A racing car has a mass of 1530 kg. The acceleration of gravity is 9.8 m/s^2. What is its kinetic energy if it has a speed of 136 km/h?
Answer in units of J.
To find the kinetic energy of the racing car, we can use the equation:
Kinetic Energy (KE) = 1/2 * mass * velocity^2
First, let's convert the speed from km/h to m/s:
Given speed = 136 km/h
1 km = 1000 m
1 hour = 3600 seconds
So, converting km/h to m/s:
Speed = 136 * (1000/3600) = 37.78 m/s
Now, we can substitute the values into the equation:
Mass (m) = 1530 kg
Velocity (v) = 37.78 m/s
Kinetic Energy (KE) = 1/2 * 1530 kg * (37.78 m/s)^2
Calculating the kinetic energy:
KE = 1/2 * 1530 kg * (37.78 m/s)^2
= 0.5 * 1530 kg * 1428.6884 m^2/s^2
= 1100477.14 J
Therefore, the kinetic energy of the racing car is approximately 1100477.14 J.