Question

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 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 = 6.67×10−11 N⋅m2/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.

Homework Answers

Answer #1

weight on earth

W = m g

m = W / g

= 690 / 9.8

= 70.408 kg

if the person with mass m = 70.408 is om the surface of the nuetron star then the gravitational force of attraction between person and the nuetron star will be

Fg = G m1 m2 / r2

where

G = 6.67×10−11 N⋅m2 / kg2

m1 = 70.408 kg,

m2 = 1.99×1030 kg

r = 10.5 km

Fg = = m1 g

m1 g = G m1 m2 / r2

the acceleration on the surface of neutron star is

g = G m2 / r2

= (6.67×10−11) (1.99×1030) / (10.5 x 103)2

   = ......... m / s2

the weight on the neutron star will be

W = (m2) g

= ......... N

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