WilliamYES2003 WilliamYES2003
  • 03-01-2020
  • Physics
contestada

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

Respuesta :

JemdetNasr JemdetNasr
  • 04-01-2020

Answer:

C. Quadruple

Explanation:

[tex]m[/tex] = mass

[tex]v_{i}[/tex] = initial speed = [tex]v[/tex]

[tex]K_{i}[/tex] = initial kinetic energy

Initial kinetic energy is given as

[tex]K_{i} = (0.5) m v_{i}^{2}\\K_{i} = (0.5) m v^{2}[/tex]

[tex]v_{f}[/tex] = Final speed = [tex]2 v[/tex]

Final kinetic energy is given as

[tex]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}[/tex]

Hence the kinetic energy is quadruple

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