if the amount of work done remains constant but occurs over less time how does this affect the amount of power exerted?

We want to see how maintaining the work constant but reducing the time in which it occurs affects the power. We will see that the power increases.

We define power as the amount of work done per unit of time.

So we can compute power as the quotient between the work done and the time in which it is done.

So, if we reduce the time in which the work is done, then the denominator is smaller, thus, the power will be larger.

This means that maintaining the work constant, and reducing the time in which it is done, increases the amount of power exerted.

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The amount of power will be increased.

Explanation:

If the work remains constant but the time is reduced the power increases. Since power is defined as the relationship between work overtime. By means of the following equation, we can see this relationship.

where:

P = power [Watts]

W = work [J] (units of joules)

t = time [s]

Let's assume with an example the above written.

If we have an electric motor that exerts a work of 950 [J], and the time used is 5 [s], the power is:

Now if we want to accelerate the work done and use 2 seconds for the time, we will have:

what was the answer?