11. What height would a 10 kg object need to be raised to have a potential energy of 1,000 J? 12. A4 kg object is lowered from 10 m to 6 m. What is the change in its potential energy?

Question

11. What height would a 10 kg object need to be raised to have a potential energy of 1,000 J? 12. A4 kg object is lowered from 10 m to 6 m. What is the change in its potential energy?

Answer 1

11. The potential energy of an object can be calculated using the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h In this case, we are given the mass (m = 10 kg) and the potential energy (PE = 1,000 J), and we need to solve for the height (h). Rearranging the formula gives us h = PE / (m * g). Using the standard value of g = 9.8 m/s^2, we get h = 1,000 J / (10 kg * 9.8 m/s^2) = 10.2 m. Therefore, the object would need to be raised to a height of 10.2 meters to have a potential energy of 1,000 J.12. The change in potential energy of an object when it is moved from one height to another can be calculated using the formula ΔPE = m * g * Δh m is the mass of the object, g is the acceleration due to gravity, and Δh is the change in height. In this case, the mass (m = 4 kg), the initial height (h1 = 10 m), and the final height (h2 = 6 m) are given. The change in height (Δh) is h1 - h2 = 10 m - 6 m = 4 m. Plugging these values into the formula gives us ΔPE = 4 kg * 9.8 m/s^2 * 4 m = 156.8 J. Therefore, the change in potential energy of the object when it is lowered from 10 m to 6 m is 156.8 J.

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11. What height would a 10 kg object need to be raised to have a potential energy of 1,000 J? 12. A4 kg object is lowered from 10 m to 6 m. What is the change in its potential energy?

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