Hooke's Law: Finding the Spring Constant with a 50g Mass and 7.0cm Stretch

In summary, Hooke's Law is a principle in physics stating that the force applied to a spring is directly proportional to its stretch or compression. To find the spring constant, you can use the formula k = mg/x, where k is the spring constant, m is the mass in kilograms, and x is the stretch or compression in meters. The spring constant is typically measured in N/m or kg/s^2. The mass does not directly affect the spring constant, but it can indirectly impact it by changing the stretch or compression of the spring. While Hooke's Law is applicable to most elastic materials, there may be exceptions due to unique properties.
  • #1
flyingpig
2,579
1

Homework Statement




A 50g mass hangs at the end of a hookean spring. When a 20g more is added to the spring, it stretches 7.0cm more. Find the spring constant.

The Attempt at a Solution



Isn't it just

mg = kx

mg/x = k

Shouldn't m = 70g instead of 20g?

My key says m = 20g?
 
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  • #2
flyingpig said:
Shouldn't m = 70g instead of 20g?
That would give the total elongation from the unweighted position, not the additional elongation.
 

What is Hooke's Law?

Hooke's Law is a principle in physics that states the force applied to a spring is directly proportional to the amount of stretch or compression of the spring.

How can I find the spring constant using a 50g mass and 7.0cm stretch?

To find the spring constant using a 50g mass and 7.0cm stretch, you can use the formula k = mg/x, where k is the spring constant, m is the mass in kilograms, and x is the stretch or compression in meters. In this case, you would convert the mass of 50g to 0.05kg and the stretch of 7.0cm to 0.07m. Then, you can plug these values into the formula to calculate the spring constant.

What units are used for the spring constant?

The spring constant is typically measured in units of newtons per meter (N/m) or kilograms per second squared (kg/s2).

How does the mass affect the spring constant?

The mass does not directly affect the spring constant. The spring constant is determined by the characteristics of the spring itself, such as its material and shape. However, the mass can indirectly affect the spring constant by changing the amount of stretch or compression of the spring.

Is Hooke's Law applicable to all springs?

Hooke's Law is applicable to most elastic materials, as long as the force applied is within the elastic limit of the material. However, there may be some materials that do not follow Hooke's Law due to their unique properties.

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