A racing car has a mass of 1770 kg.
The acceleration of gravity is 9.8 m/s2 . What is its kinetic energy if it has a speed
of 133 km/h?
Answer in units
change km/hr to m/s
KE= 1/2 mass*velcoity^2
You teacher is throwing you a red herring with the acceleration of gravity. Don't bite.
To calculate the kinetic energy of the racing car, we can use the formula:
Kinetic Energy (KE) = 0.5 * mass * velocity^2
1. Convert the speed from km/h to m/s:
Speed = 133 km/h
= 133 * (1000/3600) m/s
= 36.9444 m/s (rounded to four decimal places)
2. Substitute the given values into the formula:
KE = 0.5 * 1770 kg * (36.9444 m/s)^2
3. Calculate the kinetic energy:
KE = 0.5 * 1770 kg * (36.9444 m/s)^2
= 0.5 * 1770 * 1363.7729 m^2/s^2 (rounded to four decimal places)
Using a calculator, we can solve this equation:
KE ≈ 42833839.489 J (rounded to four decimal places)
Hence, the kinetic energy of the racing car is approximately 42,833,839.489 Joules.
To find the kinetic energy of the racing car, we need to use the equation:
Kinetic Energy = (1/2) * mass * velocity^2
First, let's convert the speed from km/h to m/s. We know that:
1 km = 1000 m
1 hour = 3600 seconds
So, 133 km/h can be converted to m/s as follows:
133 km/h * (1000 m/1 km) * (1 hour/3600 seconds) = 36.94 m/s (approx)
Now, we have the speed in m/s which is 36.94 m/s. Applying this value to the equation, we get:
Kinetic Energy = (1/2) * mass * velocity^2
= (1/2) * 1770 kg * (36.94 m/s)^2
= (1/2) * 1770 kg * 1363.1236 m^2/s^2
≈ 1,502,955.05 joules
Therefore, the kinetic energy of the racing car with a speed of 133 km/h is approximately 1,502,955.05 joules.