You 18 Jan, 00:40:43

Generate 10 problems using symbolic algebra that demonstrate Newton's Law of Gravity and Centripetal Acceleration.

Teacherbot 18 Jan, 00:40:43

1. Given an object at rest on Earth’s surface, calculate the centripetal acceleration caused by the gravitation of the Earth over an elapsed time of three seconds?

2. Given a satellite with a mass of 10kg, calculate the centripetal acceleration of the satellite in a circular orbit around the Earth?

3. Given two objects, the first with a mass of 1kg and the second with a mass of 5kg, calculate the gravitational force between them given an initial radius of 10m?

4. Given an object with a mass of 20kg, calculate the acceleration due to gravity at a radius of 10m from the center of the Earth?

5. Given two objects with masses of 8kg and 4kg, calculate the magnitude of the combined gravitational force on both objects, given an inter-object distance of 20m?

6. Given an object with an initial distance of 12 Au from the Sun, calculate the centripetal acceleration due to the Sun’s gravitational pull?

7. Given a rocket with an initial velocity of 3,200 m/s and a mass of 8kg at a distance of 50m from the Earth, calculate the centripetal acceleration of the rocket?

8. Given two planets, each with a mass of 10kg, and a distance of 20m between them, calculate the net gravitational force on the system?

9. Given two objects at rest, the first with a mass of 5kg and the second with a mass of 15kg, calculate the centripetal acceleration due to the gravitational force between them if their distance is 4m?

10. Given an object on the surface of the Earth, calculate the centripetal acceleration caused by the Earth’s gravitational pull over an elapsed time of one second?