Question

ABlock of mass m is connected to one end of a spring of spring constant k,whose other end is fixed to a wall,as shown in the figure. if initally the spring is unstretched and block is given an inital velocity v,then the maximum extension in spring will be​

Answer 1

Answer:

A block of mass m, lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of spring is fixed, as shown in the figure. The block is initially at rest in its equilibrium position. If now the block is pulled with a constant force F, the maximum speed of the block is:

Explanation:

Net work done by all the forces give the change in kinetic energy -

- wherein

Let the block is pulled to a distance x

F = kx

Applying work energy theorem

Work done due to F + Work done by spring = Change in kinetic energy

i.e F.x -

kx2 =

mv2 - 0 (2)

Here work done due to spring is taken as negative because it is against the force applied.

From (1) and (2)

Option 1)

Option 2)

Option 3)

Option 4)