Using dimensional analyisis to verify formulae

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SUMMARY

The discussion centers on using dimensional analysis to validate the formula for gravitational force between two masses, m and M, separated by a distance r. The two proposed formulas are (a) FG = G m M / r^2 and (b) FG = G m M ./ r. The gravitational constant G has units of (m^3s^-2kg^-1). Dimensional analysis confirms that formula (a) is correct, as it yields consistent units of force (kg·m/s²), while formula (b) does not match the required units.

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BogMonkey
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Heres a question I never figured out.

"Using dimensional analysis, determine which formula (a) or (b) is correct for the description of the force due to gravity between a body of mass m (kg) and another of mass M (kg) separated by a distance of r (m). The gravitational constant G has units (m^3s^-2kg^-1)
(a) FG = G m M / r^2 (b) FG = G m M ./ r"

I've been looking up dimensional analysis but can't find any information relating to validating formulae.
 
Physics news on Phys.org
For an equation to be physically meaningful, the units on each side must match. Check the units in these two and see what you find.
 

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