College

Two football players are running towards each other in a straight line in exact opposite directions.

- Player A is running at 3.3 m/s and has a mass of 105 kg.
- Player B has a mass of 126 kg.

The players collide, and their net momentum after the collision is 0 Ns. How fast was Player B running before they collided?

Answer :

The speed of player B before they collide is 2.75 m/s

What is momentum?

Momentum is defined as the product of mass and velocity. It is expressed as

Momentum = mass × velocity

What is impulse?

This is defined as the change in momentum of an object.

Impulse = change in momentum

Impulse = final moment – Initial momentum

How to determine the speed of player B

Since net momentum after the collision is 0 Ns, it means that:

Momentum of A = Momentum of B

With the above, idea, we can obtain the speed of player B as illustrated below:

  • Mass of player A = 105 Kg
  • Speed of player A = 3.3 m/s
  • Mass of player B = 126 Kg
  • Speed of player B =?

Momentum of A = Momentum of B

105 × 3.3 = 126 × speed of B

346.5 = 126 × speed of B

Divide both sides by 126

Speed of B = 346.5 / 126

Speed of B = 2.75 m/s

Thus, the speed of player B before the collision is 2.75 m/s

Learn more about momentum:

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