ic_sol_w09d1_1

ic_sol_w09d1_1 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01 TEAL Fall Term 2004 In-Class Problems 27-29: Momentum and Collisions: Solutions Problem 27: Elastic One Dimensional Collision Consider the elastic collision of two carts along a track; the incident cart 1 has mass m 1 and moves with initial velocity v 1,0 . The target cart has mass m 2 = 2 m and is initially at rest 1 v 2,0 = 0 . Immediately after the collision, the target cart has final speed v 1, f and the target cart has final speed v 2, f . Calculate the final velocities of the carts as a function of the initial velocity v 1,0 . Solution a) Draw a momentum diagram. Figure 10.11 Momentum flow for a one-dimensional collision. b) Find the equation for conservation of momentum in the lab reference frame. mv = − + 2 mv 2 , f . 11 , 0 f 1 Thus v 1,0 = − v f + 2 v 2, f . c) Find the equation for conservation of energy in the lab reference frame. 1 2 = 1 1 . 2 , 2 f 2 + 1 2 2 2 f 2 Thus 1
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2 2 v 1,0 = v 1, f + 2 v 2, f 2 .
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This note was uploaded on 04/22/2011 for the course PHYS 1441 taught by Professor White during the Spring '08 term at UT Arlington.

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ic_sol_w09d1_1 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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