Question

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

Answer 1

Answer:

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.

$P=W/t$

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:

$P = 950/5\\P = 190 [W]$

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

$P=950/2\\P=475 [W]$