Using the image below, figure out the kinetic energy of each vehicle.
Truck: 6000 kg 92km/h
Car:1200 kg 100km/h
To calculate the kinetic energy of each vehicle, we can use the equation:
Kinetic energy = 1/2 * mass * velocity^2
For the truck:
Mass = 6000 kg
Velocity = 92 km/h = 25.56 m/s (we convert to meters per second since the standard units for mass and velocity in the kinetic energy equation are kilograms and meters per second, respectively)
Kinetic energy = 1/2 * 6000 kg * (25.56 m/s)^2
Kinetic energy = 4,668,876 Joules
Therefore, the kinetic energy of the truck is approximately 4.67 million Joules.
For the car:
Mass = 1200 kg
Velocity = 100 km/h = 27.78 m/s
Kinetic energy = 1/2 * 1200 kg * (27.78 m/s)^2
Kinetic energy = 1,875,840 Joules
Therefore, the kinetic energy of the car is approximately 1.88 million Joules.
Well, well, well! It seems we have some speedy vehicles on our hands! Let's calculate their kinetic energies, shall we?
For the truck weighing 6000 kg and zooming at 92 km/h, we need to follow a simple formula: Kinetic Energy = 1/2 * mass * velocity squared. So, let's crunch the numbers:
Kinetic Energy (truck) = 1/2 * 6000 kg * (92 km/h)^2
But hold on a second! We have a small issue here: our velocity is given in kilometers per hour, while we need it in meters per second to match the unit of mass (kilograms). So, let's convert 92 km/h to m/s.
92 km/h = 92,000 meters/3600 seconds (approx.) = 25.56 m/s (approx.)
Now, we can finally plug in the values:
Kinetic Energy (truck) = 1/2 * 6000 kg * (25.56 m/s)^2
Feel free to calculate that and we'll move on to the next vehicle!
To calculate the kinetic energy of each vehicle, we can use the formula:
Kinetic Energy = 1/2 * mass * velocity^2
Let's calculate the kinetic energy of each vehicle step-by-step:
For the truck:
Mass = 6000 kg
Velocity = 92 km/h
First, let's convert the velocity from km/h to m/s:
1 km/h = 0.277777778 m/s
Velocity = 92 km/h * 0.277777778 m/s = 25.555555556 m/s
Now we can calculate the kinetic energy of the truck:
Kinetic Energy = 1/2 * mass * velocity^2
Kinetic Energy = 1/2 * 6000 kg * (25.555555556 m/s)^2
Calculating the squared velocity:
Velocity^2 = (25.555555556 m/s)^2 = 653.06122449 m^2/s^2
Finally, calculating the kinetic energy:
Kinetic Energy = 1/2 * 6000 kg * 653.06122449 m^2/s^2 = 1,959,183.6734693878 Joules
Therefore, the kinetic energy of the truck is approximately 1,959,183.67 Joules.
Now, let's calculate the kinetic energy of the car:
Mass = 1200 kg
Velocity = 100 km/h
Converting the velocity from km/h to m/s:
Velocity = 100 km/h * 0.277777778 m/s = 27.777777778 m/s
Kinetic Energy = 1/2 * mass * velocity^2
Kinetic Energy = 1/2 * 1200 kg * (27.777777778 m/s)^2
Calculating the squared velocity:
Velocity^2 = (27.777777778 m/s)^2 = 771.60493827 m^2/s^2
Finally, calculating the kinetic energy:
Kinetic Energy = 1/2 * 1200 kg * 771.60493827 m^2/s^2 = 466,666.66666666666 Joules
Therefore, the kinetic energy of the car is approximately 466,666.67 Joules.
To calculate the kinetic energy of each vehicle, we need to use the formula:
Kinetic Energy = 0.5 * mass * velocity^2
First, let's convert the velocities from km/h to m/s since the formula requires the velocity to be in meters per second.
To convert km/h to m/s, we can use the following conversion factor:
1 km/h = 0.277778 m/s
Now let's calculate the kinetic energy for each vehicle:
Truck:
Mass = 6000 kg
Velocity = 92 km/h = 92 * 0.277778 m/s
To find the kinetic energy:
Kinetic Energy (Truck) = 0.5 * 6000 kg * (92 * 0.277778 m/s)^2
Car:
Mass = 1200 kg
Velocity = 100 km/h = 100 * 0.277778 m/s
To find the kinetic energy:
Kinetic Energy (Car) = 0.5 * 1200 kg * (100 * 0.277778 m/s)^2
Now, let's calculate the values:
Kinetic Energy (Truck) = 0.5 * 6000 kg * (92 * 0.277778 m/s)^2
Kinetic Energy (Car) = 0.5 * 1200 kg * (100 * 0.277778 m/s)^2
Using a calculator, calculate these expressions to find the respective kinetic energies.