Question

A football player with a mass of 88 kg and a speed of 2.0 m/s collides head-on with a player from the opposing team whose mass is 120 kg. The players stick together and are at rest after the collision. Find the speed of the second player, assuming the speed of light is 3.0 m/s.

Answer 1

Speed of another player, v₂ = 1.47 m/s

Step-by-step explanation:

It is given that,

Mass of football player, m₁ = 88 kg

Speed of player, v₁ = 2 m/s

Mass of player of opposing team, m₂ = 120 kg

The players stick together and are at rest after the collision. It shows an example of inelastic collision. Using the conservation of linear momentum as :

`m_1v_1+m_2v_2=(m_1+m_2)V`

V is the final velocity after collision. Here, V = 0 as both players comes to rest after collision.

`v_2=-(m_1v_1)/(m_2)`

`v_2=-(88\ kg* 2\ m/s)/(120\ kg)`

`v_2=-1.47\ m/s`

So, the speed of another player is 1.47 m/s. Hence, this is the required solution.