Option 3 : One ninth of previous force
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The correct answer is option 3) i.e. One-ninth of the previous force
CONCEPT:
- Newton's universal law of gravitation: Every object in the universe attracts every other object with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them i.e.
\(F = \frac{Gm_{1}m_{2}}{r^{2}}\)F=Gm1m2r2
Where, F = Force of gravitation between the objects m1 = Mass of one of the objects m2 = Mass of the second object, r = Distance between the centres of the two objects, G = Universal gravitational constant
EXPLANATION:
- The gravitational force between two objects is inversely proportional to the square of the distance between them.
- If the distance is increased, the force reduces.
CALCULATION:
Let, the mass of the two bodies be m1 and m2 respectively and the distance between their centers be r.
Then, the gravitational force between them is given by:
\(F = \frac{Gm_{1}m_{2}}{r^{2}}\)
Now, when the distance between them is made three times, the gravitational force will be:
\(F^{'} = \frac{Gm_{1}m_{2}}{(3r)^{2}}\)
⇒\(F^{'} = \frac{Gm_{1}m_{2}}{9r^{2}}\)
⇒\(F^{'} = \frac{F}{9}\)
Let's discuss the concepts related to Gravitation and Universal law of gravitation. Explore more from Physics here. Learn now!
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