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

Respuesta :

irspow
W=Fd

d=F/W  

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

d=F/(Pt)

Answer:

A


Step-by-step explanation:

  • First equation is [tex]P=\frac{W}{t}[/tex], and
  • Second equation is [tex]W=Fd[/tex]

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

[tex]P=\frac{Fd}{t}[/tex]

Cross multiplying the solving for [tex]d[/tex] gives us:

[tex]P=\frac{Fd}{t}\\Pt=Fd\\d=\frac{Pt}{F}[/tex]


Choice A is the correct one.