# Help Solve 2012 F=ma Problem 21

• ksrivatsan
In summary, the conversation was about a person training for a physics exam and needing help with a problem involving a spring system. The problem statement provided details about the setup and weight of the system, and the homework equations were mentioned. The solution was discussed, which involved combining the compressions of the bottom and top springs to find the total compression.
ksrivatsan
Hi,

I'm just training for the 2013 F=ma exam, and I took some old exams. I tried to do the 2012 exam, and could not figure out problem 21. Can anyone help me, please?

## Homework Statement

A spring system is set up as follows: a platform with weight 10 N is on top of two springs, each with a spring constant of 75 N/m. On top of the platform is a third spring with spring constant 75N/m. If a ball with weight of 5.0 N is fastened to the top of the third spring and then slowly lowered, by how much does the height of the spring system change?

(A) 0.033 m
(B) 0.067 m
(D) 0.133 m
(E) 0.600 m

F=kx

## The Attempt at a Solution

The bottom springs act as one spring with K=150 N/m, thus will contract 0.033 m under the weight
The top spring will compress 0.067 m under the weight

Last edited:
ksrivatsan said:
The bottom springs act as one spring with K=150 N/m, thus will contract 0.033 m under the weight
The top spring will compress 0.067 m under the weight
Yes, that's all there is to it. You are just combining the two compressions to get the total compression.

Thanks Doc Al!

## What is the "Help Solve 2012 F=ma Problem 21"?

The "Help Solve 2012 F=ma Problem 21" is a physics problem that was proposed as part of the 2012 F=ma exam, a nationwide physics competition in the United States. It challenges students to apply their knowledge of classical mechanics to solve a complex problem involving forces, mass, and acceleration.

## Why is it important to solve this problem?

Solving the "Help Solve 2012 F=ma Problem 21" is important because it tests students' understanding and application of fundamental physics principles. It also helps to identify areas where students may need further practice or improvement.

## What is the difficulty level of this problem?

The "Help Solve 2012 F=ma Problem 21" is considered a challenging problem, as it requires a solid understanding of classical mechanics and the ability to apply it to a complex scenario. It is typically given to high school students who have completed a year of physics coursework.

## How can I approach solving this problem?

To solve the "Help Solve 2012 F=ma Problem 21", it is important to carefully read and understand the given scenario, identify the relevant principles and equations, and then systematically work through the problem using a logical and organized approach. It may also be helpful to discuss and brainstorm solutions with others.

## Are there any resources available to aid in solving this problem?

There are numerous online resources and study guides available that provide tips and strategies for solving physics problems, including the "Help Solve 2012 F=ma Problem 21". Additionally, seeking guidance and assistance from a physics teacher or tutor can also be beneficial in tackling this problem.

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