5. If the earth had three times the radius but the same mass, how would this change the weight of the object?

A hypothetical planet has a radius 1.6 times that of Earth but has the same mass. - What is the acceleration due to gravity near its surface?

22 1. The earth has a mass of 5.98 x 1024 kg and the moon has a mass of 7.35 × 10²2 kg. The distance from the centre of the moon to the centre of the earth is 3.84 x 10³ m. A rocket with a total mass of 1200 kg is 3.0 × 108 m from the centre of the earth and directly in between the earth and the moon. Find the net gravitational force on the rocket from the earth and moon. 2. A 500 kg satellite experiences a gravitational force of 3000 N, while moving in a circular orbit around the earth. a. Determine the radius of the circular orbit. Round to 2 significant figures. b. Determine the speed of the satellite. Round to 2 significant figures. c. Determine the period of the orbit. Round to 3 significant figures.

II-Application of Gravitational Force 1. The mass of the Moon is 7.35 × 102² kg and the mass of the Earth is 5.97 × 1024 kg. The Moon's orbit distance is 3.84 × 108 m. Calculate the gravitational force on the Moon by the Earth.

2. What happens to the gravitational force between two objects if the masses of both objects tripled?