Gravitation Question 313

Question: If masses of two point objects is doubled and distance between them is tripled, then gravitational force of attraction between them will nearly

Options:

A) Increase by 225%

B) decrease by 44%

C) Decrease by 56%

D)increase by 125%

Show Answer

Answer:

Correct Answer: C

Solution:

  • % change $ [=\frac{\left[ \frac{G\left( 2m_{1} \right)\left( 2m_{2} \right)}{{{\left( 3r \right)}^{2}}}-\frac{Gm_{1}m_{2}}{r^{2}} \right]}{\frac{Gm_{1}m_{2}}{r^{2}}}\times 100] $ $ [\frac{\frac{4}{9}-1}{1}\times 100=-56%] $ -ve sign indicates that force of attraction decreases.


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