A 2.14 kg block is dropped from a height of 43.6 cm onto a spring of force constant 18.6 N/cm. Find the maximum distance the spring will be compressed.
I know that the mass is 2.14 kg, the force constant of the spring is K=1860 N/m.
I assume the final velocity, the final height of the block after being dropped, and the final distance the spring will be compressed are 0.
The Attempt at a Solution
To find the initial velocity, I use the constant acceleration equation:
Since I know (or assume) a conservative force, I use the equation:
x=.139 m = 13.9 cm
The book got 11.1 cm. Can anyone tell me what I did wrong and how to do the problem correctly? Must help is appreciated. Thanks!