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 isA. `7.5cm`B. `5 cm`C. `2.5 cm`D. `1 cm`

A `2kg` block hangs without vibrating at the bottom end of a spring wi

1.	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 isA. `7.5cm`B. `5 cm`C. `2.5 cm`D. `1 cm`
Answer» Correct Answer - 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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