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

Verified
Step 1
1 of 5

$\textbf{Givens}$

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

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

\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*}

## Recommended textbook solutions

#### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

4th EditionISBN: 9780133942651 (7 more)Randall D. Knight
3,508 solutions

#### Sears and Zemansky's University Physics

14th EditionISBN: 9780133969290 (2 more)Hugh D. Young, Roger A. Freedman
8,346 solutions

#### Mathematical Methods in the Physical Sciences

3rd EditionISBN: 9780471198260Mary L. Boas
3,355 solutions

#### Fundamentals of Physics

10th EditionISBN: 9781118230718 (5 more)David Halliday, Jearl Walker, Robert Resnick
8,949 solutions