Respuesta :

Answer:

[tex]\boxed {\boxed {\sf 30 \ Joules}}[/tex]

Step-by-step explanation:

Kinetic energy can be found using the following formula:

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

Where m is the mass and v is the velocity.

The robot has a mass of 60 kilograms and a velocity of 1 meter per second.

[tex]m= 60 \ kg \\v= 1 \ m/s[/tex]

Substitute the values into the formula.

[tex]KE=\frac{1}{2} (60 \ kg) (1 \ m/s)^2[/tex]

Solve the exponent first.

  • (1 m/s)²= 1 m/s * 1 m/s = 1 m²/s²

[tex]KE= \frac{1}{2} ( 60 \ kg )(1 m^2/s^2)[/tex]

Multiply the numbers in parentheses.

[tex]KE=\frac{1}{2} ( 60 \ kg*m^2/s^2)[/tex]

Multiply by 1/2 or divide by 2.

[tex]KE= 30 \ kg*m^2/s^2[/tex]

  • 1 kg*m²/s² is equal to 1 J
  • Our answer: 30 kg*m²/s² is equal to 30 Joules

[tex]KE= 30 \ J[/tex]

The robot's kinetic energy is 30 Joules