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 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 15.0 km ? Take the mass of the sun to be m_s = 1.99 Times 10^30 kg, the gravitational constant to be G = 6.67 Times 10^-11 N m^2/kg^2, and the acceleration due to gravity at the earth's surface to be g = 9.810 m/s^2. Express your weight w_star in newtons.

Explanation / Answer

mg =670N

m=670/9.81= 68.2976 kg

Weight on neutron star = GMm/r2 = 6.67 x 10-11 x 1.99 x 1030 x 68.2976 / 7.52 = 1.61 x 1020 N Answer

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