This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: madrid (tmm2353) HW 53 Antoniewicz (56445) 1 This printout should have 13 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 20.0 points A small block of mass m is attached to a spring with stiffness k s and relaxed length L . The other end of the spring is fastened to a fixed point on a lowfriction table. The block slides on the table in a circular path of radius R > L . How long does it take for the block to go around once? 1. T = radicalBigg 4 2 mR 2 k s ( R L ) 2. T = radicalBigg 2 mR k s ( R L ) 3. T = radicalBigg 4 2 mR k s ( R L ) correct 4. T = radicalBigg 4 mR k s ( R L ) 5. T = radicalBigg 3 2 mR 2 k s ( R L ) Explanation: The net force on the ball is equal to the force by the spring on the ball, which is vextendsingle vextendsingle vextendsingle vector F spring vextendsingle vextendsingle vextendsingle = k s s. The distance the spring stretches is s = R L . Because the speed of the ball is constant and is much less than the speed of light, vextendsingle vextendsingle vextendsingle vector F net vextendsingle vextendsingle vextendsingle = m  vectorv  2 R . So we have vextendsingle vextendsingle vextendsingle vector F spring vextendsingle vextendsingle vextendsingle = k s s and vextendsingle vextendsingle vextendsingle vector F net vextendsingle vextendsingle vextendsingle =  F spring  m  vectorv  2 R = k s ( R L )  vectorv  = radicalbigg k s R ( R L ) m . For circular motion,  vectorv  = 2 R/T . We substitute: 2 R T = radicalbigg k s R ( R L ) m T = radicalBigg 4 2 mR k s ( R L ) . 002 20.0 points You put a 32 kg object on a bathroom scale at the North Pole, and the scale reads exactly 32 kg. At the North Pole, you are 6357 m from the center of the Earth. At the equator, the scale reads a different value due to two effects: 1) the Earth bulges at the equator due to its rotation, and you are 6378 m from the center of the Earth, and 2) you are mov ing in a circular path due to the rotation of the Earth. Taking into account both of these effects, what does the scale read at the equa tor? Use G = 6 . 67 10 11 N m 2 / kg 2 and M e = 6 10 24 kg....
View Full
Document
 Fall '08
 Turner

Click to edit the document details