Question

how does mass relate to motion energy? doodle this scenario. two rocks are rolling down a hill heading straight for you. one is much more massive than the other. if you had to choose, which rock would you let hit you? why? (think in terms of energy) kinetic energy motion energy write a sentence that describes the graph, which shows the relationship between speed and kinetic energy. how does speed relate to motion energy?

Explanation:

Kinetic energy formula is \( KE=\frac{1}{2}mv^{2} \). Mass (\( m \)) and speed (\( v \)) are factors. For mass - related question, more massive rock has more \( KE \) (if same speed). For speed - related question, graph shows \( KE \) increases with speed (quadratic relationship as \( KE\propto v^{2} \)).

Answer:

1. For “How does MASS relate to motion energy?”: The more massive an object, the greater its kinetic energy (motion energy) when moving at the same speed.
2. For “Write a sentence that describes the graph, which shows the relationship between speed and kinetic energy”: The kinetic energy of an object increases with the square of its speed.
3. For “How does SPEED relate to motion energy?”: The faster an object moves (higher speed), the greater its kinetic energy (motion energy).
4. For the doodle scenario: Let the less - massive rock hit you. Because, if they are moving at the same speed, the more massive rock has more kinetic energy ( \( KE=\frac{1}{2}mv^{2} \), larger \( m \) means larger \( KE \) when \( v \) is same), so it would cause more harm.