Physics Friday 109

Continuing from last week, we consider the speed of the mass M after it undergoes a deflection by the maximum angle in a collision with an initially stationary mass m<M.

Recalling the circle formed by the possible velocities, with the maximum angle representing the tangent vector, we can use the right triangle to find the velocity.


Specifically, the Pythagorean theorem tells us that
,
so that we see that the smaller the stationary mass m is in proportion to the mass M, the closer the maximum-angle post-collision velocity is to the pre-collision velocity in both direction and magnitude; and as the masses aproach equality, the maximum-angle post-collision speed goes to zero.
Lastly, we can find the speed as a function of the maximum angle via :
.

Advertisements

Tags: , , , , ,

One Response to “Physics Friday 109”

  1. Physics Friday 114 « Twisted One 151's Weblog Says:

    […] case. When n is large, θ is small, so , and with this approximation, . Now, we found here that in the maximum angle deflection case, the velocity post-collision has magnitude , and recall […]

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s


%d bloggers like this: