Question

The block shown on the figure is under equilibrium on smooth surface . Spring force and contact force by ground on the block are . ?

Answer 1

Answer:

Solution

Max spring force will be at

max compression and that will

be at the instant when kinetic

energy is zero.

As spring force is conservative,

Ui+KEi=Uf+KEf [conservation of Mechanical (Energy)]

So,

Ui=2K(0)2=0,Uf=2KX2

KEi=2MU2, KEf=2M(0)2=0

So, ⇒2KX2=2MV2

⇒X=KMV [max compression]

So max spring force = KX=(KM)V