Use the scenario below for the next three questions. Bal s initially moving to t

Question

Use the scenario below for the next three questions. Bal s initially moving to the right at a speed of 13 m/s, and Ball 2 is initially moving to the left at a speed of 2.9 m/s, both with respect to the ground. The mass of Ball 1 is 2.3 kg, and the mass of Ball 2 is 2.0 kg. The balls collide inelastically, and after the collision, Ball 1 is moving to the of 5.5 m/s 19. What is the center of mass velocity of the balls before the collision? Define the positive direction to be to the right. A) 5.9 m/s B) 5.1 m/s C) 8.5 m/s D) 27 m/s E) 18 m/s 20. What is the speed of Ball 2 after the collision? A) 14 ms B) 94 m/s C) 12 m/s D) 55 m/s E) 65 m/s 21. What is the impulse that Ball 2 imparts on Ball 1 during the collision'? A) 19 N*s to the right B) 19 N.s to the left C) 78 N s to the right D) 46 Nes to the right E) 78N's to the lett

Explanation / Answer

Conservation of linear momentum is valid in all the cases hence

m1u1 +m2u2= m1v1 +m2v2

2.5*13 - 2*2.9 = 2.5* 5.5 + 2* v2

V2= 6.5 m/s

20. Impulse is given by the change in momentum of the body in the direction of impulse.

Hence

I = 2.5 * (5.5 - 13) = - 18.75 = 19 kgm/s in left direction

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