Which has more kinetic energy? A huge skyscraper that is standing still. A tiny grain of sand, blowing in the wind.

To determine which object has more kinetic energy, let's examine the concept of kinetic energy and apply it to both scenarios. **Kinetic Energy Formula:** \[ K = \frac{1}{2} m v^2 \] where: - \( K \) is kinetic energy, - \( m \) is mass, - \( v \) is velocity. ### 1. **Huge Skyscraper Standing Still** - **Mass (\( m \))**: Extremely large due to the size and materials of the skyscraper. - **Velocity (\( v \))**: **0 m/s** (since it's standing still). \[ K_{\text{skyscraper}} = \frac{1}{2} m (0)^2 = 0 \, \text{Joules} \] ### 2. **Tiny Grain of Sand Blowing in the Wind** - **Mass (\( m \))**: Very small. - **Velocity (\( v \))**: Greater than 0 m/s (as it's being moved by the wind). \[ K_{\text{grain of sand}} = \frac{1}{2} m v^2 \] Since \( m \) is very small but \( v \) is greater than zero, the kinetic energy is **greater than zero**. ### **Conclusion** - **Skyscraper**: **0 Joules** of kinetic energy (since it’s not moving). - **Grain of Sand**: **>0 Joules** of kinetic energy (since it’s in motion). **Therefore, the tiny grain of sand blowing in the wind has more kinetic energy than the stationary skyscraper.** **Answer:** The moving grain of sand possesses kinetic energy while the stationary skyscraper does not. Therefore, the tiny grain of sand blowing in the wind has more kinetic energy.