A 10 kg metal block is attached to a spring of spring constant 1000 Nm-1. A block is displaced from equilibrium position by 10 cm and released. The maximum acceleration of the block is
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a
10 ms-2
b
100 ms-2
c
200 ms-2
d
0.1 ms-2
answer is A.
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Detailed Solution
We know that in spring SHM, the restoring force is proportional to displacement,i.e. F=-mω2y …(i) F=-ky …(ii)where, k = force constant of the spring.Given, m = 10 kg, A = 10 cm = 0.1 m, k = 1000 Nm-1Comparing both equations, we get ω2=km⇒ω=km=100010⇒ω=10 rads-1and acceleration in SHM, amax=-ω2·y=-102×(0.1)=-10 ms-2⇒amax=10 ms-2
A 10 kg metal block is attached to a spring of spring constant 1000 Nm-1. A block is displaced from equilibrium position by 10 cm and released. The maximum acceleration of the block is