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Question

iPad 12:43 AM 48%- , flipitphysics.com My Fresno State Expiration Fresno State Mail Favorites FlipltPhysics maomillan learning Physics 4A Mechanics and Wave Motion Fall 2017 California State University, Fresno E Outline Homework: Conservative Forces And Potential Energy Print Assignment View IE Block Spring Incline BASE QUESTION Block and Spring Loop the Loop E Block Spring Incline A S kg block is placed near the top of a frictionless ramp, which makes an angle of 30° degrees to the horizontal. A distance d 1.3 m away from the block is an unstretched spring with k . 3 x 103 N/m. The block slides down the ramp and compresses the spring. Find the maximum compression of the spring. max Copyright © 2017 Freeman worth Publishers-a dnuon of Macmillan Leaning About I Tech Support i Find Your Local Sales Rep I Terms Of the I Privacy Policy mac learn

Explanation / Answer

here,

mass , m = 5 kg

theta = 30 degree

d = 1.3 m

spring constant , K = 3000 N/m

let the compression in the spring be x

work done by gravity = potential energy gained by spring

m * g * (d + x) * sin(theta) = 0.5 * k * x^2

5 * 9.81 * ( 1.3 + x) * sin(30) = 0.5 * 3000 * x^2

solving for x

x = 0.15 m

the compression in the spring is 0.15 m