Clarification about conservation of Energy/Momentum

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SUMMARY

This discussion clarifies the conservation principles of kinetic energy, linear momentum, and angular momentum. Kinetic energy is conserved in perfectly elastic collisions and when no external forces act on an object, but it decreases in inelastic collisions and increases in explosions. Linear momentum is conserved in all types of collisions as long as no external forces are applied. Angular momentum conservation occurs when the net torque acting on an object is zero, which can be determined by calculating the torque.

PREREQUISITES
  • Understanding of kinetic energy and its conservation laws
  • Knowledge of linear momentum and its conservation principles
  • Familiarity with angular momentum and torque concepts
  • Basic physics of elastic and inelastic collisions
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  • Study the principles of elastic and inelastic collisions in detail
  • Learn how to calculate torque and identify conditions for zero net torque
  • Explore the relationship between external forces and momentum conservation
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GoodGuyGoku
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Hello,

I'm having some difficulties keeping when Linear/Angular Momentum and Kinetic Energy are conserved straight.

So far I believe that Kinetic energy is conserved when no outside/non-conservative forces are acting on an object. It is conserved only in perfectly elastic collisions, which only occur at the atomic level(?) Then it decreases in inelastic collisions and increases in explosions.

Linear momentum is conserved when Kinetic Energy is conserved, ie, no outside forces acting on the object and in all types of collisions.

Angular momentum is conserved when the net torque acting on an object is 0.
Here's my big question on this one, how do I know when the net torque is 0? I believe that torque is the tendency of an object to rotate, so when there's no rotation is there no torque?

I just need a little bit of clarification on all of these.


Thank you so much for your help!
 
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So far I believe that Kinetic energy is conserved when no outside/non-conservative forces are acting on an object.
That's not true. Kinetic energy for a single particle without any internal structure is conserved if no force at all is acting on it, but that is a boring situation, the particle will go in a straight line.
Kinetic energy is also conserved in elastic collisions, without any additional forces.
which only occur at the atomic level(?)
Let's say atoms are a very common place to find elastic collisions. It is not exclusive, and not all atomic collisions are elastic, but that is a good approximation.
Linear momentum is conserved when Kinetic Energy is conserved, ie, no outside forces acting on the object and in all types of collisions.
That's way too narrow. Linear momentum is conserved when there is no outside force. It does not matter what happens internally.

Here's my big question on this one, how do I know when the net torque is 0?
Calculate torque, see if it zero.

I believe that torque is the tendency of an object to rotate
No
so when there's no rotation is there no torque?
No (and it would not even follow from the above statement if that would be true).
In particular, if you have a net linear force, there are always reference frames where the torque is not zero.
 

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