Correct. I've personally never studied relativistic collisions that resulted in a decrease of mass and an increase of KE (although an exploding atomic bomb certainly converts mass to KE). In classical physics, especially in the low-energy limit, mass is conserved in collisions, so classical...
http://physics.stackexchange.com/questions/126302/is-there-any-example-of-an-inelastic-collision-where-final-kinetic-energy-of-the
TL;DR. Yes, but you need a source of energy that gets released upon collision (e.g. chemical energy in gunpowder, spring getting released). If you're looking at 2...
Hey guys, I'm looking for some nice new physics challenges similar to physics.harvard.edu Problem of the Week or the 2 star and above problems in Morin's Intro to Classical Mechanics (also Feynman problems). Where else can I find such problems? Or does anyone know of a few that they could share?
I think the problem wants us to treat it as massless. I've seen other versions of the problem that treat it the same way. The diffEQ may look ugly, that's why I used dimensional analysis. Inspired by one of David Morin's solutions to a similar problem in his textbook.
Starting equation which you had no problem with in this reply: mdv/dt+vdm/dt=mgsin(θ)
Relevant equations:
p=linear mass density along the plane (read as rho)
v=dx/dt (definition)
m=px (dustpan travels a distance x, picks up p kg per distance traveled)
dm/dt=pdx/dt=pv (differentiating above...
Damn it. I forgot. But let me justify my work so far.
xx''+(x')^2-xgsin(θ)=0
This is my final differential equation, arrived at through only momentum considerations and not dimensional analysis (if my reasoning is indeed correct). No density term appears here (it canceled out). Since any x(t)...
g, t, and theta are the only variables that can possibly affect position. Dimensional analysis gives me the result. (A is a dimensionless constant.)
m=mas-2asb
seconds must cancel: -2a+b=0, a=1 (to ensure that length dimension is 1 as it should be)
a=1, b=2
hence x=Agt2
I thought that x...
Homework Statement
A dustpan slides down a plane inclined at angle θ. Dust is uniformly dis- tributed on the plane, and the dustpan collects the dust in its path. After a long time, what is the acceleration of the dustpan? Assume there is no friction between the dustpan and plane.
p=linear...