Introduction to Quadratic Functions.pptx
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This document provides an introduction to quadratic functions including: - Quadratic functions can be described by equations of the form y = ax^2 + bx + c, where a, b, and c are real numbers and a ≠ 0. - The graph of a quadratic function is a parabola (smooth curve). - Tables of values for quadratic functions have a constant second difference in y. - Examples of quadratic and non-quadratic functions are provided along with practice problems identifying quadratic functions from equations and tables of values.
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This document defines and provides formulas for work, energy, power, and the law of conservation of energy. It explains that work is the product of force and displacement and its unit is joules. There are two types of energy: kinetic energy, which is the energy of motion, and potential energy, which is energy at rest in gravitational, chemical, or elastic forms. The law of conservation of energy states that energy cannot be created or destroyed, only changed from one form to another. Power is defined as the rate of doing work or speed of work and its unit is watts. Sample problems are provided to demonstrate calculating kinetic energy, gravitational potential energy, work, and power.
Centripetal acceleration and force
The document summarizes experiments on centripetal force using a rotating platform. It discusses the centripetal force needed to maintain circular motion and provides formulas for calculating centripetal acceleration and force. Examples are given about centripetal force in a rotating train and questions are provided about centripetal force exerted on a hanging penny and problems calculating force for given mass, speed, and radius.
Uniform circular motion
This document defines terms related to circular motion such as axis, rotation, revolution, period, frequency, speed, and tangential speed. It explains that uniform circular motion occurs when an object moves at a constant speed in a circular path. Examples are provided to demonstrate how to calculate rotational speed, frequency, and tangential speed using the formulas provided for different circular motion scenarios.
Application of friction
This document discusses the laws of friction and provides examples of how to calculate coefficients of friction and frictional forces. It defines key terms like coefficient of friction, normal force, static friction, and kinetic friction. Formulas are provided to calculate the coefficient of friction and frictional force. Two sample problems demonstrate how to apply the formulas to find the coefficient of friction or frictional force given values for normal force, applied force, mass, and angle of inclination. Finally, two practice exercises are presented.
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