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get the gravitational force between two objects is f if masses of both objects are halved from screen. The gravitational force between two objects is F. If both of their masses are halved without altering the distance between them, the new gravitational force between them would be:A. F/4B. 2 FC. F /2D. 4 FThe gravitational force between two objects is F. If both of their masses are halved without altering the distance between them, the new gravitational force between them would be:A. F/4B. 2 FC. F /2D. 4 F  Home > The gravitational force between two objects is F. If both of their masses are halved without altering the distance between them, the new gravitational force between them would be:A. F/4B. 2 FC. F /2D. 4 F Question The gravitational force between two objects is F . If both of their masses are halved without altering the distance between them, the new gravitational force between them would be: A F 4 B 2 F C F 2 D 4 F Solution The correct option is A F 4 The gravitational force, F between two bodies, m 1 and m 2 seperated by distance d is given by, F = G m 1 m 2 d 2 , where G is the gravitational constant. So, when the masses are halved, the new gravitaional force, F n e w becomes : F n e w = G m 1 2 m 2 2 d 2 ⟹ F n e w = G m 1 m 2 4 d 2 ∴ F n e w = F 4 . Physics Suggest Corrections 49 SIMILAR QUESTIONS Q. Question 3The gravitational force between two objects is F. If masses of both objects are halved without changing distance between them, then the gravitational force would become (a) F 4 (b) F 2 (c) F (d) 2 F Physics Q. The gravitational force between two objects is 'F'. If masses of both objects are halved without changing distance between them, then the gravitational force would becomePhysics स्रोत : byjus.com The gravitational force between two objects is F . If masses of both objects are halved without changing distance between them, then the gravitational force would becomeClick here👆to get an answer to your question ✍️ The gravitational force between two objects is F . If masses of both objects are halved without changing distance between them, then the gravitational force would become Question The gravitational force between two objects is F. If masses of both objects are halved without changing distance between them, then the gravitational force would becomeAF/4BF/2CFD2FMedium Open in App Solution Verified by Toppr Correct option is A) Explanation: Gravitational force between two objects varies directly as their masses and inversely as the square of the distance between them. So, when the masses of both objects are halved without changing the distance, the gravitational force between them would become one-fourth of the original value. Was this answer helpful? 201 34 स्रोत : www.toppr.com [Solved] The gravitational force between two objects is F. If massesCONCEPT: Law of Universal Gravitation: It states that all objects attract each other with a force that is proportional to the masses of Home Physics Gravitation Universal law of gravitation QuestionDownload Solution PDF The gravitational force between two objects is F. If masses of both objects are halved without changing distance between them, then the gravitational force would becomeF / 4 F / 2 F 2 F Answer (Detailed Solution Below)Option 1 : F / 4 Detailed SolutionDownload Solution PDF CONCEPT: Law of Universal Gravitation: It states that all objects attract each other with a force that is proportional to the masses of two objects and inversely proportional to the square of the distance that separates their centres. It is given mathematically as follows: F=Gm1m2R2 Where m1 and m2 are the mass of two objects, G is the gravitational constant and R is the distance between their centres. CALCULATION:So, the force between two objects is given as F=Gm1m2R2 -- (1) If both masses are halved, then the force becomes F′=G(m1/2)(m2/2)R2=G(m1)(m2)(2×2)R2 ⟹F′=14G(m1)(m2)(R2) --- (2) Putting (1) in (2) F' = F / 4 So, the correct option is F / 4.Important PointsThe gravitational constant G establishes a relationship between gravitational force, mass, and distance. The value of G is 6.67 × 10-11 N kg-2 m2. Download Solution PDF Share on Whatsapp Ace your Gravitation preparations for Universal law of gravitation with us and master Physics for your exams. Learn today! 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 2,87,15,271+ Students ‹‹ Previous Ques Next Ques ›› More Universal law of gravitation QuestionsQ1. Read the following statements: A. If the value of the universal gravitational constant of the earth is Ge, then the value of the universal gravitational constant of the moon is Gm, then Ge = Gm B. The force between two objects will be one-fourth of the mass of both objects is doubled. C. If the value of the universal gravitational constant on the earth is Ge and the value of the universal gravitational constant on the moon is Gm, then Ge > Gm D. The acceleration due to gravity is doubled everywhere. Which of these statements is correct.Q2. Gravitational acceleration 'g' does not depend on ________.Q3. If a body is projected vertically upward, what will be the velocity of the body at the highest point of motion? (g = acceleration due to gravity, h = height, t = time)Q4. Which of the following is not a characteristic of gravitational forceQ5. Which of the following is NOT correct ?Q6. Two bodies P and Q are moving towards each other due to their gravitational attraction force. The acceleration of the body Q is 4 m/sec2. If the ratio of the mass of body P to body Q is 1 : 2, then find the acceleration of body P.Q7. If the distance between earth and sun becomes 3 times then the gravitational force between them will become-Q8. The law of gravitation is applicable for-Q9. How the acceleration due to gravity (g), and Universal gravitational constant (G), will change as we go to higher altitudes from earth?Q10. The percentage change in Gravitational force between two objects if the distance between them is halved is ________More Gravitation QuestionsQ1. Gravitational law of attraction is given by:Q2. Read the following statements: A. If the value of the universal gravitational constant of the earth is Ge, then the value of the universal gravitational constant of the moon is Gm, then Ge = Gm B. The force between two objects will be one-fourth of the mass of both objects is doubled. C. If the value of the universal gravitational constant on the earth is Ge and the value of the universal gravitational constant on the moon is Gm, then Ge > Gm D. The acceleration due to gravity is doubled everywhere. Which of these statements is correct.Q3. The value of acceleration due to gravity on the Moon is how many times the value of acceleration is due to gravity on Earth?Q4. Gravitational force exists between ________ objects, but it cannot be felt unless the mass of the objects is very high, such as in planets.Q5. The motion of the moon around the earth is due to ________-Q6. Gravitational acceleration 'g' does not depend on ________.Q7. The value of 'g' increases with ________-Q8. In an elevator, the actual weight of a person is equal to the apparent weight when:Q9. If a body is projected vertically upward, what will be the velocity of the body at the highest point of motion? (g = acceleration due to gravity, h = height, t = time)Q10. The value of 'g' is ________-स्रोत : testbook.com
Do you want to see answer or more ? Text Solution F/4F/2F2F Answer : A Solution : We know that, according to force of gravitation <br> `F=(gm_(1)m_(2))/(r^(2))(G="Gravitational constant")` <br> Where `m_(1) and m_(2)` are the masses of two objects respectively. And r is the distance between the two masses <br> Now, according to the question, if masses of both objects are halved, <br> i.e., `" "m_(1)^(')=(m_(1))/(2) and m_(2)^(')=(m_(2))/(2)` <br> New force `" "F^(')=(Gm_(1)^(')m_(2)^('))/(r^(2))=(G(m_(1))/(2)(m_(2))/(2))/(r^(2))` <br> `" "=(1)/(4)(Gm_(1)m_(2))/(r^(2))=(F)/(4) "where" (Gm_(1)m_(2))/(r^(2))=F` <br> So, new force `" "F^(')=(F)/(4)` <br> Thus, the new gravitational force will become `(1)/(4)` times of its original gravitational forcs. |
The gravitational force between two objects is f. if masses of both objects are halved without
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