Question

A 2kg block slides on a horizontal floor with a speed of 4m/s . it strikes a uncompressed spring and compresses it till the block is motionless . the kinetic friction force is 15N and the spring constant is 10000N/m. The spring compresses by [AIEEE 2007] ​

Answer 1

Answer:

I'll only tell the equation, you may please solve it ahead to get the final answer.

By work energy theorem, initial kinetic energy

= Energy dissipated in friction + Elastic potential energy in the spring

Let the compression be x

So, we can write

1/2mv^2 = fx + 1/2kx^2

Just put in all the values, aa everything is given

Put m=2

v=4

f=15

k=10000

Hope this helps you !

Solve the quadratic equation to get the final compression.