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14 May, 16:06

Sean climbs a tower that is 71.3 m high to make a jump with a parachute. The mass of Sean plus the parachute is 81.4 kg. If U = 0 at ground level, what is the potential energy of Sean and the parachute at the top of the tower?

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  1. 14 May, 18:04
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    U = 56877.4 J

    Explanation:

    The potential energy of a body is that which it possesses because it is located at a certain height above the surface of the earth and can be calculated using the following formula:

    U = mgh Formula (1)

    Where:

    U is the potential energy in Joules (J)

    m is the mass of the body in kilograms (kg)

    g is the acceleration due to gravity (m/s²)

    h is the height at which the body is found from the surface of the earth in meters (m)

    Data

    m = 81.4 kg

    g = 9.8 m/s²

    h = 71.3 m

    Potential energy of Sean and the parachute at the top of the tower

    We replace data in the formula (1)

    U = m*g*h

    U = (81.4 kg) * (9.8 m/s²) * (71.3 m)

    U = 56877.4 N*m

    U = 56877.4 J
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