A block of mass m = 1kg is placed on a smooth surface and is connected with a spring of constant K = 100N/m and another end of the spring is connected to a fixed wall as shown. The block is pulled by a distance A = 0.10 m from its natural length and released at t = 0
The maximum speed is after
Step1: Given data
Step2: Formula used
The formula for the angular frequency of spring in simple harmonic motion is
Step3: Calculating angular acceleration
Step4: Calculating time taken
The maximum speed of the spring will be at its natural length,
Now, the time taken to cover is
Now, the time taken to cover 0.05m will be
Therefore, the maximum speed is after .
Hence, option A is the correct answer.