Maximum distance spring compressed.

[AnnieD]

A block of mass m = 1.9 kg is dropped from height h = 77 cm onto a spring of spring constant k = 1510 N/m (Fig. 8-38). Find the maximum distance the spring is compressed.

My attempt:
mgh = 1/2kx^2
(1.9)(9.8)(.77) = (.5)(1510)x^2
x = 0.138m

But it's not the correct answer.
What am I doing wrong?

 

[marlon]

gravity is still working on the block when it is compressing the spring

by writing h in your potential energy, you are saying that h is the distance onlong which the block "feels" gravity

you are going to need to add something there...

marlon

 

[thomate1]

Your solution appears to be correct. However, it is possible that the given values for the mass, height, and spring constant are not accurate or there may be other factors at play that are not accounted for in this scenario. It is always important to double check your calculations and ensure that all relevant variables are included in your solution. Additionally, you may want to consider the impact of air resistance or other external forces that could affect the maximum distance the spring is compressed.