A crane raises a crate with a mass of 150 kg to a height of 20 m. Given that the acceleration due to gravity is 9.8 m/s2, what is the

Question

A crane raises a crate with a mass of 150 kg to a height of 20 m. Given that
the acceleration due to gravity is 9.8 m/s2, what is the crate’s potential energy
at this point?

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Thanh Thu 4 years 2021-07-25T12:30:47+00:00 1 Answers 84 views 0

Answers ( )

  1. King
    0
    2021-07-25T12:31:53+00:00
    Reply

    Answer:

    \boxed {\boxed {\sf 29,400 \ Joules}}

    Explanation:

    Gravitational potential energy is the energy an object possesses due to its position. It is the product of mass, height, and acceleration due to gravity.

    E_P= m \times g \times h

    The object has a mass of 150 kilograms and is raised to a height of 20 meters. Since this is on Earth, the acceleration due to gravity is 9.8 meters per square second.

    • m= 150 kg
    • g= 9.8 m/s²
    • h= 20 m

    Substitute the values into the formula.

    E_p= 150 \ kg \times 9.8 \ m/s^2 \times 20 \ m

    Multiply the three numbers and their units together.

    E_p=1470 \ kg*m/s^2 \times 20 m

    E_p=29400 \ kg*m^2/s^2

    Convert the units.

    1 kilogram meter square per second squared (1 kg *m²/s²) is equal to 1 Joule (J). Our answer of 29,400 kg*m²/s² is equal to 29,400 Joules.

    E_p= 29,400 \ J

    The crate has 29,400 Joules of potential energy.

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