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1. In the absence of gravity. Calculate the potential energy of the ball dropped in a 15 floorhigh building which is 128m from the ground with the mass of 5kgs.2. A box has a mass of 58kg. The box is lifted from the garage floor and placed on a shelf.If the box gains 145J of Potential Energy , how high is the shelf?3. A 180g apple is lifted to a height of 1.5 m. How much potential energy does the applehave?

Question

  1. In the absence of gravity. Calculate the potential energy of the ball dropped in a 15 floorhigh building which is 128m from the ground with the mass of 5kgs.2. A box has a mass of 58kg. The box is lifted from the garage floor and placed on a shelf.If the box gains 145J of Potential Energy , how high is the shelf?3. A 180g apple is lifted to a height of 1.5 m. How much potential energy does the applehave?
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Solution

  1. In the absence of gravity, the potential energy of any object is zero regardless of its height from the ground. This is because potential energy (PE) is calculated using the formula PE = mgh, where m is mass, g is gravity (which is zero in this case), and h is height. So, if gravity is zero, then the potential energy is also zero.

  2. The potential energy (PE) of an object is given by the formula PE = mgh, where m is mass, g is gravity, and h is height. If we know the potential energy and the mass, we can rearrange the formula to solve for height: h = PE / (mg). Substituting the given values, we get h = 145J / (58kg * 9.8m/s^2) = 0.255 m or 25.5 cm. So, the shelf is approximately 25.5 cm high.

  3. The potential energy (PE) of an object is given by the formula PE = mgh, where m is mass, g is gravity, and h is height. Substituting the given values, we get PE = 0.18kg * 9.8m/s^2 * 1.5m = 2.646 J. So, the apple has 2.646 Joules of potential energy.

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