Answer:
The gravitational force on Earth due to the ball can be calculated using the formula F = G * (m1 * m2) / r^2, where G is the gravitational constant, m1 is the mass of the ball, m2 is the mass of the Earth, and r is the distance between the centers of the ball and the Earth. The gravitational constant is approximately 6.67 x 10^-11 N * m^2 / kg^2. The distance between the centers of the ball and the Earth is approximately equal to the radius of the Earth, which is approximately 6.37 x 10^6 m. Therefore, the gravitational force on Earth due to the ball is:
F = (6.67 x 10^-11 N * m^2 / kg^2) * (0.18 kg * 6.0 x 10^24 kg) / (6.37 x 10^6 m)^2
F = 2.03 x 10^14 N
The Earth's resulting acceleration can be calculated using the formula a = F / m2, where F is the gravitational force on Earth due to the ball, and m2 is the mass of the Earth. Therefore, the Earth's resulting acceleration is:
a = (2.03 x 10^14 N) / (6.0 x 10^24 kg)
a = 3.38 x 10^-11 m/s^2
Therefore, the gravitational force on Earth due to the ball is 2.03 x 10^14 N, and the Earth's resulting acceleration is 3.38 x 10^-11 m/s^2.