A particle in the ry-plane travels along a spiral path C beginning at a point P that is 8 units fromthe origin and ending at a point Q that is 2 units from the origin. The particle makes 2.5 revolutionsaround the origin along the way. What is the work done by the gravitational field-y-xj in moving the particle along its path?F(x, y) =(x² + y²)3/2i+(x² + y²)³/2Select one:3a.4O b.1O c.O d. 1е.16m | 00

Name: A particle in the ry-plane travels along a spiral path C beginning at
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Description: A particle in the ry-plane travels along a spiral path C beginning at a point P that is 8 units fromthe origin and ending at a point Q that is 2 units from the origin. The particle makes 2.5 revolutionsaround the origin along the way. What is the wo

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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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A particle in the ry-plane travels along a spiral path C beginning at a point P that is 8 units from
the origin and ending at a point Q that is 2 units from the origin. The particle makes 2.5 revolutions
around the origin along the way. What is the work done by the gravitational field
-y
-x
j in moving the particle along its path?
F(x, y) =
(x² + y²)3/2
i+
(x² + y²)³/2
Select one:
3
a.
4
O b.
1
O c.
O d. 1
е.
16
m | 00

Expert Solution

Step 1

Given:

The initial position of the particle = 8 unit from origin.

The final position of the particle = 2 unit from origin.

The equation of force is given as,

$F (x, y) = - \frac{x}{{(x^{2} + y^{2})}^{3 / 2}} \hat{i} - \frac{y}{{(x^{2} + y^{2})}^{3 / 2}} \hat{j}$

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