# Suppose you are driving in the High Sierras from Mammoth Mountain to the Owens Valley 2007 m below.?

If the mechanical energy of your car were conserved, what would be your approximate final speed?

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- Andrew SmithLv 72 months ago
As the question says "approximate" I will use h = 2000 and g = 10

v^2 = 2gh = 20*2000 = 40000

v = sqrt( 2gh ) = 200 m/s ( 720 km/hr or about 450 mph )

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- Jim MoorLv 72 months ago
If everything were perfect, Potential Energy would become Kinetic Energy.

mgh = ½ mv²

v = √2gh = √2*9.80665 m/s²*2007m

v = 198.40335959857131411195609324912 m/s

Adjusting for 4 sigfigs: 198.4 m/s

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