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A 4 kg book and a 7 kg lamp are both in the living room. If the force of gravity between them is 2.99x10^-10 N. How far apart are they? A. 1.8 m B. 6.3 m

A 4 kg book and a 7 kg lamp are both in the living room. If the force of gravity between them is 2.99x10^-10 N. How far apart are they? A. 1.8 m B. 6.3 m C. 2.1 m D. 2.5 m
Force of gravity = 'G' (mass₁)(mass₂) / (distance)²'G' is the gravitational constant for SI units =  6.67 x10⁻¹¹ newton-meter²/kg²You said that the force is          2.99 x 10⁻¹⁰ = (6.67x10⁻¹¹) (4) (7) / D²Multiply each side by D² :    2.99 x 10⁻¹⁰ D²  =  (6.67x10⁻¹¹) (28)Divide each side by  2.99 x 10⁻¹⁰  :          D² = (28) (6.67 x10⁻¹¹) / (2.99 x 10⁻¹⁰)Take the square root of each side:      D = square root of all thatStuff it through my calculator:                               D = square root of  [  (28) (6.67 x10⁻¹¹) / (2.99 x 10⁻¹⁰)  ] =                                  √ ( 6.2462...) meters²  =                                          2.5 meters  (rounded)===================To get the feel:-- The book weighs about    8.8  pounds  (big book)-- The lamp weighs about  15.4  pounds-- They're about 8.2 feet apart.-- The strength of the gravitational force            between them is about                  0.000 000 001 075 of an ounce . ...

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