A racing car has a mass of 1540 kg. What is its kinetic energy if it has a speed of 110 km/h? Assume that air resistance is negligible.
Actually, forgot to square the velocity:
KE = (1/2)(1540kg)(30.6)^2 =
720997.2 Joules
Kinetic Energy (KE)=(1/2)mv^2
First convert km/hr to m/s
(110km/hr)*(1000m/1km)*(1hr/3600s) =
30.6 m/s
Plug everything into the formula
KE = (1/2)(1540kg)(30.6m/s) =
23527.78 Joules
To find the kinetic energy of the racing car, we can use the formula:
Kinetic energy = (1/2) * mass * velocity^2
First, we need to convert the speed from kilometers per hour (km/h) to meters per second (m/s). We know that:
1 kilometer = 1000 meters
1 hour = 3600 seconds
So, to convert 110 km/h to m/s, we divide it by 3.6:
110 km/h ÷ 3.6 = 30.56 m/s (rounded to 2 decimal places)
Now, we can substitute the values into the kinetic energy formula:
Kinetic energy = (1/2) * mass * velocity^2
= (1/2) * 1540 kg * (30.56 m/s)^2
Calculating the value:
Kinetic energy = (1/2) * 1540 kg * (30.56 m/s)^2
= 0.5 * 1540 * 936.4736
= 711,474.88 joules
Therefore, the kinetic energy of the racing car is approximately 711,474.88 joules.
To find the kinetic energy of the racing car, you can use the formula:
Kinetic Energy = (1/2) * mass * velocity^2
First, you need to convert the speed from km/h to m/s, since the formula requires the velocity to be in meters per second.
1 kilometer = 1000 meters
1 hour = 3600 seconds
So, to convert from km/h to m/s, you divide the speed by 3.6:
110 km/h ÷ 3.6 = 30.56 m/s (rounded to two decimal places)
Now that you have the velocity in meters per second, you can substitute it into the formula along with the mass of the car:
Kinetic Energy = (1/2) * 1540 kg * (30.56 m/s)^2
Kinetic Energy = (1/2) * 1540 kg * 935.93 m^2/s^2
Kinetic Energy ≈ 713,743 Joules
Therefore, the kinetic energy of the racing car is approximately 713,743 Joules.