If you weigh 660 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 16.0 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
On earth :
We = weight on earth = 660 N
m = mass
ge = acceleration due to gravity on earth = 9.810 m/s2
weight on earth is given as
We = m ge
660 = m (9.810)
m = 67.3 kg
On neutron star :
ms = mass of star = 1.99 x 1030 kg
R = radius = diameter/2 = 16/2 = 8 km = 8000 m
Weight on star is given as
Wstar = G ms m/R2
Wstar = (6.67 x 10-11) (1.99 x 1030) (67.3) /(8000)2
Wstar = 1.4 x 1014 N
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