A solid sphere of uniform density has a mass of 4.0×104 kg and a radius of 2.5 m. What is the gravitational force due to the sphere on a particle of mass 1.0 kg located at a distance of 3.00 m from the center of the sphere?
1 Answer
Feb 23, 2016
Explanation:
By using Newton's Shell Theorem, we can calculate the gravitational attraction as if the solid sphere were a point mass, with all the mass concentrated at the center of the sphere.
#F = frac{GMm}{R^2}#
#= frac{(6.67xx10^{-11} "Nm"^2"kg"^{-2})(4.0xx10^4 "kg")(1.0 "kg")}{(3.00 "m")^2}#
# = 2.96xx10^{-7} "N"#
