﻿ Two spherical bodies of masses M and 5M and radii R and 2R 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 before collision is from Physics Gravitation Class 11 Manipur Board

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Two spherical bodies of masses M and 5M and radii R and 2R 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 before collision is

• 2.5 R

• 4.5 R

• 7.5 R

• 1.5 R

C.

7.5 R

Suppose, the smaller body cover a distance x before collision, then

Mx = 5M (9R-x)
Or,
x= 45R- 5x
Or,
x = 45 R\6 = 7.5 R

Suppose, the smaller body cover a distance x before collision, then

Mx = 5M (9R-x)
Or,
x= 45R- 5x
Or,
x = 45 R\6 = 7.5 R

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The position co-ordinates of two particles of masses m1 and m2are (x1, y1, z1) and (x2, y2, z2) respectively. Find the coordinates of the centre of mass.

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Let the position coordinates of the centre of mass be (X, Y, Z).

Therefore the position vector of centre of mass is,

Since,

Comparing the coefficients of  , we get

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