Question

a sprinter runs the 100m dash in 10.2s if he did 2500j of work how much power did the sprinter produce

Answer 1

`P=245.098\ W`

Conceptual:

What is work?

To put it simply, work is the transfer of energy over a displacement.

`\boxed{\left\begin{array}{ccc}\text{\underline{Basic Formula for Work:}}\\\\W=F \Delta \vec r\cos \theta\end{array}\right}`

What is power?

Power is simply how much work is being done per unit of time.

`\boxed{\left\begin{array}{ccc}\text{\underline{Formula for Power:}}\\\\P=(W)/(t) \end{array}\right}`

Step-by-step explanation:

Given:

`W=2500 \ J\\\\t=10.2 \ s`

Plug the values into the formula for work.

`P=(W)/(t)\\ \\\Longrightarrow P=(2500)/(10.2) \\\\\therefore \boxed{\boxed{P=245.098\ W }}`