Answer:
In order to understand how it is possible for two objects with equal masses to have different kinetic energies, we need to delve into the concept of kinetic energy and the factors that affect it.
Kinetic energy is the energy possessed by an object due to its motion. It is dependent on two factors: mass and velocity. The formula for calculating kinetic energy is KE = 1/2 * m * v^2, where KE represents kinetic energy, m represents mass, and v represents velocity.
When considering two objects with equal masses, it might seem counterintuitive that they can have different kinetic energies. However, the key factor that allows this discrepancy is the difference in their velocities.
According to the formula for kinetic energy, velocity has a squared relationship with kinetic energy. This means that even a small change in velocity can result in a significant difference in kinetic energy. Therefore, if one of the objects has a greater velocity than the other, it will possess a higher kinetic energy.
To illustrate this concept further, let's consider an example. Suppose we have two cars with equal masses traveling on a straight road. Car A is moving at a speed of 50 miles per hour (mph), while Car B is moving at a speed of 70 mph. Since both cars have equal masses, their mass values cancel out when calculating kinetic energy. Using the formula KE = 1/2 * m * v^2, we can calculate the kinetic energies of both cars.
For Car A:
KE = 1/2 * m * v^2
= 1/2 * m * (50 mph)^2
= 1/2 * m * 2500 mph^2
For Car B:
KE = 1/2 * m * v^2
= 1/2 * m * (70 mph)^2
= 1/2 * m * 4900 mph^2
As we can see, Car B has a higher kinetic energy than Car A due to its greater velocity. This example demonstrates how two objects with equal masses can have different kinetic energies based on their velocities.
In summary, it is possible for two objects with equal masses to have different kinetic energies if their velocities differ. The formula for calculating kinetic energy shows that velocity has a squared relationship with kinetic energy, meaning even a small change in velocity can result in a significant difference in kinetic energy.
Step-by-step explanation: