Respuesta :

Answer:

[tex]\boxed {\boxed {\sf 1440 \ Joules}}[/tex]

Explanation:

Kinetic energy can be found using this formula:

[tex]E_k= \frac{1}{2} mv^2[/tex]

The mass is 20 kilograms and the velocity is 12 meters per second.

[tex]m= 20 \ kg \\v= 12 \ m/s[/tex]

Substitute the values into the formula.

[tex]E_k= \frac{1}{2} (20 \ kg)(12 \ m/s)^2[/tex]

Solve the exponent first.

  • (12 m/s)²= 12 m/s * 12 m/s = 144 m²/s²

[tex]E_k= \frac{1}{2} (20 \ kg)(144 \ m^2/s^2)[/tex]

Multiply the numbers in parentheses.

[tex]E_k= \frac{1}{2} (2880 \ kg*m^2/s^2)[/tex]

Multiply by 1/2 or divide by 2.

[tex]E_k=1440 \ kg*m^2/s^2[/tex]

  • 1 kilogram square meter per square second is equal to 1 Joule.
  • Our answer of 1440 kg*m²/s² is equal to 1440 J

[tex]E_k= 1440 \ J[/tex]

The object's kinetic energy is 1440 Joules.