Neutron stars, such as the one at the center of the Crab Nebula, have about the
ID: 2030346 • 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 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 = 6.67×1011 Nm2/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.
Explanation / Answer
Value of g at that star=sqrt(G*M/r^2)=1097236.272 m/s^2
Weight=mass*g
Putting the values
Mass=670/9.8
Weight=75015132.91 N