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  4. One end of a spring of force constant k1 is attached to the ceiling of an elevator. A block of mass 1.5 kg is attached to the other end. Another spring of force constant k2 is attached to the bottom of the mass and to the floor of the elevator as shown in the figure. At equilibrium, the deformation in both the springs is equal and is 40 cm. If the elevator moves with constant acceleration upward, the additional deformation in both the springs is 8 cm. Find the elevator's acceleration (g=10 m s -2).

Q. One end of a spring of force constant is attached to the ceiling of an elevator. A block of mass is attached to the other end. Another spring of force constant is attached to the bottom of the mass and to the floor of the elevator as shown in the figure. At equilibrium, the deformation in both the springs is equal and is . If the elevator moves with constant acceleration upward, the additional deformation in both the springs is . Find the elevator's acceleration .

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Solution:

At equilibrium,
...(i)

In case of constant acceleration,
...(ii)
From Eqs. (i) and (ii), we get

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