Question

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 20.0 km? Take the mass of the sun to be 1.99×10^30, the gravitational constant to be G = 6.67×10^−11Nm^2/kg^2, and the acceleration due to gravity at the earth's surface to be g = 9.810 m/s^2.p

Answer 1

8.93*10^13 N.

Step-by-step explanation:

• Assuming that in this case, the weight is just the the force exerted on you by the mass of the star, due to gravity, we can apply the Universal Law of Gravitation:

`F_(g)= (G*m_(1)*m_(s))/(r_(s)^(2) )`

• where, m1 = mass of the man = 660 N / 9.81 m/s^2 = 67.3 kg, ms = mass of the star = 1.99*10^30 kg, G= Universal Constant of Gravitation, and rs= radius of the star = 10.0 km. = 10^4 m.
• Replacing by the values, we get:

`F_(g)= (6.67e-11Nm^2/kg^2*1.99e30 kg*67.3 kg)/(10e4m^2) = 8.93e13 N`

• Fg = 8.93*10^13 N.