Solving Homework Equations for Speed

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The discussion focuses on solving two physics problems involving energy conservation. For the wooden block, the potential energy stored in the spring can be calculated using the formula Us = 0.5kx^2, leading to a speed calculation when the block is released. In the second problem, the crate's gravitational potential energy as it slides down the ramp can be converted to kinetic energy to find its speed at the bottom. Both scenarios emphasize the principle of energy conservation, where potential energy transforms into kinetic energy. Understanding these concepts is crucial for accurately determining speeds in both cases.
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Homework Statement


1. An 85 g wooden block is set up against a spring. The block is pushed into the spring, compressing it a distance of 2.0cm and then released. k= 78N/m. What is the speed of the block when it reaches its initial point.

2. A 5.0kg crate slides down a smooth ramp that is elevated at an angle of 38 degrees. length of ramp= 2m. What will be the speed of the crate at the bottom of the ramp?


Homework Equations


Us= .5kx^2
Ug= mgh
KE=.5mv^2

The Attempt at a Solution


1. Us= .0156J? I don't know how to find its speed.

Any help you can provide is appreciated. Thanks in advance.
 
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The solution to both questions lie in the idea of conservation of energy.
 
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