Question

A 60-kg robot walks at 1 m/s. What is the robot's kinetic energy?

Answer 1

`\boxed {\boxed {\sf 30 \ Joules}}`

Explanation:

Kinetic energy can be found using the following formula:

`KE=(1)/(2)mv^2`

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.

`m= 60 \ kg \\v= 1 \ m/s`

Substitute the values into the formula.

`KE=(1)/(2) (60 \ kg) (1 \ m/s)^2`

Solve the exponent first.

• (1 m/s)²= 1 m/s * 1 m/s = 1 m²/s²

`KE= (1)/(2) ( 60 \ kg )(1 m^2/s^2)`

Multiply the numbers in parentheses.

`KE=(1)/(2) ( 60 \ kg*m^2/s^2)`

Multiply by 1/2 or divide by 2.

`KE= 30 \ kg*m^2/s^2`

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

`KE= 30 \ J`

The robot's kinetic energy is 30 Joules