(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 ?
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Question
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
Concept
The work done by a force on the object is given by
Where 
= Force vector, 
= displacement vector
Answer
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