Power associated with net force

[REVIANNA]

Homework Statement

How to prove :
[/B]
$P*F_net=((dK)/(dt))$
i.e. power associated with the net force is the rate of change of kinetic energy.

The Attempt at a Solution

[/B]
if I use the definition of power ans then that of work I get (m*a*ΔS )*(F_net)
further using F_net=ma
LHS= $m^2*a^2*ΔS$

There is no question along with it for which I could have though about the system and forces.
so I am assuming const force and acceleration.

 

[cnh1995]

P∗Fnet=((dK)/(dt))P*F_net=((dK)/(dt))

Is that product of force and power on LHS? If yes, the equation looks dimensionally incorrect.
Actually, if you solved dK/dt first, you'll get power.

 

[REVIANNA]

Is that product of force and power on LHS? If yes, the equation looks dimensionally incorrect.
Actually, if you solved dK/dt first, you'll get power.

so sorry ,actually the F_net was written as the subscript P ,not their product
this makes complete sense now
$P_F=(dK/dt)$

 

[cnh1995]

so sorry ,actually the F_net was written as the subscript P which not their product
this makes complete sense now
$P_F=(dK/dt)$

Then I believe answer is a couple of steps away. Good luck..