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Timeline for How does gradient give $g$?

Current License: CC BY-SA 4.0

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Dec 15, 2020 at 19:15 answer added R.W. Bird timeline score: 0
Dec 14, 2020 at 16:19 answer added The_Sympathizer timeline score: 2
Dec 14, 2020 at 15:46 vote accept protectgoodlivingbeingask
Jan 15, 2022 at 23:58
Dec 14, 2020 at 15:24 comment added protectgoodlivingbeingask Yes I knew that.
Dec 14, 2020 at 15:24 comment added protectgoodlivingbeingask Ok now I understand.Yes I know I should have studied it a bit more before asking but .
Dec 14, 2020 at 15:22 comment added Vulgar Mechanick are you aware how potential energy is defined for a general conservative force?
Dec 14, 2020 at 14:52 comment added Nihar Karve I believe OP is asking this having seen that given a spherically potential: $V(r) = -\frac{GM}{r}$, the gravitational field strength is $\frac{GM}{r^2}$ - OP, please note that this is just a special case of $\nabla V$ = $\frac{\partial}{\partial r}V(r) =\frac{GM}{r^2}$, the former formula does not hold for general $V$
Dec 14, 2020 at 14:04 comment added protectgoodlivingbeingask As I am new to calculus could you please elaborate why I cannot just divide v by r=$\sqrt{x^2+y^2+z^2}$ and instead $\nabla V to g$.
Dec 14, 2020 at 14:04 answer added Karol timeline score: 2
Dec 14, 2020 at 14:01 comment added Charlie The gravitational force is a conservative vector field so it can be written as the gradient of a potential function.
Dec 14, 2020 at 13:51 history edited Qmechanic CC BY-SA 4.0
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Dec 14, 2020 at 13:44 comment added protectgoodlivingbeingask Here V varies with distance from (0,0,0).
Dec 14, 2020 at 13:43 history asked protectgoodlivingbeingask CC BY-SA 4.0