Kinetic energy can be calculated using the formula: KE = ½ ∙m∙v2 (where m is mass and v is velocity), Using the formula, explain how a large mass affects KE and how a large velocity affects KE. (L3)

Answer 1

When calculating kinetic energy using the formula KE = ½ ∙m∙v^2, we can see that both mass (m) and velocity (v) affect the value of kinetic energy.

1. Large mass (m) affects kinetic energy (KE):
As per the formula, mass has a direct proportional relationship with kinetic energy. In simpler terms, the larger the mass, the more kinetic energy an object possesses. This is because kinetic energy depends on both how fast an object is moving (velocity) and how much matter it contains (mass). So, increasing the mass of an object will result in an increase in its kinetic energy, assuming the velocity remains the same. Conversely, decreasing the mass will result in a decrease in kinetic energy.

2. Large velocity (v) affects kinetic energy (KE):
The effect of velocity on kinetic energy is even more significant. The formula shows that the velocity of an object is squared, meaning velocity has a much larger impact on kinetic energy than mass. When an object's velocity increases, its kinetic energy increases exponentially. In other words, doubling the velocity of an object will result in a fourfold increase in its kinetic energy. Conversely, decreasing the velocity will result in a decrease in kinetic energy.

In summary, a larger mass will increase kinetic energy, while a larger velocity will have an even more substantial effect on increasing kinetic energy.

Answer 2

short form

Answer 3

In short, a large mass increases kinetic energy, while a large velocity has an even more significant impact on kinetic energy.