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Hint: Relation between gravitational force, mass and distance is, Complete step by step solution: (i) If the mass of an object is doubled: (ii) The distance between object is doubled and tripled: (iii) The masses of both objects are doubled: Note: This law is true for each particle of matter, each particle of matter attracts every other particle. Students should use the gravitational force formula carefully and write its term properly. What happens to the gravitational force between two objects if the mass of one object is doubled and the distance between them is also doubled?This question was previously asked in CDS 01/2022: GK Previous Paper (Held On 10 April 2022) View all CDS Papers >
Answer (Detailed Solution Below)Option 3 : The force would be halved Free Electric charges and coulomb's law (Basic) 10 Questions 10 Marks 10 Mins CONCEPT:
\(\Rightarrow F \propto \frac{M_1M_2}{R^2} \Rightarrow F = \frac {GM_1M_2}{R^2} \) Where G = 6.674 × 10-11 m3Kg-1s-2 is a universal constant
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. Last updated on Sep 29, 2022 Union Public Service Commission (UPSC) has released the NDA Result II 2022 (Name Wise List) for the exam that was held on 4th September 2022. Earlier, the roll number wise list was released by the board. A total number of 400 vacancies will be filled for the UPSC NDA II 2022 exam. The selection process for the exam includes a Written Exam and SSB Interview. Candidates who get successful selection under UPSC NDA II will get a salary range between Rs. 15,600 to Rs. 39,100. Stay updated with the Physics questions & answers with Testbook. Know more about Gravitation and ace the concept of Universal law of gravitation. What happens to force when mass is doubled and distance is halved?If the masses of two objects are doubled, and the distance between them is halved, then the gravitational force acting between them becomes. No worries!
What happens to the force when the distance between the masses is doubled?So as two objects are separated from each other, the force of gravitational attraction between them also decreases. If the separation distance between two objects is doubled (increased by a factor of 2), then the force of gravitational attraction is decreased by a factor of 4 (2 raised to the second power).
What if distance between two masses is halved?(b) If we halve the distance between two bodies, then the gravitational force becomes four times.
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