/sci/ - Science & Math » Thread #14155559

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The relationship between velocity squared and gravitational potential energy

ke energy formula Thu 27 Jan 18:00:29 2022 No.14155559 View Reply Original Report

Quoted By: >>14155709

Is this a real way to derive kinetic energy.

I hope you'll read what's in the picture and tell me what the logic in this is.

Is this just a coincidence? And why square velocity has a linear relationship with gravity. Also,

why write velocity in reverse because it is supposed to increase with decreasing weight and height.

or Is this just bullshit. by my retarded third world school

Anonymous

Anonymous Thu 27 Jan 2022 18:41:45 No.14155709 Report

Quoted By: >>14155714 >>14155905

>>14155559
$\text{change in kinetic energy of body}=\text{work done on body}=dW=\mathbf{F}\cdot d\mathbf{r}=m\frac{d\mathbf{v}}{dt}\cdot\frac{d\mathbf{r}}{dt}dt=m\frac{d\mathbf{v}}{dt}\cdot\mathbf{v} dt=m\mathbf{v}\cdot d\mathbf{v}=d\left(\frac{1}{2}m(\mathbf{v}\cdot\mathbf{v})\right)=d\left(\frac{1}{2}mv^2\right)$ therefore (change in kinetic energy)=(change in quantity mv^2/2), therefore for a particle starting from rest, $\text{kinetic energy}=\text{work}=\frac{1}{2}mv^2$
this was nothing but elementary newtonian mechanics and some calculus. you SOULD be able to do this.
>Is this just a coincidence?
no you absolute schizo read a book, fuck that shitty technobabble you posted

Anonymous

Anonymous Thu 27 Jan 2022 18:42:52 No.14155714 Report

Quoted By:

>>14155709
btw I assumed mass is constant (which it is)

ke energy formula

ke energy formula Thu 27 Jan 2022 19:49:44 No.14155905 Report

Quoted By:

>>14155709
thanks

Anonymous

Anonymous Thu 27 Jan 2022 20:00:40 No.14155939 Report

Quoted By:

No no no... Force is not with you.

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