Two concentric uniform thin spherical shells of masses 71 kg and 20 kg and radii 26...
Two concentric uniform thin spherical shells of masses 71 kg and
20 kg and radii 26 m and 87 m, respectively. What is the
gravitational force on a particle of mass 130 kg located
(a) a distance 13 m from the center of the shells: F1= ____pN
(b) a distance 62 m from the center of the shells: F2=
_____pN
(c) a distance 189 m: F3= _____pN
(Use G=6.67 x 10-11 N
kg2/m2)
CAREFUL! ANSWER IN PICONEWTONS (pN) (1 pN=10 x -12
N)
Homework Answers
a] Here particle is inside both shell where gravitational field is zero,
So F1 = 0 pN
b] Here the particle is inside lighter shell, so its gravitational force will be zero, Force will be only due to heavier shell,
F2 = GMm1/r^2 = 6.67e-11*130*71/62^2 = 160*10^-12 N = 160 pN
c] The particle is outside both shells, so force will be due to both of them,
F3 = GMm1/r^2 + GMm2/r^2
= 6.67e-11*130*71/189^2 + 6.67e-11*130*20/189^2
= 22.1e-12 N = 22.1 pN
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