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

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 685 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 25.0 km ? Take the mass of the sun to be ms = 1.99×10^30 kg , the gravitational constant to be G = 6.67×10^11 Nm2/kg2 , and the acceleration due to gravity at the earth's surface to be g = 9.810 m/s2 . Express your weight wstar in newtons.

Explanation / Answer

Your mass is m = 685N / 9.81m/s^2 = 69.83 kg

r = 25km / 2 = 12500 m

Your weight on the neutron star is

F = G * m_s * m / r^2

F = 5.93*10^13 N

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