(o) \( \mathbf{G} \) ? ergy Practice Quiz - Math Formula 1 point A truck with a mass of 657 slugs is driven at 44 miles per hour. How many ft-lb of kinetic energy does the truck have?

To calculate the kinetic energy (KE) of the truck, use the formula \( KE = \frac{1}{2} mv^2 \), where \( m \) is mass in slugs and \( v \) is the speed in feet per second (ft/s). First, convert the truck's speed from miles per hour to feet per second: \( 44 \, \text{mph} = 44 \times \frac{5280}{3600} \approx 64.47 \, \text{ft/s} \). Now, plug in the values: \[ KE = \frac{1}{2} \times 657 \, \text{slugs} \times (64.47 \, \text{ft/s})^2 \] Calculating this gives you a kinetic energy of approximately 1,376,798.77 ft-lb! Kinetic energy has been a key concept since the early days of physics. Sir Isaac Newton, in the 17th century, laid down foundations for classical mechanics, from which our understanding of motion and energy stems. Understanding how energy is transferred during motion is crucial, and that’s exactly what kinetic energy represents! Real-world applications of kinetic energy are everywhere! From understanding the safety mechanisms in vehicles—like crumple zones and airbags—to designing roller coasters that maximize thrills while minimizing risks, engineers incorporate this concept to ensure safety and efficiency. Plus, it's fun to think about how kinetic energy is involved in sports, like the energy of a baseball flying through the air after a perfect swing!