A body of mass 20kg moving with a velocity of 80ms\(^{-1}\) collides with another body...

Explanation

(a)

Momentum before collision = \((20 \times 80) + (30 \times 50) = 1600 + 1500\)

= \(3100 kgm/s\)

Momentum after collision = 50v kgm/s

Momentum before collision = Momentum after collision

\(3100 = 50v\)

\(v = \frac{3100}{50} = 62m/s\)

(b)

Momentum before collision = \((20 \times 80) - (30 \times 50) = 1600 - 1500\)

= \(100 kgm/s\)

Momentum after collision = \(50v kgm/s\)

\(\therefore 100 = 50v\)

\(v = 2m/s\)