# A mass oscillating at the end of a spring

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1. Apr 21, 2015

### Trinity Nicole

1. A 250-g object hangs from a spring and oscillates with an amplitude of 5.42 cm. The spring constant is 4.80 N/m.
a) What is the acceleration of the object when the displacement is 4.27 cm [down]?

I put:
m=0.25 kg
d=0.0542 m
k=48 N/m
x=0.0427m
Therefore:
a=(48 N/m)(0.0427 m)/0.25 kg
a=8.10 m/s^2 [up]
b) What is the maximum speed of the object?
I put:
m=0.25 kg
d=0.0542 m
k=48 N/m
x=0.0427m
a=8.10 m/s^2 [up] (I think)
Not sure which equation to use...
c) At what position will the maximum speed occur?

2. Apr 21, 2015

### Staff: Mentor

It looks like you have a typo there -- can you re-check the problem statement?

3. Apr 21, 2015

### Trinity Nicole

i'm sorry, what is my typo?

4. Apr 21, 2015

### Staff: Mentor

5. Apr 21, 2015

### haruspex

There is another error in the OP solution to a).
In the equation F=ma, F is the net of all forces in the direction of the acceleration. What are all the forces acting on the mass?