sorozco6038 sorozco6038
  • 15-02-2020
  • Physics
contestada

Calculate the speed of an 6.1 × 104 kg airliner with a kinetic energy of 1.4 × 109 J. Answer in units of m/s.

Respuesta :

joseaaronlara
joseaaronlara joseaaronlara
  • 15-02-2020

Answer:

The answer to your question is v = 214. 25 m/s

Explanation:

Data

m = 6.1 x 10⁴ kg

Kinetic energy = Ke = 1.4 x 10⁹ J

v = ?

Formula

Kinetic energy = Ke = 1/2 mv²

solve for v

v² = 2Ke/m

Substitution

v² = 2(1.4 x 10⁹)/6.1 x 10⁴

Simplification

v² = 2.8 x 10⁹ / 6.1 x 10⁴

v² = 4.59 x 10⁴

v = [tex]\sqrt{4.59 x 10^{4}}[/tex]

Result

v = 214. 25 m/s

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