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Kepler's Law

in a hypothet...

Question

in a hypothetical new system of measurement, the gravitational force between two particles,each of mass 1 kg,separate by 1 km is taken as a unit of force.let this called "nuton".how many "Newton" will there be in one "nuton"?

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Solution

$F = \frac{G m M}{r^{2}} M = m = 1 k g r_{1} = 1 m r_{2} = 1 k m = 1000 m F_{1} = G N e w t o n F_{2} = \frac{G}{(1 k m)^{2}} n u t o n t h e r e f o r e 1 N = 10^{6} n u t o n$

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