Why is it that the moon exerts a larger tidal force on the Earth than the Sun does, even though the Sun is so very much more massive than the Moon?

A planet of mass 6×10 to the 24th power kg is in orbit around a star of mass 2×10 to the 30th kg. If the distance between the planet and the star is 5×10 to the 11th power m, what is the force exerted on this planet by the star?

For a planet of uniform density, how would the magnitude of the gravitational field halfway to the center compare with the field at the surface?

Calculate the force of gravity between a newborn baby (mass = 3 kg) and the planet Mars (mass = 6.4 × 1023 kg) when Mars is at its closest to Earth (distance = 5.6 × 1010 m).

Scientists have discovered a distant planet with a mass of 8.2x1023 kg. The planet has a small moon that orbits with a period of 6 hours and 36 minutes. Use only this information (and the value of G) to calculate the radius of the moon's orbit (in units of 106 m).

Calculate the acceleration due to gravity on the surface of the Mars?

(a) Suppose that your measured weight at the equator is one-half your measured weight at the pole on a planet whose mass and diameter are equal to those of Earth. What is the rotational period of the planet? (b) Would you need to take the shape of this planet into account?

What is the approximate escape speed in m/s from a tiny moon in orbit about Mars that has a mass of 0.97 x 1016 kg and a radius of 10.0 km. The gravitational constant is 6.67 x 10-11m3kg-1s-2

Calculate the force of gravity between Earth and the Sun (the Sun’s mass = 2.0 × 1030 kg; average Earth–Sun distance = 1.5 × 1011 m).

Four masses are positioned in the corners of a square as shown, with a fifth mass positioned right at the center of the left side of the square (2 meters above the 4m mass). For this configuration the value of m is equal to 2-kg , the square has sides of length 4.0 meters and G = 6.67 x 10-11 N-m²/kg². Find the magnitude and direction of the net gravitational force acting on the 4m mass that is on the on the lower left corner of the square. Assume that the system is isolated from the rest of the universe. m 2m 4m 3m