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Two spherical bodies of mass M and 5M and radii R and 2R respectively are released in free space with initial separation between their centers equal to 12R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision is ?

Two spherical bodies of mass M and 5M and radii R and 2R respectively are released in free 
space with initial separation between their centers equal to 12R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before 
collision is  ?

Grade:12th pass

3 Answers

Aziz Alam IIT Roorkee
askIITians Faculty 232 Points
9 years ago
Please have a look into the solution.

229-1870_Collision.PNG
Fayiza
13 Points
7 years ago
Since there is no external force acting on the system of two masses M &5M ,thus COM will remain unaltered.COM will be0.m +5m.12R\6m=10RThus COM is at distance 10R which remain unchanged before and after collision .At collision centre of spherical mass will be 3R apart from each other .Now let the collision takes place at distance x from the origin After collisionmx + 5m(x+3R)\6m=10R6x + 15R=60R6x= 45Rx= 7.5R
Kajal Goyal
15 Points
4 years ago
Suppose thetsmaller boby cover a distance x before collision then ,or
 
Mx =5M(9R_x)
X=45R-5x
X=45R/6
X= 7.5R

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