Force done by the spring if a weight is attached

In summary, the force done by the spring, Fs, can be calculated using the equation Fs=mg, where m is the mass of the object and g is the acceleration due to gravity. When the object is at rest, the sum of all forces acting on it must be equal to 0, therefore Fs and Fg (the force of gravity) must have opposite signs.
  • #1
dav1d
65
0

Homework Statement



What is the force done by the spring if an object of mass m is attached.

Homework Equations


F=ma
F=-kx
Fg=mg


The Attempt at a Solution



Sum F = 0
mg-kx=0
mg-Fs=0
Fs=mg

Therefore the force done by the spring is mg? is the +/- right? for direction? Is the force right?
 
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  • #2
Properly think about it:

The mass is hanging from the spring. I assume that when it is observed, it can be considered at rest.
If it's at rest, there are only two forces acting on the mass: gravity and the spring force. Since the mass is at rest, all forces must cancel each other.
.
Since both forces are acting in opposite directions, they shouldn't have the same sign.

You stated that Sum F = 0. Therefore, Fs + Fg = 0
 
  • #3
Ok so then Fs=-Fg=-mg.
Just change the sign of my answer?
 
  • #4
Yep.
 
  • #5
ok thank you very much! i thought the sign was a bit messed up.
 

1. What is the formula for calculating the force done by a spring?

The formula for calculating the force done by a spring is F = -kx, where F is the force, k is the spring constant, and x is the displacement from the equilibrium position.

2. How does the weight of an object affect the force done by the spring?

The weight of an object does not directly affect the force done by the spring. However, the weight does determine the displacement of the spring and therefore affects the magnitude of the force.

3. What is the direction of the force done by the spring?

The direction of the force done by the spring is always opposite to the direction of the displacement from the equilibrium position. This means that if the object is pulled down, the force done by the spring will be directed upwards.

4. How does the spring constant affect the force done by the spring?

The spring constant directly affects the magnitude of the force done by the spring. A higher spring constant means a stiffer spring, resulting in a greater force for a given displacement.

5. Can the force done by the spring be negative?

Yes, the force done by the spring can be negative. This occurs when the object is pulled in the opposite direction of the spring's equilibrium position. Negative force indicates that the spring is compressing rather than stretching.

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