Find the magnitude of the gravitational force exerted by the sphere and spherical shell on a particle of mass 7 kg located at a distance 1.49 m from the center of the sphere and spherical shell. Answer in units of N.

The magnitude of the gravitational force exerted by the sphere and spherical shell is 9.68 * 10^-8 N.

Explanation:

From the given information distance a= 1.49 m,

The particle of mass m1 = 7 kg to the center of the sphere (whose mass is m2 = 142 kg)

The radius R= 1.01 m of the sphere.

Thus, the gravitational force F exerted on a particle located at center from sphere increases linearly with the distance from the particle to the center of the sphere F = (G* m1 * m2 * a)/(R)^2              

where G = 6.67*(10^-11) N * m^2 / kg^2,

F = (6.67*(10^-11) * 7 * 142 * 1.49) / (1.01)^2.

F = 9.68 * 10^-8 N.