Respuesta :

Answer:

We conclude that the speed of a 25 kg object that has 2500 J of kinetic energy is 14.14 m/s.

Explanation:

Given

  • Mass m = 25 kg
  • Kinetic Energy (K.E) = 2500 J

To determine

  • The speed v = ?

We know that a body can possess energy due to its movement — Kinetic Energy.

The speed with which a body moves can be determined using the formula

[tex]K.E=\frac{1}{2}mv^2[/tex]

[tex]v=\sqrt{\frac{2\times \:K.E}{m}}\:\:\:[/tex]

substituting m = 25 and K.E = 2500 in the formula

[tex]v=\sqrt{\frac{2\times 2500}{25}}[/tex]

[tex]v=\sqrt{\frac{5000}{25}}[/tex]

[tex]v=\sqrt{200}[/tex]

[tex]v=14.14[/tex] m/s

Therefore, we conclude that the speed of a 25 kg object that has 2500 J of kinetic energy is 14.14 m/s.