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Two football players are running toward each other. One football player has a mass of 105 kg and is running at 8. 6 m/s. The other player has a mass of 90 kg and is running at -9. 0 m/s. What is the momentum of the system after the football players collide? 93 kg · m/s 1,713 kg · m/s. 810 kg · m/s. 903 kg · m/s.

Sagot :

The correct answer is P = 1740 kg · m/s, we got this answer by applying the momentum expression which is P = Δ(mv), based on the fact that the mass is not constant

Given data

Mass of Player one = 105kg

Mass of Player two = 93Kg

The Velocity of Player one = 8.6m/s

The Velocity of Player two = -9.0m/s (the negative sign indicates the opposite direction to player one)

Applying Newton’s Second Law in Terms of Momentum because the mass is not constant

When Newton’s second law is expressed in terms of momentum, it can be used for solving problems where mass varies,

We also want to assume that the players stuck together after the collision

An inelastic collision, in contrast to an elastic collision, is a collision in which kinetic energy is not conserved due to the action of internal friction.

P = M1V1 + M2V2

P= 105*8.6+93*9.0

P = 903 +837

P = 1740 kg · m/s.

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