What Determines Relativistic Momentum: Mass or Velocity?

AI Thread Summary
Relativistic momentum is determined by both mass and velocity, as indicated by the formula momentum = mv/√(1 - v²/c²). The discussion highlights a misunderstanding regarding whether momentum depends solely on mass or includes velocity. The correct interpretation is that both factors are essential in calculating relativistic momentum. The question from the practice exam has been deemed misleading by some participants. Understanding this concept is important for grasping the principles of relativistic physics.
Shark 774
Messages
42
Reaction score
0
In a practice exam I just did for my upcoming high school mid-year, there was a multiple choice question and the two answers that seemed plausable were "relativistic momentum depends on the mass and velocity of the object" or "relativistic momentum depends only on the mass of the object". I chose the second one with the reasoning that mass and velocity are intertwined and one increases so does the other, so if you know the relativistic mass (and the rest mass) you can easily work out the momentum. I think it's a bit of a stupid question really, but they gave their answer as the first one, not the second one. What do you guys reckon? Just a technicality or is it something worth knowing/worrying about?
 
Physics news on Phys.org
Hi Shark 774! :smile:

Momentum is mov/√(1 - v2/c2)

which you can also write as mrelativsiticv …

either way, it depends on both mass and velocity. :redface:
 
tiny-tim said:
Hi Shark 774! :smile:

Momentum is mov/√(1 - v2/c2)

which you can also write as mrelativsiticv …

either way, it depends on both mass and velocity. :redface:

Ok thanks!
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top