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?
- 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 )
- 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