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If you double your speed, your kinetic energy will increase by: A. Double B. Triple C. Quadruple D. Quintuple

1 Answer

3 votes

Answer:

C. Quadruple

Step-by-step explanation:


m = mass


v_(i) = initial speed =
v


K_(i) = initial kinetic energy

Initial kinetic energy is given as


K_(i) = (0.5) m v_(i)^(2)\\K_(i) = (0.5) m v^(2)


v_(f) = Final speed =
2 v

Final kinetic energy is given as


K_(f) = (0.5) m v_(f)^(2)\\K_(f) = (0.5) m (2v)^(2)\\K_(f) = 4 (0.5) m v^(2)\\K_(f) = 4 K_(i)

Hence the kinetic energy is quadruple

User Kliszaq
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