Answer :
Final answer:
The speed of the players just after their perfectly inelastic collision is approximately 1.34 m/s. This is determined using the conservation of momentum law which states that the total momentum before is equal to total momentum after the collision.
Explanation:
The subject this question deals with is physics, specifically the concept of inelastic collisions within momentum conservation. This can be solved using the momentum conservation law, which states that the total momentum of a system of objects is constant if no external forces are acting upon it.
In an inelastic collision, objects stick together and move as a single unit post-collision. Here, a 94 kg running back moving at 2.97 m/s collides with a 107 kg defender initially at rest. Using the formula for momentum (p=mv), we can calculate the combined speed after the collision. The total initial momentum (p_initial) is the mass of the running back times his initial speed (94 kg * 2.97 m/s = 279.18 kg.m/s). The final momentum (p_final) is the same as p_initial because momentum is conserved. Therefore, 279.18 = (94 kg + 107 kg) * v_final. Solving for v_final gives us approximately 1.34 m/s.
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