# Power required to accelerate

#### Leonson

A body of mass m moves up a plane inclined at an angle "theta" to the horizontal. What is the power required by the body for it to have an acceleration "a" when its instantaneous velocity is v?

My idea is that the power required = power to overcome the body's weight + power to accelerate, therefore P=mgsin(theta)+mav.
But I don't know if it is correct at all.

#### oz93666

Force required = force to overcome weight + force to acc,

So F= mgsin (theta) +ma to get power multiply all that by v ... not just ma as in your post

• topsquark

#### Leonson

A body of mass m moves up a plane inclined at an angle "theta" to the horizontal. What is the power required by the body for it to have an acceleration "a" when its instantaneous velocity is v?

My idea is that the power required = power to overcome the body's weight + power to accelerate, therefore P=mgsin(theta)+mav.
But I don't know if it is correct at all.
Sorry there is a typo..
It was supposed to be P=mgvsin(theta)+mav.
Missing the v in mgsin(theta).

#### Leonson

Force required = force to overcome weight + force to acc,

So F= mgsin (theta) +ma to get power multiply all that by v ... not just ma as in your post
Thank you for replying, I'm reassured