In figure a block of mass 2 kg starts sliding from top of the track, maximum compression in the spring is
(All surface are smooth)
k = 100 N/m
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here 3 energy conversions take place
PE to KE and then to PE of spring
since energy is lost no where
therefore
PE at top=PE of spring
mgh=1/2*k*x²
2*2*10=1/2*100*x²
0.8=x²
x=2/√5 m
Hope this helps.
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