Is it possible to calculate this question with force

[ILOVEPHYSIC]

A block with initial speed 3 meter per second compress the spring in a frictional surface. Given that the spring constant k = 11000 N/M, mass of the block= 2.5 kg, coefficient of kinetic friction= 0.4. Calculate distance d that block travel until it momentarily stopped.

This is my method

initial KE = final PE + Work done by friction

However, is it possible to use force to calculate distance d since the acceleration of block depend on the extent of how much the block compress the spring.

 

[BvU]

Yes it is. Fill in the proper energy expressions (you do not yet have the right ones in your equation)

[edit] 'perhaps' you will need two equations for two distinct phases in this exercise

Oh, and: dear lover,

 

[gneill]

However, is it possible to use force to calculate distance d since the acceleration of block depend on the extent of how much the block compress the spring.

Yes, but it won't be nearly as simple as just using energy concepts. Essentially you'll have to integrate an equation of motion where the acceleration is changing with position.

 

[BvU]

Ah... I missed the actual question. So my reply may look somewhat weird
Thanks, Gneill, for answering that part.