# 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 = ρ Φ ( ρ ξ φ - ρ ξ ι 29 = Φ ξ χοσ θ KE = 1 2 μω 2 KE f - KE i = W net PE = mgh PE f + ΚΕ φ = ΠΕ ι + ΚΕ ι ΚΕ = -∆ ΠΕ
Work and PE for nonconstant force F x x 1 x 2 x Work = = Area under curve = - PE F x D x W = F x D x

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Springs (Hooke’s Law) Proportional to displacement from equilibrium F = - κξ
Potential Energy of Spring PE = 1 2 κξ 2 F app = - F spring = kx 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
x Example 5.7b b) The block is released. To what height h does it rise when moving up the incline?

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