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Q4 CQ

Expert-verifiedFound in: Page 409

Book edition
9th Edition

Author(s)
Raymond A. Serway, John W. Jewett

Pages
1624 pages

ISBN
9781133947271

**4.(a) Explain why the force exerted on a particle by a uniform sphere must be directed toward the centre of the sphere. (b) Would this statement be true if the mass distribution of the sphere were not spherically symmetric? Explain.**

(a) The force exerted on a particle by a uniform sphere is perpendicular towards the centre of the sphere.

(b) No, the above statement doesn’t satisfy the spherically symmetric.

**Spherically symmetric means the body has the shape of a sphere and the parts are arranged concentrically around or radiate from the centre of the sphere****.**

Every point “q” on the sphere that does not lie along the axis connecting the centre of the sphere and the particle will have a companion point “q” for which the components of the gravitational force perpendicular to the axis will cancel.

Point “q” can be found by rotating the sphere 180° about the axis.

The force will not necessarily cancel if the mass is not uniformly distributed unless the centre mass of the non-uniform sphere still lies along the axis.

Therefore, the mass is not distributed on the spherically symmetric surface.

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