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Is Kinetic Energy actually ½mv²?

Stand-up Maths

1,166,235 views

Special thanks to Dr Clara Nellist for making the time to hop on a call with me and brave the outside conditions above the LHC. Clara can be found at: https://www.claranellist.com
@particleclara on Instagram
@ParticleClara on Youtube

Huge thanks to my Patreon supporters. I could not ask for a better bunch of first-order corrections to my mathematical shenanigans! Patreon: standupmaths

You can find the full, un-cut maths over on my second channel @mattparker2 All the uncut maths for the 'Is Kinetic En...
So much integration, so little time.

CORRECTIONS
10:03 the written workings are missing an m in the first expansion term but it is all present and correct in the graphic a few seconds later

Editing by Gus Melton
Filming by Rhys Jones and Matt Parker
Written and performed by Matt Parker
Produced by Nicole Jacobus
Content wrangling by Rhys Jones
Music by Howard Carter
Design by Simon Wright and Adam Robinson

MATT PARKER: Stand-up Mathematician
Website: http://standupmaths.com/

20 Comments

@kilianortmann9979 2 weeks ago

Newtonian physics is basically the first order polynomial of relativistic physics, which is kind of neat.

@l0zerth 2 weeks ago

Particle physicists:
Numbers too big, we just bang things together as fast as we can and see what happens.

@nicksamek12 2 weeks ago

It’s known as the Parker solar probe because it constantly just misses the sun.

@MateusAntonioBittencourt 2 weeks ago

I loved the "How do you calculate the Kinetic Energy?" "We don't..." Priceless.

@Josh_Fredman 2 weeks ago

Matt: Only people like CERN scientists would need to use this incredibly slow method.
CERN Scientist: We don't use this method because it's too slow.
🤣🤣

@davedavem 2 weeks ago

The beard growing was a genius bit of deliberate discontinuity.

@nucleotide8292 2 weeks ago

"That's significant, for some definition of significant"

Brilliant. I will be using this.

@Yadobler 2 weeks ago

6:03 maybe I'm poor but I cried a bit when I saw the ink didn't bleed into the paper below. Only heard of these in fairy tales

@HiZombies 2 weeks ago

I thought this was a breakthrough in physics but no got tricked by relativity again

@shinyt9003 2 weeks ago

"that's significant for some definition of significant"

@Thesuper997 2 weeks ago

13:20 Lateralus?!?! As a ringtone?!!?
you have made the greatest choice you could've for a ringtone...

@renee61026 2 weeks ago

4:43 okay, no I had NOT forgotten about relativity, and now that you confirm that's what you're talking about, my world can make sense again. Don't scare me like that.

@plukerpluck 2 weeks ago

This was actually something that came up when I was applying to my physics degree and had an interview at the university. I'd been reading "Why does E = MC^2" and it just casually mentioned that your equation approximates to 0.5mv^2. No further explanation, so I brought it up in the interview as to wondering why, and they made me do the expansion on paper in front of them... Was really quite a nice thing to discover, and I think that's what ended up getting me the place.

@gdxnsk 2 weeks ago

13:20 TOOL being your ringtone makes a lot of sense when you think of it but it actually surprised me at first

@CompletelyCr 2 weeks ago

It's not zero... but it's basically pointless.

Parker Maths still going strong!

@rhysduncan8676 2 weeks ago

"is it because of relativity?"
"it's because of relativity"

perfect

@minirop 2 weeks ago

the pokémon you are trying to name is "sudowoodo"

@-ZH 2 weeks ago

Ah, so that’s how kinetic energy diverges a V approaches c

@markhoodauthor 2 weeks ago

I might have been watching Stand-up Maths too long. I wondered if the 'Parker Solar Probe' was just squinting at the sun from your garden.

@jpe1 2 weeks ago

The CERN approach of just measuring experimentally reminds me of one of the interview questions my cousin (a designer of turbines) asked potential new engineers: what is the flow of water through this funnel at STP, and he handed them the physical funnel, and a diagram of all the relevant dimensions of the funnel. The person who did the math correctly might get the job, and the person who poured a measured amount of water into the funnel and timed how long it took to flow out might get the job, but the candidate who did both, using measurements to check the experimental result, would be the front runner for the job.