A 0.0125 kg bullet strikes a 0.240 kg block attached to a fixed horizontal spring whose spring constant is 2.25*10^3N/m and sets it into oscillation with amplitude of 12.4 cm. What was the initial speed of the bullet if the two objects move together after impact?

The  value is  

Explanation:

From the question we are told that

   The  mass of bullet  is  

   The  mass of the block is  

    The  spring constant is  

   The  amplitude is  

Generally according to the conservation of momentum is  

given that the block was at rest we have that

Now the angular velocity of the both bodies is mathematically represented as

Given that the system after collision set into oscillation

The maximum  linear velocity of the system after impact  is mathematically represented as

From above equation

=>    

=>