Question

How much work is needed to be done on a ball of
mass 50 g to give it a momentum of 5 kg m/ s?
​

Answer 1

Answer:

Given :

initial velocity ( u ) = 0 m/s

final velocity ( v ) = ?

mass ( m ) = 50 g

                 = 50 / 1000 kg

                 = 0.05 kg

Momentum ( p ) = 5 kg m/s

Formula :

Momentum = mass × velocity

Calculate the final velocity :

5 kg m/s = 0.05 kg × v

= > v = 5 kg m/s / ( 0.05 kg )

= > v = 100 m/s

Formula :

Work = change in kinetic energy

          = 1/2 m v² - 1/2 m u²

1/2 m u² = 0 because u = 0

Hence work = 1/2 m v²

Find the work

W = 1/2 m v²

= > W = 1/2 × 0.05 × (100)²

= > W = 1/2 × 0.05 × 100 × 100

= > W = 1/2 × 5 × 100

= > W = 5 × 50

= > W = 250 J

ANSWER :

The work done is 250 J

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