contestada

Neutron stars have about the same mass as our sun but a much smaller diameter. The radius of a
neutron star is 10 x 10 m and its mass is 1.99 x 1030 kg. If you weigh 675 N on the earth, what
would you weigh on the surface of a neutron star?
A) 8.36 x 10^13 B) 7.42 x 10^13 C) 6.87 x 10^13 D) 9.16 x 10^13

Respuesta :

boffeemadrid

Answer:

[tex]9.15\times 10^{13}\ \text{N}[/tex]

Explanation:

[tex]m=\text{Mass of person}=\dfrac{675}{g}=\dfrac{675}{9.8}\ \text{kg}[/tex]

[tex]g=\text{Acceleration due to gravity on Earth}=9.8\ \text{m/s}^2[/tex]

[tex]r=\text{Radius the neutron star}=10\ \text{km}[/tex]

[tex]M=\text{Mass of neutron star}=1.99\times 10^{30}\ \text{kg}[/tex]

[tex]G=\text{Gravitational constant}=6.674\times10^{-11}\ \text{Nm}^2/\text{kg}^2[/tex]

Weight on neutron star would be

[tex]W_n=\dfrac{GmM}{r^2}\\\Rightarrow W_n=\dfrac{6.674\times 10^{-11}\times \dfrac{675}{9.8}\times 1.99\times 10^{30}}{10000^2}\\\Rightarrow W_n=9.15\times 10^{13}\ \text{N}[/tex]

Weight of the person on the neutron star would be [tex]9.15\times 10^{13}\ \text{N}[/tex]

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