if a car travels at 50 km/h, it has kinetic energy. How much more kinetic energy does it have at 100 km/h?
Answer=100 squared as much (10000)
To calculate the kinetic energy of a moving object, you can use the equation:
Kinetic energy (KE) = 1/2 * mass * velocity^2
In this case, you are comparing the kinetic energy of a car traveling at 50 km/h and at 100 km/h. The key factor to look at here is the velocity, as the mass of the car remains constant.
Let's calculate the kinetic energy of the car at each speed:
1. At 50 km/h:
KE1 = 1/2 * mass * (50 km/h)^2
2. At 100 km/h:
KE2 = 1/2 * mass * (100 km/h)^2
To determine how much more kinetic energy the car has at 100 km/h compared to 50 km/h, we can compare the two energies:
KE2 / KE1 = (1/2 * mass * (100 km/h)^2) / (1/2 * mass * (50 km/h)^2)
Simplifying the equation:
KE2 / KE1 = (100 km/h)^2 / (50 km/h)^2
Now, we can calculate the values:
KE2 / KE1 = (10000 km^2/h^2) / (2500 km^2/h^2)
The unit square (km^2) cancels out, leaving us with:
KE2 / KE1 = 10000 / 2500
Dividing:
KE2 / KE1 = 4
Therefore, the car has four times more kinetic energy at a speed of 100 km/h compared to 50 km/h.