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21 November, 05:36

a mass of 0.400 is raised by a vertical distance of 0.450m in the earths growth gravitational field. what is the change in its gravitatioanal potential energy? show your work

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  1. 21 November, 08:47
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    Complete question: A mass of 0.400 kg is raised by a vertical distance of 0.450 m in the earth's gravitational field. What is the change in its gravitational potential energy?

    Answer:

    1.764 J

    Explanation:

    Gravitational Potential Energy: This ca be defined as the energy possessed by a body due to its position in the gravitational field. The S. I unit is J.

    The expression for change in Gravitational potential energy is

    ΔEp = mgΔh ... Equation 1

    Assuming the ground level = 0 m

    Where ΔEp = change in Gravitational potential energy, m = mass, g = acceleration due to gravity, h = change in height.

    Given: m = 0.40 kg, Δh = 0.450 m, g = 9.8 m/s²

    Substitute into equation 1

    ΔEp = 0.4 (0.45) (9.8)

    ΔEp = 1.764 J

    Hence the change in gravitational potential energy = 1.764 J
  2. 21 November, 08:58
    0
    w = 1.766 Joule

    Explanation:

    Work = Force * Distance

    In this case the Work done is stored in body as Gravitational potential energy, so, W = P. E. = mgh

    Here m = 0.400 kg (unit not given in the question if in other unit may be converted to Kg), g = 9.81 m/s² and h = 0.450 m

    w = 0.400 kg * 9.81 m/s² * 0.450 m

    w = 1.7658 kg m²/s² = 1.766 Joule or (Nm)
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