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[5] #2. A solid spherical mass M1 = 0.35 kg and radius 3.80 cm is concentric wit

ID: 3280403 • Letter: #

Question

[5] #2. A solid spherical mass M1 = 0.35 kg and radius 3.80 cm is concentric with a spherical shell
M2 = 0.54 kg and radius 7.20 cm as shown.   A point mass m = 50.6 grams is at a distance of 4.88 cm from                          M1
the center of the solid sphere.    Based on the shell theorems, determine the gravitational force on m.                                            m                                                                               

Answer: a. 4.96 x 10-10 N.      b. 6.30 x 10-10 N.       c. 7.64 x 10-10 N.       d. 9.85 x 10-10 N.       e. 1.48 x 10-9 N.

Explanation / Answer

Force due to M2 will be zero as m is inside the shell M2

net force on m = GM1m/r^2
= 6.674x10^-11x0.35x0.0506/(0.0488)^2
=4.96 x 10-10 N

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