Work & Energy: Solving Problems with v0, k, m, g

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The discussion focuses on solving a physics problem involving work and energy, specifically using variables such as initial velocity (v0), spring force constant (k), mass (m), and gravity (g). Participants are seeking clarification on various equations that relate these variables to the displacement (x) in spring systems. The equations presented include relationships derived from conservation of energy principles, where kinetic energy is converted into potential energy. There is an emphasis on understanding the correct application of these formulas to solve the problem effectively. Overall, the thread aims to enhance comprehension of the concepts of work and energy in physics.
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Need help on problem...See attachment

New on the topic and the SUB only knows as much as we do.
Might be a lot to cover, but thanks anyway. (Also, please explain if you can)

v0-intitial velocity
sqr-square root
k-spring force constant
g-gravity
m-mass

Choices
1. x = v0*sqr((mg)/k)

2. x = v0*m/(kg)

3. x = v0*(mg)/k

4. x = v0*sqr(k/(mg)

5. x = v0*k/(gm)

6. x = v0^2/(2g)

7. x = v0*sqr(m/k)

8. x = v0*sqr(k/m)

9. x = v0^2/(2m)

10. x = v0*(mk)/g
 

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  • 10-14-2010 5;51;35 PM.jpg
    10-14-2010 5;51;35 PM.jpg
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Use conservation of energy. All the kinetic energy of the block (1/2) mv^2 goes into potential energy of the spring (1/2)kx^2
 
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