Answered: As seen in Fig. 1, a 5.00 kg mass…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

As seen in Fig. 1, a 5.00 kg mass starts from rest at the top of a frictionless incline at heighty0= 3.00 m and slides to the bottom where it is moving at velocityv1. The level surface at thebottom of the incline has coefficient of kinetic frictionμk= 0.350. The mass slides along the levelsurface a distancex2= 2.00 m where it strikes a spring and comes to rest after compressing thespring by distancex3. The spring constant (stiffness) of the spring is 235 N/m.

1. How much work does the gravitational force do on the mass as it moves from the top to thebottom of the incline?2.

What is the speed (velocity magnitude)v1of the mass at the bottom of the incline just beforeencountering the friction?

3. How much work does the frictional force do on the mass as it moves distancex2before hittingthe spring?

4. What is the speedv2of the mass atx2just before it hits the spring?

5. How much total work do the spring and friction forces do to stop the mass after traveling anadditional distancex3?

6. Find the distancex3the mass travels while compressing the spring. (Remember that bothfriction and the spring act on the mass over this distance.)