Question

"Two soccer players going for the same headball collide. Player 1 has a momentum of 100 kg*m/s and player 2 has a momentum of -140 kg*m/s. After they collide, player 2 ends up with a momentum of -10 kg*m/s. What is player 1's momentum after they collide? Show your work. *"

Answer 1

To find player 1's momentum after the collision, we can use the principle of conservation of momentum. By setting up an equation with the given momenta of player 1 and player 2 before the collision, we can solve for player 1's momentum after the collision.

Step-by-step explanation:

To solve this problem, we can use the principle of conservation of momentum. According to this principle, the total momentum before the collision is equal to the total momentum after the collision.

Let's assume that player 1's momentum after the collision is denoted by P1. So, the total momentum before the collision is given by:

Total momentum before collision = Player 1's momentum + Player 2's momentum

100 kg*m/s + (-140 kg*m/s) = P1 + (-10 kg*m/s)

Simplifying the equation, we get:

-40 kg*m/s = P1 - 10 kg*m/s

Now, let's isolate P1 by adding 10 kg*m/s to both sides of the equation:

-40 kg*m/s + 10 kg*m/s = P1 - 10 kg*m/s + 10 kg*m/s

-30 kg*m/s = P1

Therefore, player 1's momentum after they collide is -30 kg*m/s.