Question

What is the relationship between mass and kinetic energy? Make a claim and use your scientific reasoning skills to support your claim.

a) The relationship between mass and kinetic energy is linear, as mass increases, kinetic energy increases proportionally.
b) There is no relationship between mass and kinetic energy; they are independent of each other.
c) The relationship between mass and kinetic energy is inverse; as mass increases, kinetic energy decreases.
d) The relationship between mass and kinetic energy is quadratic; as mass increases, kinetic energy increases exponentially.

Answer 1

The relationship between mass and kinetic energy is described by the equation: KE = 1/2mv², where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object. Mass and kinetic energy are directly proportional to each other, meaning that as the mass of an object increases, its kinetic energy also increases proportionally.

Step-by-step explanation:

The relationship between mass and kinetic energy is described by the equation:

KE = 1/2mv²

where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object. From this equation, we can see that mass and kinetic energy are directly proportional to each other. This means that as the mass of an object increases, its kinetic energy also increases proportionally.

For example, if we compare two cars with different masses, but the same velocity, the car with a larger mass will have a greater kinetic energy. This is because the equation shows that as the mass increases, the kinetic energy increases as well.