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Svetllana [295]

3 years ago

9

T²= 4π² (M+m) ÷ ug

1 answer:

inessss [21]3 years ago

6 0

Starting with ...

$T^2=\dfrac{4\pi^2(M+m)}{ug}$

1) Multiply by the inverse of the coefficient multiplying the sum with M, then subtract m.

$\dfrac{T^2ug}{4\pi^2}=M+m\\\\M=\dfrac{T^2ug}{4\pi^2}-m$

2) Multiply by g/T²

$g=\dfrac{4\pi^2(M+m)}{T^2u}$

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Step-by-step explanation:

step 1

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step 2

Find the slope of the perpendicular line to segment HI

we know that

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we have

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we know that

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step 4

we know that

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step 5

Convert to slope intercept form

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step 6

Convert to standard form

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see the attached figure to better understand the problem

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