7. The gravitational field g due to a point mass M may be obtained by analogy with the electric field by writing an expression for the gravitational force on a test mass, and dividing by the magnitude of the test mass, m. Show that Gauss' law for the gravitational field reads: phi = ointg.dA=-4*pi*GM where G is the gravitational constant. Use this result to calculate the gravitational acceleration g at a distance of R/2 from the center of a planet of radius R = 8.90 x 1006 m and M = 4.25 x 1024 kg. Hint: Consider the mass enclosed by the gaussian surface of radius R/2.
7. The gravitational field g due to a point mass M may be obtained by analogy with the electric field by writing an expression for the gravitational force on a test mass, and dividing by the magnitude of the test mass, m. Show that Gauss' law for the gravitational field reads: phi = ointg.dA=-4*pi*GM where G is the gravitational constant. Use this result to calculate the gravitational acceleration g at a distance of R/2 from the center of a planet of radius R = 8.90 x 1006 m and M = 4.25 x 1024 kg. Hint: Consider the mass enclosed by the gaussian surface of radius R/2.
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Show transcribed image text The gravitational field g due to a point mass M may be obtained by analogy with the electric field by writing an expression for the gravitational force on a test mass, and dividing by the magnitude of the test mass, m. Show that Gauss? law for the gravitational field reads: phi = ointg.dA4*pi*GM where G is the gravitational constant. Use this result to calculate the gravitational acceleration g at a distance of R12 from the center of a planet of radius R = 8.90 x 10^06 m and M = 4.25 x 10^24 kg. Hint: Consider the mass enclosed by the Gaussian surface of radius R/2.
Transcribed Image Text:7.
The gravitational field g due to a point mass M may be obtained by analogy with the electric field by writing an expression for the gravitational force on a test mass, and dividing by the magnitude of the test mass, m. Show that
Gauss' law for the gravitational field reads:
phi = ointg.dA=-4*pi*GM
where G is the gravitational constant.
Use this result to calculate the gravitational acceleration g at a distance of R/2 from the center of a planet of radius R = 8.90 x 1006 m and M = 4.25 x 1024 kg.
Hint: Consider the mass enclosed by the gaussian surface of radius R/2.
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