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Q9 P

Physics For Scientists & Engineers
Found in: Page 439

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Short Answer

Two objects attract each other with a gravitational force of a magnitude 1.00×10-8 Nwhen separated by 20.0 cm. If the total mass of the two objects is 5.00 kg, what is the mass of each?

The masses of objects are m1=3.00kgand m2=2.00kg .

See the step by step solution

Step by Step Solution

Step 1: Newton’s Law

Newton’s law of universal gravitation states that the gravitational force of attraction between any two particles of masses M1and M2 separated by a distance r has the magnitude:


Where, G=6.674×10-11 N·m2/kg2 is the universal gravitational constant. This equation enables us to calculate the force of attraction between masses under many circumstances.

Step 2: Given

Gravitational force: Fg=1.00×10-8N

Distance between two objects: r=20 cm=0.2 m

Step 3: Find the masses

We find the reason for the above question by finding the mass of sphere.

Let suppose the first mass m1,is and the other mass will be m2=5-m1,

According to Newton’s law of universal gravitation, we have


On simplifying and solving, we get,


Hence, the masses of objects are m1=3.00kg and m2=2.00kg.

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