Question

A metal ball of mass 2kg moving with speed of 10 m/s undergoes a head collision with Stationary ball of mass 3 kg. If arfter collision, both the balls move together What is the loss in kinetic energy due to collision. ​

Answer 1

Loss in kinetic energy = 60 J

Step-by-step explanation:

We have to first calculate the final velocity of the objects to find the final kinetic energy.

• Using the law of conservation of momentum:

`m_1 u_1 + m_2 u_2 =m_1 v_1 + m_2 v_2\\\\`

⇒ 2 × 10 + 0 = (2 + 3)v

⇒ v =
`(20)/(5)`

⇒ v = 4 m/s

• Initial kinetic energy =
`(1)/(2)` × 2 × (10)²

= 100 J

• Final kinetic energy =
`(1)/(2)` × (2 + 3) × (4)²

= 40 J

∴ Loss in kinetic energy = 100 - 40

= 60 J