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m,m2 F = G= r2

m,m2 F = G= r2

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Dimensional analysis: Show the derivation for the value of acceleration due to gravity (g) by equating the equations of force m,m2 F = G r2 By considering the following relations and constants below: • F = mg (weight) G = 6.67 x 10-11 Nm2/kg? m = m1 m2 = mẹ = 5.97 x 1024 kg (mass of the Earth) • r = 6.37 x 106 m (Earth's radius) Find and check whether the derived equation is dimensionally correct. Hint: g = 9.8 m/s? %3D
Transcribed Image Text:Dimensional analysis: Show the derivation for the value of acceleration due to gravity (g) by equating the equations of force m,m2 F = G r2 By considering the following relations and constants below: • F = mg (weight) G = 6.67 x 10-11 Nm2/kg? m = m1 m2 = mẹ = 5.97 x 1024 kg (mass of the Earth) • r = 6.37 x 106 m (Earth's radius) Find and check whether the derived equation is dimensionally correct. Hint: g = 9.8 m/s? %3D
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