Question

A 50 Kg football player is standing still when he experiences an inelastic collision with a 150 Kg football player who is traveling at 10 m/s. What is the velocity of the player immediately after the collision?

Answer 1

V = 7.5 m/s

Step-by-step explanation:

Given that,

Mass of player 1, m₁ = 50 kg

Mass of player 2, m₂ = 150 kg

50 kg player stands still and 150 kg player is traveling at 10 m/s

We need to find the velocity of the player immediately after the collision. As the inelastic collision occurs. The linear momentum will remain conserved. After the collision, let they move with a constant velocity say V.So,

`m_1u_1+m_2u_2=(m_1+m_2)V\\\\V=(m_1u_1+m_2u_2)/((m_1+m_2))\\\\=(150* 10)/((50+150))\\\\=7.5\ m/s`

So, the velocity of the player immediately after the collision is 7.5 m/s.