What is the Landing Speed?
As a 15000 kg jet plane lands on an aircraft carrier, its tail hook snags a cable to slow it down. The cable is attached to a spring with spring constant 60000 N/m.
If the spring stretches 30 m to stop the plane, what was the plane’s landing speed?
Variables known:
m= 15000 kg
k= 60000 N/m
x= 30 m
mv2/2 = kx2/2
v = x√(k/m)
Plug it in
= 30 * √(60000/15000) = 60 m/s
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