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:
Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
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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bulleted
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1. numbered 2. list
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Note: you must add a full line of space before and after lists for them to show up correctly
# I indented these lines
# 4 spaces, and now they show
# up as a code block.
print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.
print "hello world"
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
Ok let's assume the earth travels in a circular path. To calculate the net centripetal force on the earth assuming the earth is in between the sun and moon, we must use universal gravitation.
ΣF=r12Gmsunmearth−r22Gmearthmmoon
Even though the distance of the moon to the earth is much smaller, the mass of the sun is much greater, so the gravitational force the sun exerts is greater. Hence there is a net centripetal force acting on the earth in the direction of the sun
Obviously the sun has more mass than the moon (so much that despite the distance, the sun has a stronger gravitational pull), therefore the earth will revolve around the sun (as does the moon).
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# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"\(...\)or\[...\]to ensure proper formatting.2 \times 32^{34}a_{i-1}\frac{2}{3}\sqrt{2}\sum_{i=1}^3\sin \theta\boxed{123}Comments
Ok let's assume the earth travels in a circular path. To calculate the net centripetal force on the earth assuming the earth is in between the sun and moon, we must use universal gravitation.
ΣF=r12Gmsunmearth−r22Gmearthmmoon
Even though the distance of the moon to the earth is much smaller, the mass of the sun is much greater, so the gravitational force the sun exerts is greater. Hence there is a net centripetal force acting on the earth in the direction of the sun
Obviously the sun has more mass than the moon (so much that despite the distance, the sun has a stronger gravitational pull), therefore the earth will revolve around the sun (as does the moon).
another thing is that as earth goes around the sun, it is also 'swinging' around its orbit.