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Name: Two cars of masses m1 and m2 collide at an intersection. Before the co
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Description: Two cars of masses m1 and m2 collide at an intersection. Before the collision, car 1 was traveling eastward at a speed of v1, and car 2 was traveling northward at a speed of v2. (Figure 1)After the collision, the two cars stick together and travel of

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter1: Matrices, Vectors, And Vector Calculus

Section: Chapter Questions

Problem 1.35P

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Two cars of masses m1 and m2 collide at an intersection. Before the collision, car 1 was traveling eastward at a speed of v1, and car 2 was traveling northward at a speed of v2. (Figure 1)After the collision, the two cars stick together and travel off in the direction shown.

find the magnitude of v→, that is, the speed v of the two-car unit after the collision.

Express v in terms of m1, m2, and the cars' initial speeds v1 and v2.

Find the tangent of the angle θ.

Express your answer in terms of the momenta of the two cars, p1 and p2.

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