Question

Problem 29a

Answer 1

Given information

 At the surface of a certain planet, the gravitational acceleration has a magnitude of . A -kg brass ball is transported to this planet.

Step-by-step explanation

Step 1.

Concept:

    As we know, If an object is moving in a circle of radius with constant speed , then the motion is said to be a uniform circular motion. It has a radial acceleration that is directed radially toward the center of the circle which is called radial acceleration which is given by

                                                                                       

The velocity vector and the acceleration vector are continually changing in direction, but are perpendicular to each other at each moment. When the speed of circular motion is not constant, the acceleration has two components, tangential as well as centripetal. As we know Newton's law of universal gravitation states that every particle in the universe attracts every other particle with a force proportional to the product of their masses and inversely proportional to square to the square of the distance between them:

                                                                                     

The direction of this force is along the line joining the two particles, and the force is always attractive. It is this gravitational force that keeps the Moon revolving around the Earth, and the planets revolving around the Sun.