Ncert Exercises & Solutions

The centre of mass of an extended body on the surface of the earth and its centre of gravity:

a.	are always at the same point for any size of the body.
b.	are always at the same point only for spherical bodies.
c.	can never be at the same point.
d.	is close to each other for objects, say of sizes less than 100 m.
e.	both can change if the object is taken deep inside the earth.

Choose the correct alternatives:

1. (a, c)

2. (a, d)

3. (d) only

4. (c, d)

(3) Hint: Recall the definition of the centre of mass and the centre of gravity.

For small objects, say of sizes less than 100 m centres of mass is very close to the body's centre of gravity. But when the size of the object increases, its weight changes and its CM and CG become far from each other.

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