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.