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

Answer:

A

Step-by-step explanation:

• First equation is $P=\frac{W}{t}$, 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:

$P=\frac{Fd}{t}$

Cross multiplying the solving for $d$ gives us:

$P=\frac{Fd}{t}\\Pt=Fd\\d=\frac{Pt}{F}$

Choice A is the correct one.

Answer 2

W=Fd

d=F/W  

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

d=F/(Pt)