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A 2kg block hangs without vibrating at t...

A `2kg` block hangs without vibrating at the bottom end of a spring with a force constant of `400 N//m`. The top end of the spring is attached to the ceiling of an elevator car. The car is rising with an upward acceleration of `5 m//s^(2)` when the acceleration suddenly ceases at time `t = 0` and the car moves upward with constant speed `(g = 10 m//s^(2)`
The amplitude of the oscillation is

A

`7.5cm`

B

`5 cm`

C

`2.5 cm`

D

`1 cm`

Text Solution

Verified by Experts

The correct Answer is:
C
`kx_(0) = ma`
` x_(0) = (ma)/(K) = (2 xx 5)/(400)m`
` = 0.025m`
` = 2.5cm`
`:. A = x_(0) = 2.5 cm`
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