Question

how is the kinetic energy of an object related to its mass?
kinetic energy must be less than an objects mass for movement to occur.
kinetic energy and mass must be equal for movement to occur.
kinetic energy decreases as mass increases.
kinetic energy increases as mass increases.

Explanation:

The formula for kinetic energy is \( KE=\frac{1}{2}mv^{2} \), where \( m \) is mass and \( v \) is velocity. When velocity \( v \) is constant, if mass \( m \) increases, kinetic energy \( KE \) increases (since \( KE \) is directly proportional to \( m \) in this case). Kinetic energy and mass have different units (energy in joules, mass in kilograms), so they can't be compared in terms of being "less than" or "equal" for movement (movement depends on forces, not a direct comparison of these two quantities with different units). Also, \( KE \) doesn't decrease as \( m \) increases when \( v \) is constant.

Answer:

Kinetic energy increases as mass increases.