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Sagot :
Answer:
change in the angular momentum gives a greater change in the kinetic energy since it has a quadratic dependence with the angular velocity
Explanation:
Let's write the definition of angular momentum
L = I w
the kinetic energy is
K = ½ I w²
w = L / I
we substitute
K = ½ I L² / I²
K = L² / 2I
K / L = w / 2
therefore a change in the angular momentum gives a greater change in the kinetic energy since it has a quadratic dependence with the angular velocity
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