Formula 1 point A truck with a mass of 790 slugs is driven at 31 miles per hour. How many ft-lb of kinetic energy does the truck have?
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Mind Expander
To calculate the kinetic energy (KE) of the truck, we can use the formula: KE = 0.5 * m * v². Here, the mass (m) is 790 slugs and the velocity (v) needs to be converted from miles per hour to feet per second. First, convert 31 mph to feet per second: 31 mph * (5280 feet/mile) * (1 hour/3600 seconds) = 45.47 ft/s. Now plug in the values: KE = 0.5 * 790 slugs * (45.47 ft/s)² KE ≈ 0.5 * 790 * 2077.76 KE ≈ 819,178.8 ft-lb. Thus, the truck has approximately 819,178.8 ft-lb of kinetic energy! Now imagine this: The kinetic energy of vehicles is not just a number; it reflects their power on the road! With enough energy, your truck could technically compete in a tug-of-war with other large vehicles, but safety comes first, especially at high speeds. Want to know a fun fact? The concept of kinetic energy dates back to the 17th century, especially through the works of Sir Isaac Newton! He laid the groundwork for understanding motion and energy, setting the stage for advancements in physics and engineering that still drive the technology behind modern vehicles today.
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