A block of mass 3.63kg.slides on a horizontal frictionless table with a speed of 1.22m/s.it is brought to rest in compressing a spring in its path.By how much is the spring compressed if its force constant is 135N/m
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Explanation:
The work done by the spring force on the block as the spring is compressed a distance d from its rest state is given by
Ws = – (1/2) k d^2
Change in K.E = Kf – Ki = 0 – (1/2) m v^2
from Work nergy theorem
– (1/2) m v^2 = – (1/2) k d^2
d = v \sqrt(m/k)
put all the values and you will find the answer.
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