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Q.

A spring of spring constant 5x103 N/m  is stretched initially by 5 cm from the unscratched position. Then the work required to stretch it further by another 5 cm is

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a

6⋅25N−m

b

12⋅50N−m

c

18 . 75 N-m

d

25 '00 N-m

answer is C.

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Detailed Solution

for a spring .U =12kx12where x1 =5 cmWhen the spring is further stretched by 5 cm, thenU′=12kx22Now W=U′−U=12kx22−x12=125×10310×10−22−5×10−22 =18.75Nm
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