Neutron stars, such as the one at the center of the Crab Nebula, have about the
ID: 1702015 • Letter: N
Question
Neutron stars, such as the one at the center of the Crab Nebula, have about the same mass as our sun but a much smaller diameter.If you weigh 680 on the earth, what would be your weight on the surface of a neutron star that has the same mass as our sun and a diameter of 22.0 ?
Take the mass of the sun to be = 1.99×1030 , the gravitational constant to be = 6.67×10-11 , and the acceleration due to gravity at the earth's surface to be = 9.810 .
Explanation / Answer
We know that F = G m1 m2 / r^2 So we have m1 = w/g = 680 / 9.8 = 69.38 kg m2 = ms = 1.99×10^30 kg d = 22.0 ==> r = d/2 = 22.0/2 = 11.0 km ==> Wn = G m1 * ms / r^2 = 6.67 x 10^-11 * 69.38 * 1.99 x 10^30 / (11 x 10^3)^2 = 7.611 x 10^13 N
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