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A 1.08 kg mass is at the center of a uniform spherical shell of mass 1.05*10^20...

A 1.08 kg mass is at the center of a uniform spherical shell of mass 1.05*10^20 kg and radius 1.06*10^6 m.

(A)Find the resultant gravitational force on the mass.

b) Find the resultant gravitational force on the mass if it is placed just outside the shell.

magnitude =

direction =

(c) Find the value of g just outside the shell.

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Homework Answers

Answer #1

A) spherical shell gravitational field at the center ( r<R ) = 0  

so force on the 1.08 kg mass will be zero

B) spherical shell gravitational field at out side ( r> ,=R)

Eg = GM/r^2

at surface r = R so Eg= G*M/R^2

so force on  1.08 kg mass = m* Eg like ( q*E)

F =1.08* 6.67*10^-11 *1.05*10^20 / ( 1.06*10^6)^2

magnitude =0.0067317 N

direction = towards center of spherical shell

C) value of g = 6.67*10^-11 *1.05*10^20 / ( 1.06*10^6)^2

=0.00623309 m/s^2

let me know in comment if there is any problem or doubt

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