solve the question.. with explanation..
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hey buddy hope it helpss..
plzz refer to attachment ..
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(a)5.5 cm
Explanation:
system: block
by work energy theorem,
work done by total forces (internal+external) on the system is equal to change in kinetic energy....
=>work done by friction+ work done by spring force=change in kinetic energy
[let the direction of motion of black be +ve..]
=>-15*∆x + (- 1/2*10000*∆x²)=1/2*2*0²-1/2*2*4²
=>-15∆x - 5000∆x²=-16
=>5000∆x²+15∆x-16=0
=>∆x=(-15±√(15²-4*5000*-16))/(2*5000) m
=>∆x=(-15±√(225+320000))/(10000) m
=>∆x=(-15±565.88)/10000 m
=>∆x=550.88/10000 m
[as ∆x should be positive as xf here is greater than xi]
=>∆x≈5.5 cm
thus,the compression of spring =distance Moved by spring=5.5 cm
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