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Q.

A particle of mass ‘m’ moves on a straight line with its velocity varying with the distance travelled according to the equation v=ax , where ‘a’ is a constant. Find the total work done by all the forces during a displacement from x=0 to x=d                           

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a

ma2d2

b

mad22

c

mad2

d

mad24

answer is D.

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Detailed Solution

We know that

a=dvds.dsdt

a=dvds.v

ads=vdv

a∫0dds=∫0dvdv

ad=v22

ad=(ax)22⇒d=ax2

∴F=ma S

=ma (ad2)⇒ma2d2

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