Question:
Gravitational force acts on a particle due to fixed uniform solid sphere. Neglect other forces. Then particle
Gravitational force acts on a particle due to fixed uniform solid sphere. Neglect other forces. Then particle
Updated On: Jun 20, 2022
- experiences a force directed along the radial direction only.
- always moves normal to the radial direction
- always moves in the radial direction only.
- always moves in circular orbit
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The Correct Option is A
Solution and Explanation
Circular motion is a special case in gravitational field. There may be straight line,elliptical paths, but force will be always directed toward the centre of the sphere.
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Concepts Used:
Newtons Law of Gravitation
Gravitational Force
Gravitational force is a central force that depends only on the position of the test mass from the source mass and always acts along the line joining the centers of the two masses.
Newton’s Law of Gravitation:
According to Newton’s law of gravitation, “Every particle in the universe attracts every other particle with a force whose magnitude is,
- Directly proportional to the product of their masses i.e. F ∝ (M1M2) . . . . (1)
- Inversely proportional to the square of the distance between their center i.e. (F ∝ 1/r2) . . . . (2)
By combining equations (1) and (2) we get,
F ∝ M1M2/r2
F = G × [M1M2]/r2 . . . . (7)
Or, f(r) = GM1M2/r2 [f(r)is a variable, Non-contact, and conservative force]