Spring Constants problem at the High School level

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Homework Help Overview

The discussion revolves around a problem involving spring constants and energy transformations, specifically focusing on the relationship between spring potential energy and kinetic energy in a horizontal motion context.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the conversion of spring energy to kinetic energy and question how to apply relevant formulas. There are inquiries about gravitational potential energy in a horizontal motion scenario and the specifics of energy stored in the spring at different compressions.

Discussion Status

Some participants have provided guidance on using mechanical energy conservation principles, while others express confusion about applying the formulas to find speed and energy differences. Multiple interpretations of the problem are being explored without explicit consensus.

Contextual Notes

Participants note the horizontal motion of the spring and the implications for gravitational potential energy, indicating a need for clarification on how this affects the problem setup. There is also a mention of a time constraint, as one participant has been working on the problem for an extended period.

jamesgunn
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Homework Statement
A 200N/m spring is compressed 4cm and is used to launch a 0.2kg ball horizontally. How fast is the ball going when the spring has moved 3cm? How fast does the ball leave the cannon?
Relevant Equations
1/2 kx^2=mgh ?
1/2 kx^2 = mgh
 
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The spring energy goes to Kinetic Energy .
 
hutchphd said:
The spring energy goes to Kinetic Energy .
Does that mean I use the same formula? You lost me.
 
The question tells you the motion is horizontal. So what happens to the gravitational potential energy?

Do you you know the formula for kinetic energy?
 
Steve4Physics said:
The question tells you the motion is horizontal. So what happens to the gravitational potential energy?

Do you you know the formula for kinetic energy?
No, I could really use some help. I've been doing this problem for the past hour.
 
Kine
jamesgunn said:
No, I could really use some help. I've been doing this problem for the past hour.
Kinetic energy is ##\frac{1}{2}mv^2##
It's one of the most important formulae in basic physics!
 
Steve4Physics said:
Kine

Kinetic energy is ##\frac{1}{2}mv^2##
It's one of the most important formulae in basic physics!
Ok, I do know that actually. How do I apply this to get the speed for the ball though?
 
jamesgunn said:
Ok, I do know that actually. How do I apply this to get the speed for the ball though?
Q1.What is the energy stored in the spring when its compression = 4cm?

Q2. When the spring has moved 3cm, how big is its compression now? And how much energy is in the spring now?

Q3. What is the difference in the answers to Q1 and Q2? What has happened to some of the spring's energy?
 
You use mechanical energy conservation. You say kinetic + potential energy at point A is equal to kinetic + potential energy at point B. What points does it make sense to choose as A and B? Read the problem and see what you know and what you are looking for.
 
  • #10
@jamesgunn -- please show some effort, or you thread will be closed. Thank you.
 
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