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During a football game, a receiver has just caught a pass and is standing still. Before he can move, a tackler, running at a velocity of 4.8 m/s, grabs and holds onto him so that they move off together with a velocity of 2.5 m/s. If the mass of the tackler is 100 kg, determine the mass of the receiver in kilograms. Assume momentum is conserved.

Respuesta :

Answer:

Mass of receiver is 92 kg        

Explanation:

We have given mass of tackler [tex]m_1=100kg[/tex]

Let the mass of receiver is [tex]m_2kg[/tex]

When tackler moving alone velocity is [tex]v_i=4.8[/tex] m/sec

And when tackler and receiver is together velocity is [tex]v_f[/tex] = 2.5 m/sec

So from conservation of momentum

[tex]m_1v_i=(m_1+m_2)v_f[/tex]

[tex]100\times 4.8=(100+m_2)\times 2.5[/tex]

[tex]2.5m_2+250=480[/tex]

[tex]2.5m_2=230[/tex]

[tex]m_2=92kg[/tex]

So mass of receiver is 92 kg

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