Spring Problem: Calculate Horizontal Distance of Ball Bearing

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SUMMARY

The discussion centers on calculating the horizontal distance a steel ball bearing travels when launched from a compressed spring at a 29.0-degree angle. The ball bearing, with a mass of 29.0 g, reaches a height of 1.41 m when released vertically. Participants suggest using energy analysis to determine the initial velocity, which can then be decomposed into horizontal and vertical components to find the distance traveled. The key equations involved include energy conservation principles and projectile motion calculations.

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Homework Statement



A small steel ball bearing with a mass of 29.0 g is on a short compressed spring. When aimed vertically and suddenly released, the spring sends the bearing to a height of 1.41 m. Calculate the horizontal distance the ball would travel if the same spring were aimed 29.0o from the horizontal.


The Attempt at a Solution



Ok so I know that F = -kx but I don't get k or x in this problem. So I can' use that. I am not really sure where to start with this problem. Do I use F = ma? I still wouldn't be able to get its initial velocity out of that.
 
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The easiest way to do this problem would be to use energy analysis, do you know how to do that?
 
how fast would an object dropped from a height of 1.4 meters be going. now find the horizontal and vertical components of that velocity if aimed at 29 degrees.
 

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