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:

this is an example of "committed" time.

committed time, as contracted time, takes need over essential and available time since it is seen as profitable work. it alludes to the time allotted to keep up a home and family. at the point when a man is commuting using committed time this individual may feel that the drive is an obligation to family, for example, strolling youngsters to class or driving a mate to work. contracted and committed time clients may feel that their commute could really compare to the commute of important or leisure time clients on the grounds that their commute is profitable work. in this manner, they might be more disposed to pick a mechanized method of movement.