A marble slides along a frictionless track at a constant speed u before encountering a section of the track that is covered with a thin layer of putty. The instantaneous velocity v of the marble as it slides past the putty, as a function of time t, is given by v (t) = u – bt + ct³ where t = 0 at the moment when the marble first comes into contact with the putty. As the marble exits the region covered in putty, the marble's instantaneous acceleration goes to zero. For u = 2.40 m/s, b = 3.55m/s², and c = 7.30m/s“, calculate the length Ax of the track that is covered with putty.

A marble slides along a frictionless track at a constant speed u before encountering a section of the track that is covered with a thin layer of putty. The instantaneous velocity v of the marble as it slides past the putty, as a function of time t, is given by v (t) = u – bt + ct³ where t = 0 at the moment when the marble first comes into contact with the putty. As the marble exits the region covered in putty, the marble's instantaneous acceleration goes to zero. For u = 2.40 m/s, b = 3.55m/s², and c = 7.30m/s“, calculate the length Ax of the track that is covered with putty.

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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Concept explainers

Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.

Question

A marble slides along a frictionless track at a constant speed u before encountering a section of the track that is covered
with a thin layer of putty. The instantaneous velocity v of the marble as it slides past the putty, as a function of time t, is
given by
v (t) = u – bt + ct³
where t = 0 at the moment when the marble first comes into contact with the putty. As the marble exits the region covered
in putty, the marble's instantaneous acceleration goes to zero.
For u = 2.40 m/s, b = 3.55m/s?, and c = 7.30m/s*, calculate the length Ax of the track that is covered with putty.
Дх
m
* TOOLS
x10

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