C,D,E **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: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.**Diagram Explanation:**- The diagram shows a coordinate system with axes labeled \(x\) and \(y\).- A player of mass \(M = 100 \, \text{kg}\) is moving along the positive \(x\)-axis with a velocity \(v_M = 4 \, \text{m/s}\).- Another player of mass \(m = 50 \, \text{kg}\) is moving along the positive \(y\)-axis with a velocity \(v_m = 6 \, \text{m/s}\).- The two players collide and slide along a line marked \(P\) which forms an angle \(\theta\) with the \(x\)-axis.

c) Initial momentum is pi=Mvxi^+vyj^+mvxi^+vyj^=(100 kg)4i^+0 j^+(50 kg)0 i^+6 j^=400 i^+300 j^ kg…

Answered: m 50 kg The final velocity of the…

m 50 kg 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.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

C,D,E

**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:

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.

**Diagram Explanation:**

- The diagram shows a coordinate system with axes labeled \(x\) and \(y\).
- A player of mass \(M = 100 \, \text{kg}\) is moving along the positive \(x\)-axis with a velocity \(v_M = 4 \, \text{m/s}\).
- Another player of mass \(m = 50 \, \text{kg}\) is moving along the positive \(y\)-axis with a velocity \(v_m = 6 \, \text{m/s}\).
- The two players collide and slide along a line marked \(P\) which forms an angle \(\theta\) with the \(x\)-axis.

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