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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.
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