A uniform, spherical, 1900.0 kg shell has a radius of 5.00 m. Find the gravitational force this shell exerts on a 1.80 kg point mass placed at the distance 5.01 m from the center of the shell.

Respuesta :

Answer:

[tex]F=9.09\times 10^{-9} N[/tex]

Explanation:

We are given that

Mass of spherical shell,[tex]m_1[/tex]=1900 kg

Mass=[tex]m_2=1.80 kg[/tex]

Radius of shell=r=5 m

Distance between two masses=r=5.01 m

Because distance measure from center .

Gravitational force

[tex]F=G\frac{m_1m_2}{r^2}[/tex]

[tex]G=6.67\times 10^{-11} Nm^2/kg^2[/tex]

Using the formula

[tex]F=6.67\times 10^{-11}\times \frac{1900\times 1.80}{(5.01)^2}[/tex]

[tex]F=9.09\times 10^{-9} N[/tex]

Hence,the gravitational force =[tex]F=9.09\times 10^{-9} N[/tex]