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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 4.1 m/s, grabs and holds onto him so that they move off together with a velocity of 2.2 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:m=86.36 kg

Explanation:

Given

mass of tackler [tex]m_T=100 kg[/tex]

initial velocity of Tackler [tex]u_t=4.1 m/s[/tex]

Final velocity of combined system [tex]v=2.2 m/s[/tex]

Let m be the mass of receiver

conserving momentum

[tex]m\times 0+m_t\times u_t=(m+m_t)v[/tex]

[tex]0+100\times 4.1=(100+m)\cdot 2.2[/tex]

[tex]410=(100+m)\cdot 2.2[/tex]

[tex]100+m=186.36[/tex]

[tex]m=86.36 kg[/tex]

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