Motion Along Curved Paths definitions Flashcards
Motion Along Curved Paths definitions
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Curved Path Problem A scenario where an object moves along a path with a constantly changing slope angle, complicating force and kinematic analysis. Energy Conservation A principle stating that the total energy in a closed system remains constant, used to solve problems with non-constant acceleration. Kinetic Energy The energy an object possesses due to its motion, calculated as 1/2 times mass times velocity squared. Potential Energy The energy stored in an object due to its position in a gravitational field, calculated as mass times gravity times height. Non-conservative Forces Forces that cause energy dissipation from a system, such as friction, not present in the given problem. Gravitational Potential Energy Energy an object possesses due to its height above a reference point, contributing to total mechanical energy. Minimum Speed The lowest velocity required for an object to reach a certain point without falling short. Acceleration due to Gravity The constant rate at which objects accelerate towards Earth, approximately 9.8 m/s². Hill Height The vertical distance from the base to the top of a hill, given as 20 meters in the problem. Initial Conditions The starting parameters of a problem, including initial kinetic energy and zero potential energy at the base. Final Conditions The parameters at the end of a problem, including zero kinetic energy and maximum potential energy at the hill's peak. Velocity The speed of an object in a specific direction, crucial for determining kinetic energy. Mass Cancellation A simplification in energy equations where mass is eliminated from both sides, focusing on velocity and height. Square Root Calculation A mathematical operation used to solve for velocity in energy equations, involving the square root of 2g times height. Smooth Hill A surface with no friction, ensuring no work is done by non-conservative forces in the problem.