QTest #10-solutions - Version 096/ABCAA QTest #10...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Version 096/ABCAA – QTest #10 – Antoniewicz – (56445) 1 This print-out should have 4 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points In a circus perFormance, a large 3 . 4kghoop oF radius 5 . 4mrollswithoutslipping. IF the hoop is given an angular speed oF 2 . 9rad / swhilerollingonthehorizontalandis allowed to roll up a ramp inclined at 23 with the horizontal, how Far (measured along the incline) does the hoop roll? The acceleration oF gravity is 9 . 8m / s 2 . 1. 42.962 2. 52.7332 3. 18.1376 4. 87.7965 5. 36.616 6. 23.1336 7. 64.0441 8. 18.8198 9. 27.9754 10. 40.5915 Correct answer: 64 . 0441 m. Explanation: Let : m =3 . 4kg , r =5 . 4m , ω i =2 . / s , θ =23 , and g =9 . / s 2 . By conservation oF mechanical energy, U f = K i since v f =0m/sand h i =0m. U f = K trans,i + K rot,i mgh = 1 2 mv 2 i + 1 2 ( mr 2 ) ω 2 i mgd sin θ = 1 2 m ( r ω i ) 2 + 1 2 ( 2 ) ω 2 i = 1 2 2 ω 2 i + 1 2 2 ω 2 i gd sin θ = r 2 ω 2 i d = r 2 ω 2 i g sin θ = (5 . 4m) 2 (2 . / s) 2 (9 . / s 2 )s in23 = 64 . 0441 m .
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/17/2011 for the course PHY 303K taught by Professor Turner during the Fall '08 term at University of Texas at Austin.

Page1 / 2

QTest #10-solutions - Version 096/ABCAA QTest #10...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online