(a) State Newton’s law of gravity in scalar form and vector form. (b) State how potential...

(a) State Newton’s law of gravity in scalar form and vector form.
(b) State how potential energy and forces in 1D are related and use this to determine an expression for the gravitational potential energy, choosing an appropriate zero-point.
(c) A thin, 1D homogeneous rod of material has a mass M and length L. The rod is bent into a semi-circle. Determine an expression for the strength of the gravitational ﬁeld at the centre of curvature of the circular arc.

Expert Solution

1) The scalar form of the law of gravitation is simply the MAGNITUDE of the force, which can be CALCULATED by the formula F = G M(1) M(2)/R^2.

OR, it could be MEASURED by placing a mass on a scale and recording the weight. This can be done because weight is a measure of the pull of gravity.

The vector form of the law requires a DIRECTION. In the case of the force between two heavenly bodies, there are TWO forces, EQUAL and opposite, and each force is directed TOWARDS the CENTER of one heavenly body respectively. As soon as we indicate direction we are talking VECTORS.

2)

genius_generous answered 2 years ago

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