A.) Two identical balls, their centers 25.0 cm apart, experience a mutual gravitational force of 8.8x10 ⁻⁶ N. If the masses are 83.54 kg, what is the distance between the centers?
B.) Compute the net force on Earth due to the Sun and Moon, (a) when the Moon is full and (b) when the Moon is new.
C.) A spherical asteroid with a radius of 12.5 km has a uniform density of 3,500 kg/m³. If the acceleration due to gravity is 1.320×10⁻² m/s², what is the density (unit: kg/m³) of the asteroid?