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JenniferSmart1

  • one year ago

The force of gravity varies inversely with the square of the distance between given planet and the sun because \[F_g=\frac{GMm}{r^2}\]

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  1. JenniferSmart1
    • one year ago
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    @Jemurray3

  2. JenniferSmart1
    • one year ago
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    what is the "varies" symbol again? \[F\;\;\; \frac 1{r^2}\]

  3. Jemurray3
    • one year ago
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    \[ \propto \] \propto which is short for "proportional to"

  4. JenniferSmart1
    • one year ago
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    "varies inversely" means proportional to \(\frac 1 r\) correct? \(\frac 1 {r^2}\)

  5. Jemurray3
    • one year ago
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    if A varies inversely with B, you say \[ A \propto \frac{1}{B} \] here, you're saying "The force (A) is varies inversely with the square of the distance (B)". So A is the force, and B is r^2. \[ F \propto \frac{1}{r^2} \]

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