Question

A mass of 20kg which moved vertically produced a momentum of 300kg.m/s, how much power was needed to move the mass?

Answer 1

Power is 3000 W

Step-by-step explanation:

Momentum = mass × velocity

`300 = 20 * v \\ velocity = 15 \: {ms}^( - 1)`

For power:

`P = (force * distance)/(time) \\ \\ P = force * ( (distance)/(time) )`

but distance/time is velocity, so:

`P = force * velocity`

but force = mass × acceleration:

`P = (mass * acceleration) * velocity \\ P = (20 * 10) * 15 \\ P = 3000 \: \: watts`

[ taken acceleration to be 10 m/s² ]