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Neutron stars, such as the one at the center of the Crab Nebula, have about the...

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 670 N 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 21.0 km ? Take the mass of the sun to be ms = 1.99×1030 kg , the gravitational constant to be G = 6.67×10−11 N⋅m2/kg2 , and the acceleration due to gravity at the earth's surface to be g = 9.810 m/s2 . Express your weight w(star) in newtons.

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Answer #1

Gravitational constant = G = 6.67 x 10-11 N.m2/kg2

Gravitational acceleration on Earth's surface = g = 9.81 m/s2

Your weight on Earth = W = 670 N

Your mass = m

W = mg

670 = m(9.81)

m = 68.3 kg

Mass of the neutron star = Mass of our Sun = M = 1.99 x 1030 kg

Diameter of the neutron star = D = 21 km = 21000 m

Radius of the neutron star = R = D/2 = 21000/2 = 10500 m

Your weight on the surface of a neutron star = Ws

Your weight on the surface of the neutron star is equal to the gravitational force exerted on you by the neutron star.

Ws = 8.22 x 1013 N

Your weight on the surface of the neutron star = 8.22 x 1013 N

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