** 26. Two football players are running along perpendicular paths. The masses and velocities are given in the figure at left. The small one tackles the larger one at the point represented by the origin of the coordinate system and the two stick together, sliding in the mud along the line marked P. The coefficient of friction between the players and the mud is 0.20. You may assume that the force exerted by the ground on the players' cleats is negligible compared to the huge force they exert on each other. Find: M = 100 kg 7M = 4 m/s a) The total momentum of the system before the collision (magnitude and direction). V = 6 m/s b) The final momentum of the system just after the collision (magnitude and direction). c) The final velocity of the players (magnitude and direction). m = 50 kg d) The kinetic energy of the system just after the collision. e) The distance the players slide before coming to rest.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A, B,C

**Problem 26.** Two football players are running along perpendicular paths. The masses and velocities are given in the figure on the left. The smaller player tackles the larger one at the origin of the coordinate system, and they stick together, sliding in the mud along the line marked P. The coefficient of friction between the players and the mud is 0.20. Assume that the force exerted by the ground on the players' cleats is negligible compared to the substantial force they exert on each other. Find:

a) The total momentum of the system before the collision (magnitude and direction).

b) The final momentum of the system just after the collision (magnitude and direction).

c) The final velocity of the players (magnitude and direction).

d) The kinetic energy of the system just after the collision.

e) The distance the players slide before coming to rest.

**Figure Details:**

- The larger player (mass \(M = 100 \, \text{kg}\)) moves along the x-axis with a velocity \(v_M = 4 \, \text{m/s}\).
- The smaller player (mass \(m = 50 \, \text{kg}\)) moves vertically along the y-axis with a velocity \(v_m = 6 \, \text{m/s}\).
Transcribed Image Text:**Problem 26.** Two football players are running along perpendicular paths. The masses and velocities are given in the figure on the left. The smaller player tackles the larger one at the origin of the coordinate system, and they stick together, sliding in the mud along the line marked P. The coefficient of friction between the players and the mud is 0.20. Assume that the force exerted by the ground on the players' cleats is negligible compared to the substantial force they exert on each other. Find: a) The total momentum of the system before the collision (magnitude and direction). b) The final momentum of the system just after the collision (magnitude and direction). c) The final velocity of the players (magnitude and direction). d) The kinetic energy of the system just after the collision. e) The distance the players slide before coming to rest. **Figure Details:** - The larger player (mass \(M = 100 \, \text{kg}\)) moves along the x-axis with a velocity \(v_M = 4 \, \text{m/s}\). - The smaller player (mass \(m = 50 \, \text{kg}\)) moves vertically along the y-axis with a velocity \(v_m = 6 \, \text{m/s}\).
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