Question

Expressoin for final speed of a particle moving in an inclined plane

Answer 1

Answer:

Let

Mass of particle = m

Initial velocity = u m/s

Final velocity = v

Height of incline surface = h

We know that from work power energy theorem

Work due to all work = Change in kinetic energy

So From particle move from point A to B then

Work done to gravity = - m g h

Change in kinetic energy

ΔK= 1/2 m v² -  1/2 m u²

So

- m g h = 1/2 m v² -  1/2 m u²

-2 g h =   v² -    u²

 v² = u²- 2 g h