1. The problem statement, all variables and given/known data I'm doing an impact physics for engineering question and I cannot tell the difference between (v_A)_2x & (v_(Ax))_2. * I don't think I'll need help with solving the actual question if I understand these variables. 2. Relevant equations N/A 3. The attempt at a solution I know that v_A is object A's initial velocity, however, I don't know how to deal with the _2x. As for the second term above, I have no idea.....
welcome to pf! hi c0nfused34235! welcome to pf! (try using the X_{2} button just above the Reply box ) you mean (v_{A})_{2x} & (v_{Ax})_{2} ? what is the context?
Hi guys, thanks for the warm welcome and quick replies. Here's the question and it's solution. I was trying to figure it out (how they solve it) and I could not understand how they found the 2 variables in the red box (see image attached below). Thanks again.
(v_A)_{2} is the final velocity of body A, i.e., its velocity after the collision (v_A)_2x is the x-component of body A's final velocity after collision (v_(Ax))_2 is the after collision value of A's x-component of velocity The sum of the x-components of momentum of the system before and after the bodies collide remains constant. The same goes for the y-components of momentum.
hi c0nfused34235! (v_{A})_{2x} and (v_{Ax})_{2} are the same (i've no idea why they've done that ) so they just add (v_{A})_{2x} + (v_{B})_{2x} to (v_{A})_{2x} - (v_{B})_{2x} to get 2(v_{A})_{2x} (and subtract to get 2(v_{B})_{2x})
Could someone please solve for one of them (with steps)? I still don't understand how they solve for those variables. If they are indeed identical, why can't I substitute one set into the other formula? I get completely incorrect values.