Oh the beauty of that little algebraic hint with the form of your factor of 1 in step 4. I had 2 different textbooks and a number of useless online sources at hand but they all conveniently skipped all the algebra so I ended up with a result of my integration which turned out to be correct - but not until I understood this neat little algebraic manipulation neded to simplify my expression for K. So there I was, having done the (for me) more interesting but challenging conceptual and integral parts but I got stuck for an hour or more because I couldn't find the right algreba party trick. THANKS! :)
Very nice I love deriving equations and this gave me satisfaction learning it’s origin. Why is the total energy then K+mc^2? I’m about to start 2nd year of my undergrad but I would really love to know the logic behind it. Thanks
@@fidrewe99 yeah, but in this case dp/dt is not a derivative, instead it can be thought of as Δp/Δt, and as such, physical quantities. From this, it’s not in violation to rearrange. Additionally, in this context, an integral is not an anti derivative, but instead a sum of a continuous function over a continuous domain
Thank you so much جزاك الله خيرًا يارب في الدنيا والآخرة you made it so much easier ❤️❤️❤️❤️
But how do you arrive at the equation for relativistic momentum?
Really really good. Follwing your playlist on this topic as revision before my finals. Helps a lot. Awesome work man! :)
A cookie to whoever can explain the process in between steps 4 and 5!
dont think in terms of 'rules' in 'calculus' but instead analyse step by step by drawing a graph of the process
Oh the beauty of that little algebraic hint with the form of your factor of 1 in step 4. I had 2 different textbooks and a number of useless online sources at hand but they all conveniently skipped all the algebra so I ended up with a result of my integration which turned out to be correct - but not until I understood this neat little algebraic manipulation neded to simplify my expression for K.
So there I was, having done the (for me) more interesting but challenging conceptual and integral parts but I got stuck for an hour or more because I couldn't find the right algreba party trick. THANKS! :)
Very nice I love deriving equations and this gave me satisfaction learning it’s origin. Why is the total energy then K+mc^2? I’m about to start 2nd year of my undergrad but I would really love to know the logic behind it. Thanks
tq sir. my doubt is clarified from u r video
I dont really understand part 3. Id like to know how to solve the integral.
+Jorma Sähikäinen integral and derivative (d) cancel each other.
Substitute u = 1 - v^2/c^2 and work from there.
I understand it very well, thanks
Why can you, if you've got dp/dt*dx, choose to derive x with respect to time instead of p?
this is physics maths, it helps to not be too thorough
@Diego Marra yes and that's my problem. How can he do that? It's a derivative, not a multiplication, so he changes what to derive.
@@ozcam666 Yes, but you have to know exactly what you are allowed to do and what would violate the math.
@@fidrewe99 yeah, but in this case dp/dt is not a derivative, instead it can be thought of as Δp/Δt, and as such, physical quantities. From this, it’s not in violation to rearrange. Additionally, in this context, an integral is not an anti derivative, but instead a sum of a continuous function over a continuous domain
@@ozcam666 Thanks, makes sense
Thank you so much!
You never really explained how the negative became a positive. What happened?
Use calculus methods to find the integral, which has a negative sign
nice
👍🏻👍🏻
didn't understood the part 3
why does he seem so angry or annoyed.
U da boss
It is Maxwell not Einstein.
from the 5th equation, where does the minus mv^2 comes from
ok got it
@@mhlanganofreedom1292 where lol
sir, you waste my time