A baseball is located at the surface of the earth. Which statements about it are

Question

A baseball is located at the surface of the earth. Which statements about it are correct? A) The earth exerts a much greater gravitational force on the ball than the ball exerts on the earth. B) The ball exerts a greater gravitational force on the earth than the earth exerts on the ball. C) The gravitational force on the ball due to the earth has same magnitude as the gravitational force on the earth due to the ball. D) The gravitational force on the ball is independent of the mass of the ball. E) The gravitational force on the ball is independent of the mass of the earth. A satellite in a circular orbit of radius R around planet X has an orbital period T. If Planet X had one-fourth as much mass, the orbital period of this satellite in an orbit of the same radius would be A) 4T B) 2T C) squareroot 2T D) T/2 E) T/4 The gravitational acceleration on a planet's surface is 16.0 m/s^2. What is the gravitational acceleration at an altitude of one planet diameter above the SURFACE of the planet? A) 5.33 m/s^2 B) 4.00 m/s^2 C) 1.60 m/s^2 D) 1.78 m/s^2 E) 8.00 m/s^2 Find the orbital speed of an ice cube in the rings of Saturn. The mass of Saturn is 5.68 times 10^26 kg and the rings have an average radius of 100,000 km. (G = 6.67 times 10^-11 N middot m^2/kg^2) A) 19.5 km/s B) 27.5 km/s C) 13.8 km/s D) 1.95 km/s E) 70.3 km/s

Explanation / Answer

we know that gravitational force F = Gm1m2/R^2

this implies force is dependent on both mass of earth and mass of ball

and here the gravitational force exerted by ball on earth is same as force exerted by earth on ball

option C) is correct

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