How High Will a Pebble Go When Shot from a Compressed Spring?

AI Thread Summary
To determine how high a pebble will rise when shot from a compressed spring, the potential energy stored in the spring must be calculated using the formula for spring potential energy (PE = 1/2 k x^2), where k is the spring constant and x is the compression distance. The average force of 50.0 N can help find the spring constant, and the gravitational potential energy (PE = mgh) can be used to find the height, where m is the mass of the pebble and g is the acceleration due to gravity. By equating the spring potential energy to the gravitational potential energy, the maximum height can be solved. The pebble, weighing 20.0 g, will rise to a height determined by these calculations. Understanding the energy transformation between spring potential energy and gravitational potential energy is key to solving the problem.
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The question I'm doing for homework that I can't get is...

A spring is compressed 10.0 cm by an average force of 50.0 N. If the spring shoots a 20.0 g pebble straight up into the air, how high will it rise?

It would be sooper awesome if you could help with this!
 
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Where did you get stuck? Show your work to get help. (Hint: Spring PE gets transformed to Gravitational PE.)
 
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