Neutron stars, such as the one at the center of the Crab Nebula, have about the
ID: 1340839 • 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 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 17.0 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 wstar in newtons.
Explanation / Answer
givenm
ms = 1.99 * 10^30 kg
mass of person = 685 / 9.8
mass of person = 69.897 kg
diameter = 17 km
weight of the person st the star = G * ms * mass of person / radius^2
weight of the person st the star = 6.67 * 10^-11 * 1.99 * 10^30 * 69.897 / (17/2)^2
weight on nutron star = 1.284 * 10^20 N