Mathematics

Question

The diagram below represents a 155-newton box
on a ramp. Applied force F causes the box to
slide from point A to point B.
What is the total amount of gravitational potential
energy gained by the box?
A. 28.4)
B. 279)
C. 868J
D. 2740 J

1 Answer

  • Answer:

    279J is the total amount of gravitational potential  energy gained by the box.

    Step-by-step explanation:

    Note: As you missed to add the diagram. So, I found and have attached the diagram as shown in figure a which is attached below, based on which I am answering your question. Hopefully, it would help understand the concept.

    The energy stored in an object near the surface of the Earth due of its state in a gravitational field is termed as Gravitational potential energy.

    The formula to get gravitational potential energy: [tex]Ep_}=mgh[/tex]

    Here,

    m = mass of the object normally measured in kg

    g =  gravitational acceleration having constant value as 9.8 m/s²

    h = height in m

    As from the diagram a, we observe that object carries 155-newton force and at point B, the height is 1.80 m, as shown in figure a.

    So,

          F = 155 N

          h = 1.80 m

    From F = mg, we can get the mass of  object

           F = mg        ∵ g =  gravitational acceleration

          m = F/g

          m = 155/9.8 ⇒ m = 15.81

    The gravitational potential energy is measured in joule which is abbreviated as 'J'.

    The formula to get gravitational potential energy:

    [tex]Ep_}=mgh[/tex]

    [tex]Ep_}=(15.81)(9.8)(1.80)[/tex]

    [tex]Ep_}=278.88J[/tex]  ≈ [tex]279J[/tex]

    Therefore, 279J is the total amount of gravitational potential  energy gained by the box.

    Keywords: potential energy, force

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