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# Solved Example Problems: Superposition principle for Gravitational field

Physics : Gravitation - Solved Example Problems: Superposition principle for Gravitational field

### EXAMPLE 6.3

a) Two particles of masses m1 and m2 are placed along the x and y axes respectively at a distance ŌĆśaŌĆÖ from the origin. Calculate the gravitational field at a point P shown in figure below. Solution

Gravitational field due to m1 at a point P is given by, Gravitational field due to m2 at the point p is given by, The direction of the total gravitational field is determined by the relative value of m1 and m2.

When m1 = m2 = m (i╦å + j╦å = j╦å + i╦å as vectors obeys commutation law).  total points  towards  the  origin  of  the co-ordinate system and the magnitude of total is Gm/a2

### EXAMPLE 6.4

Qualitatively indicate the gravitational field of Sun on Mercury, Earth, and Jupiter shown in figure.

Since the gravitational field decreases as distance increases, Jupiter experiences a weak gravitational field due to the Sun. Since Mercury is the nearest to the Sun, it experiences the strongest gravitational field. Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail
11th Physics : UNIT 6 : Gravitation : Solved Example Problems: Superposition principle for Gravitational field |