Question

E 29 of 30 Questions < Assignment Score: 2490/3000 Resources Hint Check Answer 21 Question 4 of Attempts 97/100 Correct < Question 29 of 30 > 0/100 22 Question O of Attempts A 76.5 kg linebacker (X) is running at 7.91 m/s directly toward the sideline of a football field. He tackles a 95.6 kg running back (O) moving at 8.83 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 and go out-of-bounds at an angle o relative to the sideline, as shown in the diagrams. 23 Question 100/100 1 of Attempts Correct Before impact After impact 24 Question 1 of 0 Attempts 100/100 Correct 25 Question 99/100 2 of Attempts Correct 26 Question 1 of 0 Attempts 100/100 Correct 0/100 27 Question O of Attempts What is the common speed up of the players immediately after their impact? 0/100 28 Question O of Attempts Uf = m/s 0/100 29 Question O of Attempts What is the angle of their motion relative to the sideline? 0/100 30 Question O of Attempts =

Answer 1

A)

Using law of conservation of momentum in x-direction,

(76.5 x 7.91) = (76.5 + 95.6) Vx

Vx = 3.52 m/s

Using law of conservation of momentum in y-direction,

(95.6 x 8.83) = (76.5 + 95.6) Vy

Vy = 4.90 m/s

Velocity, v = sqrt(Vx^2 + Vy^2) = 6.04 m/s

B)

Theta = arctan (Vx/Vy) = 35.69°

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