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.

the working equation for the angular size is the product of the physical size and 360 degrees divided by the product of two pi and distance from earth. the minimum size would be 0.559 degrees while the maximum size would be 0.49 degrees.