A 92 kg fullback, running at 5.0 m/s,attempts to dive across the goal line for a

Question

A 92 kg fullback, running at 5.0 m/s,attempts to dive across the goal line for a touchdown. Just as hereaches the goal line, he is met head on in midair by two 75 kglinebackers, one moving at 2.0 m/s and the other at 4.0 m/s. Ifthey all become entangled, what is the final velocity of theentangled players? Does the fullback score? please give step by step instrustion and solution A 92 kg fullback, running at 5.0 m/s,attempts to dive across the goal line for a touchdown. Just as hereaches the goal line, he is met head on in midair by two 75 kglinebackers, one moving at 2.0 m/s and the other at 4.0 m/s. Ifthey all become entangled, what is the final velocity of theentangled players? Does the fullback score? please give step by step instrustion and solution

Explanation / Answer

intial velocity of fullback = v with mass M     moemntum = Mv on hitting two 75kg line breakers the final velocityafter getting entagled                               V = [Mv + m(-u) + m(-u')] /(M+2m) m = mass of line breakers u , u' be the velocitys of the two linebreakers    here we consider velocity of fullback alongpostive x- direction , and u,u' along negative x - direction, whether the full back score or not depends onthe direction of the resultant velocity V , V must be positive for him to score . from the given values using the above relation we cansovle for the resultent velocity .         

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