Elastic Potential Energy- finding spring constant

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Homework Help Overview

The discussion revolves around a physics lab experiment involving a spring and a ball. The original poster describes a scenario where a spring launches a 22 g ball horizontally after being compressed by 18 cm, with the ball traveling a distance of 5.2 m and falling 1.5 m vertically.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss using energy conservation principles to relate elastic potential energy to the motion of the ball. The original poster attempts to calculate elastic potential energy but encounters difficulties. Questions arise regarding how to find the velocity of the ball after it is released from the spring.

Discussion Status

The conversation is ongoing, with some participants suggesting the use of energy conservation to analyze the problem. There is an exploration of different equations related to the motion of the ball, indicating a productive exchange of ideas without a clear consensus yet.

Contextual Notes

Participants are navigating the relationship between elastic potential energy and the ball's motion, with specific attention to the effects of gravity and horizontal distance traveled. The original poster's attempt to calculate energy is noted, but no specific values or methods have been conclusively established.

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Homework Statement



In a physics lab experiment, a spring clamped to the table shoots a 22 g ball horizontally. When the spring is compressed 18 cm, the ball travels horizontally 5.2 m and lands on the floor 1.5 m below the point at which it left the spring.

Homework Equations



Us= .5kx^2

The Attempt at a Solution



I tried to find the elastic potential energy and then i got stuck.
 
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Use energy conservation. When the spring is compressed the ball is stationary so all its energy is elastic potential energy. When the spring is released the ball loses potential energy and gains kinetic energy.
 
how would i find the velocity?
 
With [itex]y=y_0+v_{0,y}t-\frac{1}{2}gt^2[/itex] and [itex]x=v_{0,x} t[/itex].
 

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