Question

On a very muddy football field, a 110-kg linebacker tackles an 85-kg halfback. Immediately before the collision, the linebacker is slipping with a velocity of 8.8 m/s north and the half-back is sliding with a velocity of 7.2 m/s east. What is the velocity (magnitude and direction) at which the two players move together immediately after the collision?

Solution

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Givens\textbf{Givens}

\normalsize We have the linebacker's mass is mA=110kg\color{#c34632}m_A = 110kg and the halfback's mass is mB=85kg\color{#c34632}m_B = 85kg .

Let +x+x-axis be east and +y+y-axis be north, so we have:

vA1x=0,vA1y=8.8 m/svB1x=7.2 m/s,vB1y=0vA2= ???,vB2= ???\begin{align*} v_{A1x} & = 0 &, \qquad \qquad \qquad v_{A1y} &= 8.8\text{ m/s}\\ v_{B1x} & = 7.2\text{ m/s} &, \qquad \qquad \qquad v_{B1y} & = 0\\ \vec{\textbf{v}}_{A2} &=\ ??? &,\qquad \qquad \qquad \vec{\textbf{v}}_{B2} & = \ ??? \end{align*}

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