Answer :

The velocity of the block A is


Given


The masses of the blocks are given as 320 g, the spring constant is given as 40 N/m, the block B is attached at a height of 40cm from the horizontal surface, with a gravity of.


Formula Used


The formula used to equate the conservation of the forces is given as Tension/Force equal to the product of spring constant/mass with compression distance/gravity.





where


T is the tension, k is the spring constant, m is the mass, x is the compression distance and g is the gravity.


Explanation


The formula used is the force or the tension, applied on the block A due to spring is given as



where X is taken as , so the tension due to spring is



By equating the y-axis direction of the force is



Placing the tension as, we get the equation as






Now finding the value of the displacement x, we get the value as




Hence, the difference in Kinetic Energy is equivalent to the force applied on the block is written as






Therefore, the velocity of the block A is


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