figure out the kinetic energy of each vehicle.
truck: 6000kg 92 km/h
car: 1200kg 100km/h
The formula to calculate kinetic energy is:
KE = (1/2) * m * v^2
where KE = kinetic energy, m = mass, and v = velocity
For the truck:
Mass (m) = 6000 kg
Velocity (v) = 92 km/h = 25.5556 m/s (convert km/h to m/s by dividing by 3.6)
KE = (1/2) * 6000 kg * (25.5556 m/s)^2 = 4,125,000 J or 4.125 MJ
Therefore, the kinetic energy of the truck is 4.125 MJ (megajoules).
For the car:
Mass (m) = 1200 kg
Velocity (v) = 100 km/h = 27.7778 m/s
KE = (1/2) * 1200 kg * (27.7778 m/s)^2 = 1,858,333 J or 1.858 MJ
Therefore, the kinetic energy of the car is 1.858 MJ.
To calculate the kinetic energy of each vehicle, we can use the formula:
Kinetic Energy = (1/2) * mass * velocity^2
First, let's convert the speeds from km/h to m/s:
Speed of the truck = 92 km/h
= 92 * (1000/3600) m/s
= 25.56 m/s
Speed of the car = 100 km/h
= 100 * (1000/3600) m/s
= 27.78 m/s
Now, let's calculate the kinetic energy for each vehicle:
For the truck:
Mass of the truck = 6000 kg
Velocity of the truck = 25.56 m/s
Kinetic Energy of the truck = (1/2) * 6000 kg * (25.56 m/s)^2
= 1/2 * 6000 * 654.8736
= 1964.62 KJ
For the car:
Mass of the car = 1200 kg
Velocity of the car = 27.78 m/s
Kinetic Energy of the car = (1/2) * 1200 kg * (27.78 m/s)^2
= 1/2 * 1200 * 771.2484
= 462.75 KJ
Therefore, the kinetic energy of the truck is approximately 1964.62 KJ, and the kinetic energy of the car is approximately 462.75 KJ.