Two football players collide head-on in midair while chasing a pass. The first player has a mass of 100.0 kg and an initial velocity of 4.70 m/s. The second player has a mass of 124 kg and an initial velocity of -5.00 m/s. What is their velocity (in m/s) just after impact if they cling together? Indicate the direction with the sign of your answer.

The velocity of two football players just after they collide and cling together is determined using the conservation of momentum. The combined velocity after the collision is 0.80 m/s in the direction of the first player's initial motion.

The principle of conservation of momentum to find the velocity of two football players just after a collision where they cling together. The problem falls under the domain of classical mechanics in physics. To solve it, we use the formula:

m1v1 + m2v2 = (m1 + m2)v

Where m1 and m2 are the masses of the players, v1 and v2 are their initial velocities, and v is their common velocity after the collision.

For the first player with a mass of 95.0 kg and velocity of 6.00 m/s, and the second player with a mass of 115 kg and velocity of -3.50 m/s, we solve:

(95.0 kg * 6.00 m/s) + (115 kg * -3.50 m/s) = (95.0 kg + 115 kg) * v

v = (570 kg*m/s - 402.5 kg*m/s) / (210 kg)

v = 0.80 m/s

The positive sign indicates that their combined velocity is in the direction of the first player's initial motion.