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**Introductory Exercise 10.1**

**Ques 1: Calculate the change in the value of g at altitude 45Â°. Take radius of earth = 6.37 Ã— 10 ^{3} kmSol: **

= g -0.0168 m/s^{2}

Dg = g-g' = 0.0168 m/s^{2 }**Ques 2: Determine the speed with which the earth would have to rotate on its axis, so that a person on the equator would weigh 3/5th as much as at present. Take R = 6400 kmSol:**

Sol:

Sol:

Sol:

**Introductory Exercise 10.2**

**Ques 1: A particle of mass m is placed at the centre of a uniform spherical shell of same mass and radius R. Find the gravitational potential at a distance R/2 from the centre.Sol:**

V = V

Sol:

200 N/kg

Sol:

Sol:

Find the work done by the gravitational field when a particle of mass 1 kg is moved on the line 3y + 2x = 5 from (1 m, 1 m) to (-2 m, 3 m).

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