A solid sphere of uniform density has a mass of 8.0 × 10 4 kg and a radius of 4.
ID: 1525446 • Letter: A
Question
A solid sphere of uniform density has a mass of 8.0 × 104 kg and a radius of 4.2 m. What is the magnitude of the gravitational force due to the sphere on a particle of mass 5.8 kg located at a distance of (a) 16 m and (b) 1.8 m from the center of the sphere? (c) Write a general expression for the magnitude of the gravitational force on the particle at a distance r 4.2 m from the center of the sphere.
I have already solved a and b, but I am having trouble with c.
FLEE Unitiu (a) Number Unit TN (b) Number 7.5E-7 r, where k (c) On m 4.1E-7Explanation / Answer
force at distace r inside the sphere F will be
F = gravitational constant * mass of sphere * mass of object * distance of object / (radius of sphere)^3
F = 6.67408 * 10^-11 * 8 * 10^4 * 5.8 * r / 4.2^3
F = 4.1798579e-7 * r
so,
k = 4.1798579e-7
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