## Circular Motion and Gravitation Objectives

The Minds On Physics program consists of 15 topics. Each topic consists of a varying number of missions. Every mission addresses one to three objectives. The objectives for Circular Motion and Gravitation are listed below.

• Mission CG1: Speed and Velocity

• The student should be able to distinguish between the concepts of speed and velocity and use such concepts to describe the motion of objects in a circle.
• The student should be able to identify and describe the direction of the velocity vector for an object moving in a circle and identify the variables effecting the magnitude of the velocity.

• Mission CG2: Acceleration and Net Force
• The student should be able to recognize that objects moving in circles have an acceleration and explain the cause of this acceleration.
• The student should be able to describe the magnitude and direction of the acceleration and net force vector of an object moving in a circle at a constant speed.

• Mission CG3: Centripetal Force and Inertia
• The student should be able to use the concept of inertia to explain the reason that objects moving in circles have a tendency to move tangent to the circle.

• Mission CG4: The Centripetal Force Requirement
• The student should be able to use the centripetal force requirement to identify the force which act centripetally in order to cause an object to move in circular motion.
• The student should be able to analyze a physical situation involving circular motion and compare the magnitude of the individual forces which act upon an object.

• Mission CG5: Mathematical Analysis of Circular Motion
• The student should be able to utilize Newton's laws to analyze the motion of an object moving in a horizontal circle and to determine the values of the acceleration, net force and individual forces.
• The student should be able utilize Newton's laws to analyze the motion of an object moving in a vertical circle and to determine the values of the acceleration, net force and individual forces.

• Mission CG6: Newton's Law of Universal Gravitation
• The student should be able to recognize key elements of Newton's law of universal gravitation.
• The student should be able to identify the variables effecting the force of gravity and predict the effect of alterations in these variables upon the force of gravity.

• Mission CG7: The Acceleration of Gravity
• The student should be able to define the acceleration of gravity and identify the variables which effect its value.
• The student should be able to predict the effect of alterations in strategic variables upon the acceleration of gravity.

• Mission CG8: Satellite Motion
• The student should be able to identify the variables effecting the orbital speed of a satellite and discuss the dependence of orbital speed upon these variables.
• The student should be able to identify the variables effecting the acceleration and net force acting upon an orbiting satellite and discuss the dependence of a and Fnet upon these variables.

• Mission CG9: Weightlessness
• The student should be able to distinguish between the weight of an object and the sensations of weightlessness experienced by an object and to explain the cause of these sensations.
•  The student should be able to apply concepts of weight and weightlessness to explain a variety of motions such as roller coaster motions and satellite motion.

• Mission CG10: Kepler's Laws of Planetary Motion
• The student should be able to identify and describe each of Kepler's three laws of planetary motion.
• The student should be able to use Kepler's law of harmonies to make calculations regarding the radius and period of orbits of planets.