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Identify the formula for gravitational potential energy.

Physics

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Answer

100 J\text{100 J}

Step-by-step solution

4 steps
  1. Identify the formula for gravitational potential energy.

    The gravitational potential energy (PEPE) is calculated using the formula:

    PE=mghPE = mgh

    where mm is the mass, gg is the acceleration due to gravity, and hh is the height above the reference level.

  2. Identify the given values and state the assumption for height.

    • Mass, m=10 kgm = 10 \text{ kg}
    • Acceleration due to gravity, g=10 m/s2g = 10 \text{ m/s}^2
    • The height (hh) at which the mass is placed above ground level is not explicitly given in the problem. For the purpose of providing a numerical answer, we will assume a height of h=1 mh = 1 \text{ m} above ground level.
  3. Substitute the values into the formula.

    PE=(10 kg)×(10 m/s2)×(1 m)PE = (10 \text{ kg}) \times (10 \text{ m/s}^2) \times (1 \text{ m})
  4. Calculate the gravitational energy.

    PE=100 JPE = 100 \text{ J}

    The gravitational energy of the mass, assuming a height of 1 m1 \text{ m}, is:

    100 J\text{100 J}
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