Question

What is the kinetic energy of a 6.00 kg toy car that is going at 1.75 m/s across the floor?

Answer 1

9.1875 Joules

Step-by-step explanation:

The kinetic energy of an object can be given by the equation
`EK = (1)/(2) mv^(2)`, in which m is the mass and v is the velocity. Plugging in the mass and velocity values into the equation, we get:

`EK = (1)/(2) (6kg)(1.75m/s)^2\\EK = 9.1875 J`

Answer 2

`\boxed {\boxed {\sf 9.19 \ Joules}}`

Step-by-step explanation:

Kinetic energy is the energy an object possesses due to motion. The following formula is used to calculated kinetic energy.

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

In this formula, m is the mass and v is the velocity.

The car has a mass of 6.00 kilograms and a velocity of 1.75 meters per second.

• m= 6.00 kg
• v=1.75 m/s

Substitute the values into the formula.

`E_k= (1)/(2) (6.00 \ kg )(1.75 \ m/s)^2`

Solve the exponent.

• (1.75 m/s)²= 1.75 m/s *1.75 m/s = 3.0625 m²/s²

`E_k= (1)/(2)(6.00 \ kg )(3.0625 \ m^2/s^2)`

Multiply the numbers together.

`E_k=\frac {1}{2} (18.375 \ kg*m^2/s^2)`

`E_k= 9.1875 \ kg*m^2/s^2`

The original measurements of mass and velocity both have 3 significant figures, so our answer must have the same. For the number we calculated, that is the hundredths place. The 7 in the thousandths place to the right (9.1875) tells us to round to 8 up to a 9.

`E_k \approx 9.19 \ kg*m^2/s^2`

1 kilogram meter squared per second squared is equal to 1 Joule. Our answer of 9.19 kg*m²/² is equal to 9.19 Joules.

`E_k \approx 9.19 \ J`

The kinetic energy of the toy care is approximately 9.19 Joules.