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

Question

Neutrons 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. 1) If you weigh 670 N on the Earth, what would be tour weigh on the surface of a newton star that has the same mass as our sun and a diameter of 23.0 km? Take the mass of the sun to be 1.99*10^30 kg the gravitational constant to be 6.67*10^-11 kg^2 , and the acceleration due to gravity at the earth's surface to be 9.810 m/s^2 Neutrons 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. 1) If you weigh 670 N on the Earth, what would be tour weigh on the surface of a newton star that has the same mass as our sun and a diameter of 23.0 km? Take the mass of the sun to be 1.99*10^30 kg the gravitational constant to be 6.67*10^-11 kg^2 , and the acceleration due to gravity at the earth's surface to be 9.810 m/s^2 1) If you weigh 670 N on the Earth, what would be tour weigh on the surface of a newton star that has the same mass as our sun and a diameter of 23.0 km? Take the mass of the sun to be 1.99*10^30 kg the gravitational constant to be 6.67*10^-11 kg^2 , and the acceleration due to gravity at the earth's surface to be 9.810 m/s^2

Explanation / Answer

W = ?

m = 670

g = ?

radius of Neutron star = 11.5 km = 11,500 meters

We need to find g on the Neutron star, so:

g = GM/r^2

g = 6.67 x 10^-11 x 1.99 x 10^30/11,500^2

g = 1 x 10^12

W = 670 x (1 x 10^12)

W = 6.7 x 10^14 N

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