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Question

A variable force, given by the 2dimensional vector F=(3x2^i+4^j), acts on a particle. The force is in newton and x is in metre. What is the change in the kinetic energy of the particles as its moves from the point with coordinates (2,3) to (3,0)? The coordinates are in metres.)

A
7 J
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B
Zero
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C
+7 J
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D
+19 J
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Solution

The correct option is B +7 J
We know, Work Done =F.S
Here, dw=Fds

W= 323x2dx +034dy

= 332x2dx +403dy

=[x3]32+4[y]03


=[x3]32+4[y]03

=[3323]+4[03]

=+7J

since work done is equal to the change in kinetic energy, option C is correct.

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