# Lecture7 - PHYSICS 231 INTRODUCTORY PHYSICS I Lecture 7...

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PHYSICS 231 INTRODUCTORY PHYSICS I Lecture 7

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Work (constant force) Kinetic Energy Work-Energy Theorem Potential Energy of gravity Conservation of Energy Last Lecture W = r F ! ( r x f " r x i ) = F # x cos \$ KE = 1 2 mv 2 KE f " KE i = W net ! PE = mgh PE f + KE f = PE i + KE i ! KE = "! PE
Work and PE for nonconstant force F x x x 1 x 2 Δ x Work = = Area under curve = - Δ PE F x " # x " W = F x " x

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Springs (Hooke’s Law) Proportional to displacement from equilibrium F = ! kx
Potential Energy of Spring PE = 1 2 kx 2 F app = " F spring = kx Δ PE = Area under curve =(1/2)(base)(height) =(1/2)(F max )(x max ) =(1/2)(kx)(x) F max

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x Example 5.7a a) What is the spring constant? A 0.50-kg block rests on a horizontal, frictionless surface as in the figure; it is pressed against a light spring by a force of 16 N, with an initial compression of 2.0 cm. 800 N/m
Example 5.7b b) The block is released. To what height h does it rise when moving up the incline? A 0.50-kg block rests on a horizontal, frictionless surface as in the figure; it is pressed against a light spring by a force of 16 N, with an initial compression of 2.0 cm. 3.3 cm

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## This note was uploaded on 07/25/2008 for the course PHY 231 taught by Professor Smith during the Spring '08 term at Michigan State University.

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Lecture7 - PHYSICS 231 INTRODUCTORY PHYSICS I Lecture 7...

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