Respuesta :

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