- #1

hawkeye1029

- 38

- 1

## Homework Statement

A 2.0 kg object starting at rest falls 3.0 m onto a 4.0 N/m spring. How far will the spring be compressed?

m = 2.0 kg

v

_{o}= 0 m/s

^{2}

y = 3 m

k = 4 N/m

g = -9/8 m/s

^{2}

## Homework Equations

eq1: Fg = mg

eq2: F

_{spring}= -kx

## The Attempt at a Solution

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eq1: F

_{g}= mg

F

_{g}= (2.0kg)(9.8m/s

^{2})

F

_{g}= 19.6N

F

_{spring}= -kx

19.6N = (-4N/m)x

x = -4.9m -> compressed 4.9m

Since they gave y = 3m, I feel like I need to use it, but I'm not sure where. The answer key says the correct answer is 5.42m.

Thank you for any help.