A 1533 kg car is traveling down the road at 90.6 km/h. While traveling at this rate of speed, what is the kinetic energy of this vehicle in kilojoules?

KE = (1/2)*m*v^2

KE in joules = (1/2)*1533 kg x v^2
Convert 90.6 km/hr into m/s and substitute into the above formula, Solve for KE. I get 25.17 m/s for the conversion but you should confirm that. .

To calculate the kinetic energy of a moving object, you need to use the formula:

Kinetic Energy = 1/2 * mass * velocity^2

Given that the car has a mass of 1533 kg and is traveling at a speed of 90.6 km/h, we need to convert the speed to meters per second (m/s) first.

To convert km/h to m/s, divide the speed by 3.6, since there are 3.6 seconds in an hour.

90.6 km/h ÷ 3.6 = 25.17 m/s (rounded to two decimal places)

Now that we've converted the speed, we can substitute the values into the formula:

Kinetic Energy = 1/2 * 1533 kg * (25.17 m/s)^2

Calculating the square of the speed:

Kinetic Energy = 1/2 * 1533 kg * 633.9 m^2/s^2

Now, multiply the mass by the squared velocity, and then divide by 1000 to convert the answer to kilojoules (kJ):

Kinetic Energy = (1/2 * 1533 kg * 633.9 m^2/s^2) / 1000

Kinetic Energy = (487,902.135 kg·m^2/s^2) / 1000

Kinetic Energy = 487.902135 kJ

Therefore, the kinetic energy of the car is approximately 487.9 kilojoules.

To calculate the kinetic energy of a moving object, you can use the formula:

Kinetic energy = (1/2) * mass * velocity^2

Given:
Mass (m) = 1533 kg
Velocity (v) = 90.6 km/h

First, we need to convert the velocity to meters per second (m/s) since the SI unit for mass is kilograms and the SI unit for velocity is meters per second.

1 km/h = 1000 m / 3600 s = 5/18 m/s

Converting the velocity:

90.6 km/h * (5/18 m/s) = 25.17 m/s

Now we can calculate the kinetic energy:

Kinetic energy = (1/2) * mass * velocity^2
= (1/2) * 1533 kg * (25.17 m/s)^2

Calculating the kinetic energy:

Kinetic energy = (1/2) * 1533 * (25.17)^2 J
≈ 484,252.35 J

Converting Joules to kilojoules:

1 kJ = 1000 J

Kinetic energy in kilojoules = 484,252.35 J / 1000
≈ 484.25 kJ

Therefore, the kinetic energy of the car is approximately 484.25 kilojoules when traveling at 90.6 km/h.