A block of mass 2 kg is attached with a horizontal spring of spring constant 260 N/m spring block system is initially compressed by 40 cm. When block is released it climbs up a rough inclined plane of inclination 53° as shown. If horizontal surface is smooth and coefficient of friction between block and incline is 0.4, the block rises on the incline up to a height of (g = 10 ms-2)
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a
45m
b
3225m
c
5235m
d
5225m
answer is A.
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Detailed Solution
from conservation of energy 12kx2= (mgsinθ +μmgcosθ) lwork done against frictional force and gravitaitonal force122600.42 =2045+0.435 l solving for l =1m h=lsinθ=45 m