Both weightlifters are giving their weights the same amount of gravitational potential energy, they both lift them two meters, and the masses are 100 kilograms each. Plug those into the formula for gravitational potential energy and you find that the work done by each weight lifter is 1960 joules. But, he weight lifter on the right is lifting his weight faster, and there should be a way to distinguish between what he is doing, and what the other slower weight lifter is doing. We can distinguish their actions and physics by talking about power. Power measures the rate at which someone, like weight lifters, or something like an automobile engine, does work. To be specific, power is defined as the work done, divided by the time that it took to do that work. We already said that both weight lifters are doing 1960 joules of work. The weight lifter on the right takes one second to lift his weights, and the weight lifter on the left takes three seconds to lift his weights. If we plug those times into the definition of power, we'll find that the power output of the weight lifter on the right during his lift is 1960 joules per second, and the power output of the weight lifter on the left, during his lift, is 653 joules per second. A joule per second is named a watt, after the Scottish engineer James Watt. And the watt is abbreviated with a capital W. Alright, lets look at another example. Let's say a 1000 kilogram car starts from rest, and takes two seconds to reach a speed of five meters per second. We can find the power output by the engine by taking the work done on the car, divided by the time it took to do that work. To find the work done on the car, we just need to figure out how much energy was given to the car. In this case, the car was given kinetic energy, and it took two seconds to give it that kinetic energy. If we plug in the values for the mass and the speed, we find that the engine had a power output of 6250 watts. So what does Power mean? Power is the rate at which work is done.