A particle moving in the xy-plane is subject to a force F(x, y) = (60 Nm²)- (xi + yĵ) (x² + y²)3/2¹ where x and y are in meters. Calculate the work (in J) done on the particle by this force as it moves in a straight line from the point (7 m, 6 m) to the point (5 m, 8 m). J Enter a number.
A particle moving in the xy-plane is subject to a force F(x, y) = (60 Nm²)- (xi + yĵ) (x² + y²)3/2¹ where x and y are in meters. Calculate the work (in J) done on the particle by this force as it moves in a straight line from the point (7 m, 6 m) to the point (5 m, 8 m). J Enter a number.
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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Calculate the work done on the particle.
![**Problem Statement:**
A particle moving in the xy-plane is subject to a force
\[
\vec{F}(x, y) = (60 \, \text{N} \cdot \text{m}^2) \frac{(x\hat{i} + y\hat{j})}{(x^2 + y^2)^{3/2}}
\]
where \( x \) and \( y \) are in meters.
Calculate the work (in Joules) done on the particle by this force as it moves in a straight line from the point \((7 \, \text{m}, 6 \, \text{m})\) to the point \((5 \, \text{m}, 8 \, \text{m})\).
\[ \boxed{\phantom{\text{answer}}} \, \text{J} \]
**Instructions:**
- Enter a number in the box provided for the work in Joules.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd75a0cba-20f2-443d-a1e9-f3f1ac2380ac%2F73d21686-b4e1-462d-a0af-c338e57e99b8%2F74a3ec_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A particle moving in the xy-plane is subject to a force
\[
\vec{F}(x, y) = (60 \, \text{N} \cdot \text{m}^2) \frac{(x\hat{i} + y\hat{j})}{(x^2 + y^2)^{3/2}}
\]
where \( x \) and \( y \) are in meters.
Calculate the work (in Joules) done on the particle by this force as it moves in a straight line from the point \((7 \, \text{m}, 6 \, \text{m})\) to the point \((5 \, \text{m}, 8 \, \text{m})\).
\[ \boxed{\phantom{\text{answer}}} \, \text{J} \]
**Instructions:**
- Enter a number in the box provided for the work in Joules.
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