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Speed deamplifier. In Fig. 9-74, block 1 of mass m1 slides

Chapter , Problem 85

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QUESTION:

Speed deamplifier. In Fig. 9-74, block 1 of mass m1 slides along an x axis on a frictionless floor at speed 4.00 m/s. Then it undergoes a one-dimensional elastic collision with stationary block 2 of mass m2 ! 2.00m1. Next, block 2 undergoes a one-dimensional elastic collision with stationary block 3 of mass m3 ! 2.00m2. (a) What then is the speed of block 3? Are (b) the speed, (c) the kinetic energy, and (d) the momentum of block 3 greater than, less than, or the same as the initial values for block 1?

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QUESTION:

Speed deamplifier. In Fig. 9-74, block 1 of mass m1 slides along an x axis on a frictionless floor at speed 4.00 m/s. Then it undergoes a one-dimensional elastic collision with stationary block 2 of mass m2 ! 2.00m1. Next, block 2 undergoes a one-dimensional elastic collision with stationary block 3 of mass m3 ! 2.00m2. (a) What then is the speed of block 3? Are (b) the speed, (c) the kinetic energy, and (d) the momentum of block 3 greater than, less than, or the same as the initial values for block 1?

ANSWER:

Step 1 of 4 a) The final velocity of block-2 after the collision is given by, Given the mass of block 2 is, So, Given, the initial velocity of block-1 is, The final velocity of block-3 after the collision is given by, Given the mass of block-3 is, So, We found out,\n The speed of block-3 after the elastic collision is

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