Question #0e5ad
1 Answer
Let the spring is elongated by a length x at equilibrium condition when a block of mass m is hanged from its end.
Here force exerted by the weight of the block is
Again force constant of the spring being k,then by Hook's law
So
Now in this equilibrium state before application of sharp blow the PE of the spting-block system is
The inital downward velocity of the suspended block is v.This means it has gained a KE
So initial toral mechanical energy just after the application of blow is
Now let the maximum elongation from equilibrium position be y after the application of sharp blow. Then in this conditon total elongation becomes
So in this position the total energy is given by
By conservation of energy we have