Force or potential energy of masses at the corners of a square
This type of question, asked 4 times: 2021 Paper 20, 27 Jun 2022, 31 Jan 2024, 22 Jan 2026 S1. All 4 questions below, oldest first.
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Question 1
2021 Paper 20
21A body of mass (2M) splits into four masses , which are rearranged to form a square as shown in the figure. The ratio of for which, the gravitational potential energy of the system becomes maximum is . The value of is.Question 2
27 Jun 2022
96Four spheres each of mass form a square of side (as shown in figure). A fifth sphere of mass is situated at the centre of square. The total gravitational potential energy of the system is:Tap an option to check your answer.
Question 3
31 Jan 2024
7Four identical particles of mass are kept at the four corners of a square. If the gravitational force exerted on one of the masses by the other masses is , the length of the sides of the square isTap an option to check your answer.
Question 4
22 Jan 2026 S1
10Net gravitational force at the centre of a square is found to be when four particles having mass and are placed at the four corners of the square as shown in figure and it is when the positions of and are interchanged. The ratio is . The value of is .Tap an option to check your answer.