LEARNING OBJECTIVE 3.A.1.1 - Express the motion of an object using narrative, mathematical, and graphical representations. AP MECHANICS -C LEARNING OBJECTIVE INT 2.B -Explain how a net force in the centripetal direction can be a single force, more than one force, or even components of forces that are acting on an object moving in circular motion. So far, we have covered all the mathematics...
LEARNING OBJECTIVE 3.A.1.1 - Express the motion of an object using narrative, mathematical, and graphical representations. AP MECHANICS -C LEARNING OBJECTIVE INT 2.A -Calculate relationships among the radius of a circle, the speed of an object (or period of revolution), and the magnitude of centripetal acceleration for an object moving in uniform circular motion. When an object performs a uniform...
LEARNING OBJECTIVE 3.A.1.1 - Express the motion of an object using narrative, mathematical, and graphical representations. AP MECHANICS -C LEARNING OBJECTIVE INT 2.C -Calculate the velocity of an object moving in a horizontal circle with a constant speed, when subject to a known centripetal force. In a case of uniform circular motion, an object moves with constant speed v along the circumference...
LEARNING OBJECTIVE 3.A.1.1 - Express the motion of an object using narrative, mathematical, and graphical representations. AP MECHANICS -C LEARNING OBJECTIVE INT 2.C -Describe the direction of the velocity and acceleration vector for an object moving in two dimensions, circular motion One of the most interesting applications of Newton’s Law is to solve problems related to the motion of an...
AP MECHANICS -C LEARNING OBJECTIVE CON 1.A -. Describe the role of a conservative force or a dissipative force in a dynamic system. Does the work done by a conservative force depend upon the trajectory or path? Suppose a conservative force of constant magnitude F acts downwards. Under the influence of this force, an object moves along a curved path from point A to point B. How much work is done...
AP MECHANICS -C LEARNING OBJECTIVE CON 1.C -Describe the force within a system and the potential energy of a system. In the last section, we derived a relationship between force F(x) and potential energy U(x). In order to use the relationship, we will need to know the exact function of either U(x) or F(x) and then use calculus to obtain the other. In this section, we will take a visual approach...
AP MECHANICS -C LEARNING OBJECTIVE CON 1.B -Derive an expression that represents the relationship between a conservative force acting in a system on an object to the potential energy of the system using the methods of calculus. 1.F -Derive an expression for the gravitational potential energy of a system consisting of a satellite or large mass (e.g., an asteroid) and the Earth at a great distance...
AP MECHANICS -C LEARNING OBJECTIVE CON 1.C -Describe the force within a system and the potential energy of a system. So far we have seen that a potential energy function U(x) can be found in the cases where conservative forces are acting in the system. We proved that in such cases the work done by the forces in a closed loop is always zero. For a one-dimensional case where the U varies only as a...
LEARNING OBJECTIVE 3.3.A - Describe the potential energy of a system. AP MECHANICS -C LEARNING OBJECTIVE CON 1.D -Derive the expression for the potential energy function of an ideal spring. In the last section, we derived an expression to calculate the numerical value of kinetic energy. Let’s now derive expressions for potential energy associated with two of the forces we will be frequently...
LEARNING OBJECTIVE 3.3.A - Describe the potential energy of a system. AP MECHANICS -C LEARNING OBJECTIVE CON 1.E -Calculate the potential energy of a system consisting of an object in a uniform gravitational field. In the last section, we derived an expression to calculate the numerical value of kinetic energy. Let’s now derive expressions for potential energy associated with two of the...
