Visit http://ilectureonline.com for more math and science lectures!

To donate:
http://www.ilectureonline.com/donate
https://www.patreon.com/user?u=3236071

A particle of mass m is attached to one end of a mass-less spring of force constant k lying on a frictionless horizontal plane. The other end of the spring is fixed. The particle starts moving horizontally from its equilibrium position at time=0 with an initial velocity v0. When the speed of the particle is v0/2 it collides elastically with a rigid wall. After this collision:
A) The speed of the particle when it returns to its equilibrium position is v0.
B) The time at which the particle passes through the equilibrium position for the first time is t=(pi)SQRT(m/k).
C) The time at which the maximum compression of the spring occurs is t=(4pi/3)SQRT(m/k).
D) The time at which the particle passes through the equilibrium position for the second time is t=(5pi/3)SQRT(m/k).

Previous video in this series can be seen at:
https://youtu.be/F5hZweGOX6U
Next video in this series can be seen at:
https://youtu.be/dG-ceDdXZXY