At the Jets-Ravens football game played on Oct. 23, Jets\' running back Matt For

Question

At the Jets-Ravens football game played on Oct. 23, Jets' running back Matt Forte with a mass of 218 lbs and running at 8 m/s was tackled by a Ravens' linebacker with a mass of 275 lbs. Right after the tackle the two were stuck together and moved in the same direction as the initial direction of Matt at a speed of 1.5 m/s (a) What is the speed and direction of the linebacker before the tackle? (b) What is the impulse applied to the linebacker by Matt? (Assume that at the moment of collision both players were up in the air. Namely, their feet were not applying force on the ground. Consider only horizontal direction in this problem.)

Explanation / Answer

5)

a) let the speed of line backer was u

as there is no external force acting on the system in horizontal direction during collision

Using conservation of momentum

initial momentum of the system = final momentum of system

218 * 8 + 275 * u = (218 + 275) * 1.5

solving for u

u = -3.65 m/s

the speed of line backer was 3.65 m/s opposite to the diretion of Matt

b)

impulse applied to the line backer = change in momentum of linebacker

impulse applied to the line backer = m * (v - u)

impulse applied to the line backer = 0.453 * 275 * (1.5 - (-3.65))

impulse applied to the line backer = 641.6 Kg.m/s

the impulse applied to the line backer is 641.6 Kg.m/s in the direction of motion of Matt

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