Initially, a block of mass m is at rest on a frictionless floor and the spring is in a relaxed condition. One end of the spring is rigidly attached to the block and the other end is fixed to a wall. A constant force is applied on the block as shown in the figure. The maximum velocity of the block is

Question

Initially, a block of mass m is at rest on a frictionless floor and the spring is in a relaxed condition. One end of the spring is rigidly attached to the block and the other end is fixed to a wall. A constant force is applied on the block as shown in the figure. The maximum velocity of the block is, F m K, F 2 m K, F 2 m K, 2 F m K

MARKS App · Accepted Answer

The block attains maximum speed when it passes through its equilibrium position. F = K x x = F K From work-energy theorem - 1 2 K K F 2 + F F K = 1 2 m v m a x 2 F 2 2 K = 1 2 m v m a x 2 v m a x = F m K

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