A spring with a constant of #6 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #8 kg# and speed of #1 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?
Compression of the spring
Suppose the spring be compressed by
Force which compressed the string is the force applied by the moving body which came to rest after acting on the spring.
The speed of the object changed from
Using the expression from linear motion
Inserting the given values we obtain
recall that the compressing objects moves distance
We know that Force
From Hooke's law for springs we know that
Now inserting the various values in the equation we obtain