On a frictionless air track, a 0.5000 kg-glider moving to the right at 2.950 m/s
ID: 1909892 • Letter: O
Question
On a frictionless air track, a 0.5000 kg-glider moving to the right at 2.950 m/s collides with a 0.4000 kg glider moving to the left at 1.950 m/s. The collision is elastic. Assume the right direction is the positive direction of motion . (a)What is the velocity of the 0.5000 kg-glider after the collision? (b) What is the velocity of the 0.4000 kg-glider after the collision? (c) Using the velocities of parts (a) and (b), compute the total kinetic energy of the system after the collision. Do not round off during intermediate computations. (d) Using the initial velocities before the collision, compute the total kinetic energy of the system before the collision. Do not round off during intermediate computations. (e) Are the answer to parts (c) and (d) equal? Explain.Explanation / Answer
a)Energy equation, all the energy from the spring will transfer into kinetic. 1/2k*x^2=1/2m*v^2 k=450 N/m , x=0.04m, m=0.5kg solve for v to find the max velocity. b)just put -0.015m instead of +0.015m c)The max acceleration of the plane will be during the initial take off of the plane on the spring. So, u want the velocity/time to find the acceleration. time= distance/velocity = 0.015m/velocity that u get from (a) now u see that the acceleration is just V^2/distance V^2/0.015m = max acceleration. d) use the new V with the -0.015 for x that u get from (b) e)1/2kx^2
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