Question

Which graph best shows the relationship between an object’s mass and its kinetic energy (assuming constant velocity)?(1 point)
Response

Answer 1

To show the relationship between an object's mass and its kinetic energy while assuming constant velocity, you can refer to the kinetic energy formula:

\[ KE = \frac{1}{2}mv^2 \]

Where:
- \( KE \) is the kinetic energy,
- \( m \) is the mass of the object,
- \( v \) is the velocity of the object (constant in this case).

If the velocity \( v \) is constant, the kinetic energy \( KE \) is directly proportional to the mass \( m \). This means that as mass increases, the kinetic energy also increases linearly.

Therefore, the best representation would be a linear graph where the x-axis represents mass and the y-axis represents kinetic energy. The graph should start at the origin (0,0) and have a straight line sloping upwards to the right, indicating that kinetic energy increases linearly with mass.

If you have specific graph options, the one that depicts a straight line originating from the origin (0,0) with a positive slope would best represent this relationship.