maximum distance D up the incline, stopping momentarily. The distance D is

Name: maximum distance D up the incline, stopping momentarily. The distance
Uploaded: 2024-03-20T06:57:47.000Z
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Description: maximum distance D up the incline, stopping momentarily. The distance D is

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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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maximum distance D up the incline, stopping momentarily. The distance D is

Expert Solution

Step 1

Given:

Masss , M = 0.5 Kg

Spring constant, K = 382 N/m

Compression of spring , x = 0.25 m

Step 2

We will use conservation of total mechanical energy to solve this problem.

Total elastic potential energy stored in the spring will be given by:

V_s = 0.5 k x² = 0.5 x 382 x 0.25² = 47.75 J

Now it is this energy with will make the mass M = 0.5 Kg travel.

Consider the figure:

Now it is given to as that once it reaches the distance 'D' on incline ( i.e. height h, as shown in figure ) it stops momentarily. Therefore it is clear that this the point where all the energy that was imparted to this mass by spring has been exhausted.

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