Weighing on a Neuron Star Neutron stars, such as the one at the center of the Cr

Question

Weighing on a Neuron Star

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.

Part A

If you weigh 665 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 25.0 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 wstar in newtons.

Please explain answer ! Thank you

Explanation / Answer

here,

weight on earth , we = 665 N

mass on earth , me = we/g = 665/9.8

me = 67.86 kg

diameter , d = 25 km

radius of the star , r = 12500 m

mass of the sun , ms = 1.99 * 10^30 kg

weight on the star , wstar = G*ms*me/r^2

wstar = 6.67*10^-11*1.99*10^30*67.86 /( 12500)^2

wstar = 5.76 * 10^13 kg

the weight of the star is 5.76 * 10^13 kg

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