This discussion board is a place to discuss our Daily Challenges and the math and science
related to those challenges. Explanations are more than just a solution — they should
explain the steps and thinking strategies that you used to obtain the solution. Comments
should further the discussion of math and science.
When posting on Brilliant:
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Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.
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Math
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Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3
2×3
2^{34}
234
a_{i-1}
ai−1
\frac{2}{3}
32
\sqrt{2}
2
\sum_{i=1}^3
∑i=13
\sin \theta
sinθ
\boxed{123}
123
Comments
In a word- no.
If something is moving and if it is undisturbed, it'll keep moving at a uniform speed in a straight line forever. No force is required to maintain motion.
However this statement is pretty much impossible to verify experimentally. Try to roll a pen on a table. It will eventually stop moving. Why? Because it is not undisturbed. It is rubbing against the table. This rubbing introduces a force on the pen - friction. Friction acts in the opposite direction of motion, slows the pen down and eventually makes it halt.
If you could have a frictionless table surface, the pen would keep moving in a straight line forever. You wouldn't need to apply force on it to keep it in motion (you could apply force on it; that would cause the pen to speed up).
Hope this helps!
EDIT: I just re-read your question. And now I'm confused. Is your question: 'Is it necessary to keep a body in motion?' or 'Is it necessary to apply force to keep a body in motion?' ? I have answered the latter.
If you want the answer to the former question, I'd say: no. If you want to keep a body in motion, keep it in motion. If you don't then don't. It is not necessary to keep a body in motion. :)
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
*italics*
or_italics_
**bold**
or__bold__
paragraph 1
paragraph 2
[example link](https://brilliant.org)
> This is a quote
\(
...\)
or\[
...\]
to ensure proper formatting.2 \times 3
2^{34}
a_{i-1}
\frac{2}{3}
\sqrt{2}
\sum_{i=1}^3
\sin \theta
\boxed{123}
Comments
In a word- no.
If something is moving and if it is undisturbed, it'll keep moving at a uniform speed in a straight line forever. No force is required to maintain motion.
However this statement is pretty much impossible to verify experimentally. Try to roll a pen on a table. It will eventually stop moving. Why? Because it is not undisturbed. It is rubbing against the table. This rubbing introduces a force on the pen - friction. Friction acts in the opposite direction of motion, slows the pen down and eventually makes it halt.
If you could have a frictionless table surface, the pen would keep moving in a straight line forever. You wouldn't need to apply force on it to keep it in motion (you could apply force on it; that would cause the pen to speed up).
Hope this helps!
EDIT: I just re-read your question. And now I'm confused. Is your question: 'Is it necessary to keep a body in motion?' or 'Is it necessary to apply force to keep a body in motion?' ? I have answered the latter.
If you want the answer to the former question, I'd say: no. If you want to keep a body in motion, keep it in motion. If you don't then don't. It is not necessary to keep a body in motion. :)
It of course depends on the body's former state.