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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 Nov 29, 2022 Union Public Service Commission (UPSC) has released the NDA Result I 2022 (Name Wise List) for the exam that was held on 10th April 2022. 519 candidates have been selected provisionally as per the results. The selection process for the exam includes a Written Exam and SSB Interview. Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100. It is expected that a new notification for UPSC NDA is going to be released. Let's discuss the concepts related to Gravitation and Universal law of gravitation. Explore more from Physics here. Learn now! What happens to the force between two objects if both the masses are doubled?Hence, if the masses of both objects is doubled the force of attraction will become 4 times of its original value.
How does the force of gravity between two masses change if one of the masses is quadrupled?The gravitational force between two masses is directly proportional to each of the two masses. If one of the masses is quadrupled, the the force is multiplied by four; if both masses are quadrupled, then the force is multiplied by sixteen.
What happens to the gravitational force between two objects if mass of one of the object is halved class 9?Expert-verified answer
Gravitational force decreases by half when the mass of one object is halved.
How would the gravitational attraction between two objects change if the mass of one of the objects decreased?It becomes weaker and weaker.
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