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neutron stars, such as the one at the center of the crab Nebula, have about the...

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 690 N on the earth, what would be your weight on the surface of a neutron star has the same mass our sun and a diameter of 190. km? take the mass of the sun to be ms= 1.99x10^30 kg. the gravitational constant to be G= 6.67x10^-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.

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Answer #1

In earth ,weight = mg

which is equal to the Gravitational force between a person and earth

we know Fg =GMem/R2 ,where m is the mass of person , Me mass of earth ,R is the radius of earth

so mg = GMem/R2

g =GMe /R2 =9.81 m/s2

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On the neutron star value of g is different

Rn =190km/2 = 95000m ,Mn = 1.99*1030kg

gn = GMn/Rn2 = 6.67*10-11 *1.99*1030 /(95000)2

gn = 1.4707*1010 m/s2

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Weight in Neutron star

Given weight on earth mg =690N

m = 690/9.81 = 70.3364kg

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Mass is same everywhere

so Weight on neutron star = mgn = 70.3364 *1.4707*1010

Wn = 1.0344*1012 N

ANSWER: Wn = 1.0344*1012 N

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