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The Mechanical Universe: 15. Conservation of... by physics-lnr
After studying the material of this chapter, you should be able to:
1. Define linear momentum and write the mathematical formula for linear momentum from memory.
2. Distinguish between the unit of force and momentum.
3. Write Newton's Second Law of Motion in terms of momentum.
4. Define impulse and write the equation that connects impulse and momentum.
5. State the Law of Conservation of Momentum and write, in vector form, the law for a system involving two or more point masses.
6. Distinguish between a perfectly elastic collision and a completely inelastic collision.
7. Apply the laws of conservation of momentum and energy to problems involving collisions between two point masses.
8. Define center of mass and center of gravity and distinguish between the two concepts.
I liked that video and it makes sense. The differential equation (dp/dt)=F makes sense because F=ma and assuming that mass is a constant (which it should be) f=m(dv/dt) because dv/dt is acceleration, so then we can conclude that dp/dt=F. And we stated that Ft=mv (impulse=momentum) from algebraic derivation but the calculus works out too...if dp/dt=F then dp=Fdt...integrate to get P...assuming force is a constant we know p=Ft+c and p=mv so mv=ft.
ReplyDeleteJust replying to George to see if he gets notifed, anyways George for the coin vortex problem, much like rate of change the vortex is a changing radius therefore changing centripital forces. Did you use an integral much like gravitational potential energy equations or did you use more basic ways? Thanks
DeleteWell if you're talking about the rate of change of the radius in centripetal motion, assuming that mg=(mv^2)/r, solve for r you get rmg=mv^2 well the masses cancel so rg=v^2 and r=v^2/g, since the velocity changes im guessing dr/dv=g2v/g^2 which is just 2v/g and idk what you're looking for but u can find r and v by integrating once u get dv to equal something and dr to equal something.
DeleteI'm struggling to figure out how to approach problems based on 7.2. If anybody could help me understand how to set it up, it'd be great.
ReplyDeleteUrsula Vasquez
I cannot see the blog post you just showed me when I was in your class.
ReplyDeleteUrsula Vasquez