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ergy Practice Quiz - Math Energy Practice Quiz - Math Neturn Next Formula 1 point A rock with a mass of 900 kg is sitting on the edge of a cliff 6 m high. How many Joules of potential energy does the rock have?

Ask by Cox Patel. in Canada
Feb 22,2025

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The rock has 52,920 Joules of potential energy.

Solución

To find the potential energy of the rock, we can use the formula for potential energy: \[ PE = mgh \] where: - \( PE \) is the potential energy, - \( m \) is the mass of the rock, - \( g \) is the acceleration due to gravity (approximately 9.8 m/s^2), - \( h \) is the height of the rock above the ground. Given: - Mass of the rock, \( m = 900 \, \text{kg} \), - Height of the rock, \( h = 6 \, \text{m} \). Substitute the values into the formula to calculate the potential energy of the rock. Calculate the value by following steps: - step0: Calculate: \(900\times 9.8\times 6\) - step1: Multiply the terms: \(8820\times 6\) - step2: Multiply the numbers: \(52920\) The rock has 52,920 Joules of potential energy.

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Beyond the Answer

To calculate the potential energy (PE) of the rock, you can use the formula PE = m * g * h, where m is mass in kilograms, g is the acceleration due to gravity (approximately 9.81 m/s²), and h is the height in meters. For a 900 kg rock at a height of 6 m, PE = 900 kg * 9.81 m/s² * 6 m, which equals 52,878 Joules. Yep, that rock has got some serious energy potential just waiting to take a tumble! In the world of physics, potential energy plays a big role in various scenarios. Whether it's a rollercoaster poised at the top of a hill or a cat lounging on a high shelf, potential energy is all around us! Understanding these concepts helps engineers design safe structures and thrilling rides while keeping safety firmly in mind. Who knew that numbers could bring so much excitement to our everyday lives?

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