Question

Determine the kinetic energy of a 2000 kg roller coaster car that is moving at the speed of 10 ms

Answer 1

The kinetic energy of the 2000 kg roller coaster car moving at a speed of 10 m/s is 100000 Joules.

Step-by-step explanation:

The kinetic energy of the roller coaster car can be calculated using the formula:

KE = 1/2 * mv^2

where KE is the kinetic energy, m is the mass of the car (2000 kg), and v is the velocity of the car (10 m/s).

Let's plug in the values:

KE = 1/2 * 2000 kg * (10 m/s)^2 = 100000 J

Therefore, the kinetic energy of the 2000 kg roller coaster car moving at a speed of 10 m/s is 100000 Joules.

Answer 2

`\boxed {\boxed {\sf 100,000 \ Joules}}`

Step-by-step explanation:

Kinetic energy is energy due to motion. The formula is half the product of mass and velocity squared.

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

The mass of the roller coaster car is 2000 kilograms and the car is moving 10 meters per second.

• m= 2000 kg
• s= 10 m/s

Substitute these values into the formula.

`E_k= (1)/(2) (2000 \ kg ) * (10 \ m/s)^2`

Solve the exponent.

• (10 m/s)²= 10 m/s * 10 m/s= 100 m²/s²

`E_k= (1)/(2) (2000 \ kg ) * (100 \ m^2/s^2)`

Multiply the first two numbers together.

`E_k= 1000 \ kg * (100 \ m^2/s^2)`

Multiply again.

`E_k= 100,000 \ kg*m^2/s^2`

• 1 kilogram square meter per square second is equal to 1 Joule.
• Our answer of 100,000 kg*m²/s² is equal to 100,000 Joules.

`E_k= 100,000 \ J`

The roller coaster car has 100,000 Joules of kinetic energy.