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?

Question

anonymous · Answer

@electrokid  @Vincent-Lyon.Fr

anonymous · Answer

P = F.V

P = F. dx/dt  ryt?

anonymous · Answer

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

anonymous · Answer

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

vincent-lyon.fr · Answer

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

anonymous · Answer

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

anonymous · Answer

x= displacement

anonymous · Answer

@Coolsector

anonymous · Answer

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