A professional boxer hits his opponent with a 1025 N horizontal blow that lasts 0.150 s. The opponent's total body mass is 116 kg and the blow strikes him near his center of mass and while he is motionless in midair. Determine the following. (a) impulse the boxer imparts to his opponent by this blow
kg · m/s
(b) the opponent's final velocity after the blow
m/s
(c) Calculate the recoil velocity of the opponent's 5.0-kg head if hit in this manner, assuming the head does not initially transfer significant momentum to the boxer's body.
m/s

The impulse is  

The opponents velocity is  

The opponents head recoils velocity  

Explanation:

From the question we are told that

    The force of the blow is  

    The duration of the blow is  

      The mass of the opponent is  

       The mass of the opponents head is  

The impulse the boxer imparts is mathematically represented as

substituting values

The impulse can also be mathematically evaluated as

substituting values

The recoil velocity is mathematically represented as  

substituting values

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