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Your Answers: A wrench with a mass of 3 slugs is about to be accidently knocked off an unsafe scaffold platform 8 ft high. How many ft -lb of potential energy does the wrench have?

Ask by Montgomery Moran. in Canada
Feb 22,2025

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The wrench has about 770 ft-lb of potential energy.

Solución

To find the gravitational potential energy (PE) of the wrench, we use the formula:   PE = weight × height Since the mass is given in slugs, we first convert to weight. Weight (in pounds) is calculated as:   weight = mass × acceleration due to gravity In the Imperial system, the acceleration due to gravity is approximately 32.2 ft/s². Thus:   weight = 3 slugs × 32.2 ft/s² ≈ 96.6 lbs Now, using the height of 8 ft:   PE = 96.6 lbs × 8 ft ≈ 772.8 ft-lb Therefore, the wrench has approximately 772.8 ft-lb of gravitational potential energy, which can be rounded to about 770 ft-lb if needed.

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The Deep Dive

To calculate the potential energy (PE) of the wrench, you can use the formula PE = mgh, where m is mass in slugs, g is the acceleration due to gravity (approximately 32.2 ft/s²), and h is the height in feet. So, PE = 3 slugs * 32.2 ft/s² * 8 ft = 772.8 ft-lb. The wrench has about 772.8 ft-lb of potential energy right before it takes an unfortunate plunge! Now, isn’t it fascinating how potential energy works? Every object at a height has energy just waiting to be released! This is why it’s important to secure tools and objects on scaffolding, as the energy transforms into kinetic energy the moment they begin to fall, potentially causing accidents or injuries. Stay safe up there!

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