Adart is inserted into a spring-loaded dart gun by pushing the spring in by a distance x. for the next loading, the spring is compressed a distance 2x. how much faster does the second dart leave the gun compared to the first? the book gives an answer of "two times as much" but i not totally clear on what equation this is coming from. is it the equation: w(ext) = 1/2mvf^2 - 1/2mvi^2 where the initiial velocity would be 0?

The second dart leaves the gun two times as faster than the first one.

Explanation:

Assuming no energy loss during the spring-dart energy transfer, we have by the conservation of energy principle

Given an arbitrary and its double, , launch velocities are

0.11 m/s and 0.28 m/s should be correct

-first use of geothermal energy occurred more than 10,000 years ago in north america by american paleo-indians

-the first industrial use of geothermal energy began near pisa, italy in late 18th century

-in 1904, italian scientist piero ginori conti invented the first geothermal electric power plant in which steam was used to generate the power

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hope this