# What is k for the bottom spring?

• emily081715
In summary, the conversation discusses the scenario of a 5.0-kg block being lowered onto a vertical spring and the resulting forces on the block. Part A mentions the reading on the scale before the block touches the spring, which is 49.1N. Part B asks for the value of k for the bottom spring, which is calculated to be 1066.7N/m. The conversation also discusses the forces acting on the block and how they are not accelerating.
emily081715

## Homework Statement

A 5.0-kg block suspended from a spring scale is slowly lowered onto a vertical spring.
Part A: What does the scale read before the block touches the vertical spring?
Part B: If the scale reads 32 N when the bottom spring is compressed 30 mm, what is k for the bottom spring?

F=kx

## The Attempt at a Solution

K=32/0.03= 1066.7N/m

So would 32 N be the force the block exerts on the bottom spring ?

BvU said:
So would 32 N be the force the block exerts on the bottom spring ?
thats what i interpret from the question, is that not correct?

If the scale reads 32 N, and ##g## times the mass is 49.1 N ...
Draw a diagram of the forces on the block.

BvU said:
If the scale reads 32 N, and ##g## times the mass is 49.1 N ...
Draw a diagram of the forces on the block.
Both forces are acting down so would it be (32+49.)1/0.03=2703

The scale is pulling the block up
The bottom spring is pushing the block up
The Earth is pulling the block down
Fnet = ma and the block is not accelerating

BvU said:
The scale is pulling the block up
The bottom spring is pushing the block up
The Earth is pulling the block down
Fnet = ma and the block is not accelerating
Would it still not be what I did earlier

No.

BvU said:
No.
why? what is the mistake, should the forces be subtracted

Draw the forces the scale and the spring exert. Which way do they point ?

## 1. What is k for the bottom spring?

K is the symbol used to represent the spring constant, which is a measure of the stiffness of the spring. It is measured in units of newtons per meter (N/m).

## 2. How is k for the bottom spring calculated?

K is calculated by dividing the force applied to the spring by the displacement it causes. This can be represented by the equation k = F/x, where F is the force and x is the displacement.

## 3. Does k for the bottom spring change?

Yes, the spring constant can change depending on factors such as the material, length, and thickness of the spring. It can also change if the spring is stretched or compressed beyond its elastic limit.

## 4. Why is k important for the bottom spring?

K is important because it determines the relationship between the force applied to the spring and the resulting displacement. It also affects the natural frequency and resonance of the spring.

## 5. How does the value of k affect the behavior of the bottom spring?

The higher the value of k, the stiffer the spring will be and the more force it will take to move it a certain distance. A lower value of k means the spring is more flexible and requires less force for the same displacement. Additionally, a lower value of k can lead to a longer period of oscillation for a spring-mass system.

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