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Two spherical bodies of mass M and 5M & radii R & 2R respectively are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision is
- a)2.5 R
- b)4.5 R
- c)7.5 R
- d)1.5 R
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two spherical bodies of mass M and 5M & radii R & 2R respectiv...
The gravitational force acting on both the masses is the same. We know that
Force = mass × acceleration.
For same force, acceleration 
.....(i)Let t be the time taken for the two masses to collide and x5M, xM be the distance travelled by the mass 5M and M respectively.
For mass 5M 
For mass M
For mass M
Dividing (ii) by (iii)
From the figure it is clear that
x5M+ xM = 9R ....(v)
Where O is the point where the two spheres collide.
From (iv) and (v)
Where O is the point where the two spheres collide.
From (iv) and (v)
∴ 6 xM= 45R 
Most Upvoted Answer
Two spherical bodies of mass M and 5M & radii R & 2R respectiv...
The gravitational force between two objects is given by the equation:
F = G * (m1 * m2) / r^2
Where:
F is the gravitational force between the two objects,
G is the gravitational constant (approximately 6.674 × 10^-11 N*m^2/kg^2),
m1 and m2 are the masses of the two objects, and
r is the distance between the centers of the two objects.
Let's assume that the distance between the centers of the two spherical bodies is d.
For the first spherical body with mass M, the gravitational force it experiences due to the second spherical body with mass 5M is:
F1 = G * (M * 5M) / d^2
= 5GM^2 / d^2
Similarly, for the second spherical body with mass 5M, the gravitational force it experiences due to the first spherical body with mass M is:
F2 = G * (5M * M) / d^2
= 5GM^2 / d^2
Therefore, the gravitational force between the two spherical bodies is the same for both bodies and is given by:
F = 5GM^2 / d^2
F = G * (m1 * m2) / r^2
Where:
F is the gravitational force between the two objects,
G is the gravitational constant (approximately 6.674 × 10^-11 N*m^2/kg^2),
m1 and m2 are the masses of the two objects, and
r is the distance between the centers of the two objects.
Let's assume that the distance between the centers of the two spherical bodies is d.
For the first spherical body with mass M, the gravitational force it experiences due to the second spherical body with mass 5M is:
F1 = G * (M * 5M) / d^2
= 5GM^2 / d^2
Similarly, for the second spherical body with mass 5M, the gravitational force it experiences due to the first spherical body with mass M is:
F2 = G * (5M * M) / d^2
= 5GM^2 / d^2
Therefore, the gravitational force between the two spherical bodies is the same for both bodies and is given by:
F = 5GM^2 / d^2
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Two spherical bodies of mass M and 5M & radii R & 2R respectively are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision isa)2.5 Rb)4.5 Rc)7.5 Rd)1.5 RCorrect answer is option 'C'. Can you explain this answer?
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Two spherical bodies of mass M and 5M & radii R & 2R respectively are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision isa)2.5 Rb)4.5 Rc)7.5 Rd)1.5 RCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two spherical bodies of mass M and 5M & radii R & 2R respectively are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision isa)2.5 Rb)4.5 Rc)7.5 Rd)1.5 RCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two spherical bodies of mass M and 5M & radii R & 2R respectively are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision isa)2.5 Rb)4.5 Rc)7.5 Rd)1.5 RCorrect answer is option 'C'. Can you explain this answer?.
Two spherical bodies of mass M and 5M & radii R & 2R respectively are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision isa)2.5 Rb)4.5 Rc)7.5 Rd)1.5 RCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two spherical bodies of mass M and 5M & radii R & 2R respectively are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision isa)2.5 Rb)4.5 Rc)7.5 Rd)1.5 RCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two spherical bodies of mass M and 5M & radii R & 2R respectively are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision isa)2.5 Rb)4.5 Rc)7.5 Rd)1.5 RCorrect answer is option 'C'. Can you explain this answer?.
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Two spherical bodies of mass M and 5M & radii R & 2R respectively are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision isa)2.5 Rb)4.5 Rc)7.5 Rd)1.5 RCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Two spherical bodies of mass M and 5M & radii R & 2R respectively are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision isa)2.5 Rb)4.5 Rc)7.5 Rd)1.5 RCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Two spherical bodies of mass M and 5M & radii R & 2R respectively are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision isa)2.5 Rb)4.5 Rc)7.5 Rd)1.5 RCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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