(3) Consider a force given by F = xyâ and the work done by this force on a mass m as the mass moves between points A and B in the diagram. Point A is at (x, y) = (1,0) and Point B at (x, y) = (0, 1/2). (a) Evaluate the work done over path 1. Path 1 follows a straight line from Point A to the origin, then a straight line to Point B (b) Evaluate the work done over path 2. Path 2 follows a straight line from Point A to Point B. (c) Is this force conservative ? (d) What is the potential energy associated with this force ?
(3) Consider a force given by F = xyâ and the work done by this force on a mass m as the mass moves between points A and B in the diagram. Point A is at (x, y) = (1,0) and Point B at (x, y) = (0, 1/2). (a) Evaluate the work done over path 1. Path 1 follows a straight line from Point A to the origin, then a straight line to Point B (b) Evaluate the work done over path 2. Path 2 follows a straight line from Point A to Point B. (c) Is this force conservative ? (d) What is the potential energy associated with this force ?
Related questions
Question
![(3) Consider a force given by F = xyâ and the work done by this force on a mass
m as the mass moves between points A and B in the diagram. Point A is at
(x, y) = (1,0) and Point B at (x, y) = (0, 1/2).
%3D
(a) Evaluate the work done over path 1. Path 1 follows a straight line from Point A
to the origin, then a straight line to Point B
(b) Evaluate the work done over path 2. Path 2 follows a straight line from Point A
to Point B.
(c) Is this force conservative ?
(d) What is the potential energy associated with this force ?
y
В
(0, 1/2)
Path 2
A
Path 1
(1, 0)
X
Path 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F001e012b-4e08-44ad-a9d9-122da7b59bd1%2F271ec3c6-a073-4922-a56f-b4fe4ef88c49%2Frcx7cyp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(3) Consider a force given by F = xyâ and the work done by this force on a mass
m as the mass moves between points A and B in the diagram. Point A is at
(x, y) = (1,0) and Point B at (x, y) = (0, 1/2).
%3D
(a) Evaluate the work done over path 1. Path 1 follows a straight line from Point A
to the origin, then a straight line to Point B
(b) Evaluate the work done over path 2. Path 2 follows a straight line from Point A
to Point B.
(c) Is this force conservative ?
(d) What is the potential energy associated with this force ?
y
В
(0, 1/2)
Path 2
A
Path 1
(1, 0)
X
Path 1
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Concept
The work done by a force on the object is given by
Where = Force vector,
= displacement vector
Answer
Step by step
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