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## Neutron stars, such as the one at the center of the Crab Nebula, have about the same mass as our sun but have a much smaller diameter. If yo

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Neutron stars, such as the one at the center of the Crab Nebula, have about the same mass as our sun but have a much smaller diameter. If you weigh 675 N on the earth, what would you weigh at the surface of a neutron star that has the same mass as our sun and a diameter of 20 km

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Physics
5 months
2021-08-23T12:22:09+00:00
2021-08-23T12:22:09+00:00 1 Answers
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## Answers ( )

Answer:Wn = 9.14 x 10¹⁷ N

Explanation:First we need to find our mass. For this purpose we use the following formula:

W = mgm = W/gwhere,

W = Weight = 675 N

g = Acceleration due to gravity on Surface of Earth = 9.8 m/s²

m = Mass = ?

Therefore,

m = (675 N)/(9.8 m/s²)m = 68.88 kgNow, we need to find the value of acceleration due to gravity on the surface of Neutron Star. For this purpose we use the following formula:

gn = (G)(Mn)/(Rn)²where,

gn = acceleration due to gravity on surface of neutron star = ?

G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²

Mn = Mass of Neutron Star = Mass of Sun = 1.99 x 10³⁰ kg

Rn = Radius of neutron Star = 20 km/2 = 10 km = 10000 m

Therefore,

gn = (6.67 x 10⁻¹¹ N.m²/kg²)(1.99 x 10³⁰ kg)/(10000)gn = 13.27 x 10¹⁵ m/s²Now, my weight on neutron star will be:

Wn = m(gn)Wn = (68.88)(13.27 x 10¹⁵ m/s²)Wn = 9.14 x 10¹⁷ N