Question

F=k*x^n where F is the force and x is the displacement find the value of n for the power done by the Force is independent of x?

Answer 1

@electrokid @Vincent-Lyon.Fr

Answer 2

P = F.V

P = F. dx/dt ryt?

Answer 3

right,
so, you have \[P\propto\int F\mathrm{d}x\]

Answer 4

so, I believe, when\[n=-1\], the power becomes independent of displacement!

Answer 5

But \(\int F\mathrm{d}x\) is work done, not power.
I do not understand what the problem is about.

Answer 6

We need to find the value of n for which power by Force is independent of x

Answer 7

x= displacement

Answer 8

@Coolsector

Answer 9

\[P=Fv=kx^nv\]
\[\frac{\partial P}{\partial x}=0\]
\[knx^{n-1}v=0\]
\[n=0\]
\[\ddot\smile\]