Two spherical bodies of mass M and 5M & ...

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 12R. If they attract each other due to gravitational force only, then the distance covered by the smallar body just before collision is

1.5 R

2.5 R

4.5 R

7.5 R

Text Solution

Verified by Experts

The correct Answer is:

Initially
`Mx=5M(12-x)impliesx=10R`
Finally
`Mx=5M(3R-x)`
`x=2.5R`
Distance travelled by smaller block =10R-2.5R=7.5R

Topper's Solved these Questions

TEST PAPERS
FIITJEE|Exercise PHYSICS|747 Videos
SIMPLE HARMONIC MOTION
FIITJEE|Exercise Assignment Problems (Objective) (Level-II)|20 Videos
WORK, ENERGY AND POWER
FIITJEE|Exercise COMPREHENSIONS ( Comprehension-II)|5 Videos

Similar Questions

Explore conceptually related problems

Two spherical bodies of masses m and 5m and radii R and 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, the distance covered by smaller sphere just before collision is

Two spherical bodies of masses m and 4 m and radii R and 2R respectively are released in free space with initial separation between their centres equal to 15 R. If they attract each other due to gravitational force only, then the distance covered by smaller sphere just before collision will be

Two spherical bodies of masses m and 5 m and radii R and 2R respectively are released in free space with initial separation between their centres equal to 12R. If they attract each other due to gravitational force only then find the distance covered by smaller sphere just before collision

Two spherical bodies of masses m and 6m and radii R and 2R respectively are released in free space with initial separation between their centres equal to 10 R . If they attract each other due to gravitational force only , then the distance covered by smaller sphere just before collisions will be

Two lead balls of masses m and 5m having radii R and 2R are separated by 12R . If they attract each other by gravitational force, the distance covered by small sphere before they touch each other is

Two identical spheres each of mass M and radius R are separated by a distance 3R. The force of attraction between them is proportional to

Two particles of mass m_(1) and m_(2) , approach each other due to their mutual gravitational attraction only. Then

FIITJEE-TEST PAPERS-PHYSICS

A body of mass 1kg is suspended from a weightless spring having force ...
Text Solution
|
The figure shows a system of two concentric spheres of radii r1 and r2...
Text Solution
|
Two spherical bodies of mass M and 5M & radii R & 2R respectively are ...
Text Solution
|
A tunnel is dug along a chord of the earth at a perpendicular distance...
Text Solution
|
Two longitudinal waves propagating in the X and Y directions superimpo...
Text Solution
|
the total flux of electric lines of forces of a charge q placed at the...
Text Solution
|
As situation shown in figure the maximum value of rate of energy store...
Text Solution
|
If vector P, Q and R have magnitude 5,12,and 13 units and vec(P)+vec(Q...
Text Solution
|
A particle is projected from gound At a height of 0.4 m from the groun...
Text Solution
|
Forces acting on a particle moving in a straight line varies with the ...
Text Solution
|
The spring balance A reads 2 kg with a block m suspended from it. A ba...
Text Solution
|
A massless Rod AB is hinged at point A. At point P, it is connected by...
Text Solution
|
A block of mass is connected to an ideal spring of stiffness K(1) on l...
Text Solution
|
Two mass m(1)&m(2) are initially placed at rest inside two smooth tunn...
Text Solution
|
For a damped oscillator which follow the equation vecF=-kvecx-bvecV ...
Text Solution
|
A planet of mass m moves in an elliptical orbit around sun with sun at...
Text Solution
|
An object of mass is projected from center of earth along a smoot tunn...
Text Solution
|
Two trains A and B each of mass m are moving on a longitude of a spher...
Text Solution
|
A mass m of volume V=10cm^(2) is tied with a string to the base of a c...
Text Solution
|
One end of a uniform stick having length l=1m is hung from a string as...
Text Solution
|