Neutron stars, such as the one at the center of the Crab Nebula, have about the
ID: 1429899 • 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 650 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 24.0 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
here,
weight on earth , w = 650 N
mass on earth ,m = w/g
m = 66.33 kg
radius of the star , r = 12000 m
mass of star , M =1.99 *10^30 kg
the weight on star, w' = gravitational force acting on star
w' = G * M * m /r^2
w' = 6.67 * 10^-11 * 1.99 * 10^30 * 66.33 /( 12000)^2
w' = 6.11 * 10^13 N
the weight on star surface is 6.11* 10^13 N