High School

Two football players collide head-on in midair while chasing a pass. The first player has a mass of 102.0 kg and an initial velocity of 6.10 m/s, while the second player has a mass of 112 kg and an initial velocity of -3.4 m/s. What is their velocity (in m/s) just after impact if they cling together?

Answer :

Final answer:

The velocity of the two football players just after impact, when they cling together, is approximately 0.86 m/s in the direction of the first player.

Explanation:

The subject of your question pertains to the physics concept of conservation of momentum, specifically during a collision. The equation we would use here is m1v1 + m2v2 = (m1 + m2)vf, where m is mass, v is velocity prior to the collision and vf is the final velocity after the collision. Plugging in the given values: (102 kg * 6.10 m/s) + (112 kg * -3.40 m/s) = (102 kg + 112 kg) * vf. After computation, we find that vf, or the velocity after the collision when they cling together, is approximately 0.86 m/s (positive meaning in the same direction as the velocity of the first player), given that all values are in SI units.

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