As the distance between two bodies increases the intensity of gravitational force decreases by a factor of 1/r2, where r = distance between two bodies. The whole business of gravitational force was first put forward by great scientist Sir Isaac Newton. According to his Law of gravitation, the force acting between two bodies is given by F = m1m2/r2 where m1 = mass of object 1 m2 = mass of object 2
Option 3 : The force would be halved
Free
10 Questions 10 Marks 10 Mins
CONCEPT:
- Newton's law of gravitation states that any two bodies having masses (m1 and m2) keeping at a distance (r) from each other exerts a Force of attraction on each other.
- This force is directly proportional to the masses of bodies and inversely proportional to the square of the distance between them.
\(\Rightarrow F \propto \frac{M_1M_2}{R^2} \Rightarrow F = \frac {GM_1M_2}{R^2} \)
Where G = 6.674 × 10-11 m3Kg-1s-2 is a universal constant
- The dimension of the force is MLT-2 and the SI unit is Newton (N).
CALCULATION:
Given: Mass of the one body (M1) = M, Mass of the another body (M2) = 2M, initial distance = R, Final distance = 2R,F = Initial Force, F' = Final force
M1 = M, M2 = 2M, R' = 2R
\(\Rightarrow F \propto \frac{M_1M_2}{R^2}\)
\(F'=\frac{GM_1M_2}{R'^2} =\frac{G M_1(2M_2)}{(2R)^2}=\frac {2GM_1M_2}{4R^2}=\frac {1}{2}F\)
Hence, the Force would be halved is the correct answer.
Stay updated with the Physics questions & answers with Testbook. Know more about Gravitation and ace the concept of Universal law of gravitation.
India’s #1 Learning Platform
Start Complete Exam Preparation
Daily Live MasterClasses
Practice Question Bank
Mock Tests & Quizzes
Get Started for Free Download App
Trusted by 3.3 Crore+ Students
In order to continue enjoying our site, we ask that you confirm your identity as a human. Thank you very much for your cooperation.