An 85 kg linebacker is running at 8 m/s directly toward the sideline of a footba

Question

An 85 kg linebacker is running at 8 m/s directly toward the sideline of a football field. He tackles a 75 kg running back moving at 9 m/s straight toward the goal line (perpendicular to the original direction of the linebacker.) As a result of the collision both players momentarily leave the ground. Determine their common speed and direction immediately after they collide.

I know the answer is 6.0 m/s and 45 degrees toward the sidelines from the running backs' original path. I don't understand how to do this problem. Please show all work and how to get this answer.

Explanation / Answer

conservng the momentum 85*8i + 75*9j = 160(xi+yi) x = 85*8/160 =4.25 y= 75*9/160= 4.21875 net speed = sqrt(4.25^2 + 4.21875^2) = 5.988 almost equal tp 6 m/s

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