contestada

If you run toward the ball at a speed of 4.8 m/s, and the ball is flying directly at you at a speed of 26 m/s, what is the magnitude of the total momentum of the system (you and the ball)? Assume your mass is 60 kg.

Respuesta :

Answer:

The total momentum of the system is 289.48 kg-m/s

Explanation:

It is given that,

Speed of the person, [tex]v_1=4.8\ m/s[/tex]

Speed of the ball, [tex]v_2=26\ m/s[/tex]

Let the mass of the ball is 0.057 kg and the mass of the person is 60 kg. We need to find the total momentum of the system (you and the ball). It is given by the sum of momentum of the ball and the person such that,

[tex]p=m_1v_1+m_2v_2[/tex]

[tex]p=60\times 4.8+0.057\times 26[/tex]

p = 289.48 kg-m/s

So, the total momentum of the system is 289.48 kg-m/s. hence, this is the required solution.

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