Question

The formulas for power and work are P= W/t and W=Fd, where P is the power, W is the work done, t is the time, F is the force, and d is the displacement. Which formula represents the relationship between displacement and power?

A.) d= Pt/F
B.) d= P/Ft
C.) d= PF/t
D.) d= F/Pt

Answer 1

W=Fd

d=F/W

P=W/t so W=Pt using the W in the above gives you:

d=F/(Pt)

Answer 2

A

Explanation:

• First equation is
  `P=(W)/(t)`, and
• Second equation is
  `W=Fd`

Since we want to make
`d` the subject, we put second equation into 1st equation [W of 2nd equation into W of 1st equation]. We have:

`P=(Fd)/(t)`

Cross multiplying the solving for
`d` gives us:

`P=(Fd)/(t)\\Pt=Fd\\d=(Pt)/(F)`

Choice A is the correct one.