A cart is loaded with a brick and pulled at constant speed along an inclined plane to the height of a seat-top. if the mass of the loaded cart is 4 kg and the height of the seat to is 0.75 m, when what is the potential energy of the loaded cart at the height of the seat-top NEED HELP​

Sagot :

[tex]\color{gold}\underline {\bold{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]

Problem:

  • A cart is loaded with a brick and pulled at constant speed along an inclined plane to the height of a seat-top. if the mass of the loaded cart is 4 kg and the height of the seat to is 0.75 m, when what is the potential energy of the loaded cart at the height of the seat-top?

Formula for Potential Energy:

[tex]\quad\quad\quad » \boxed{ \green{\rm{PE=mgh}}}[/tex]

Given:

[tex]\quad\quad\quad » \orange{\rm{PE=Potential\:Energy}}[/tex]

[tex]\quad\quad\quad » \orange{\rm{mass=4kg}}[/tex]

[tex]\quad\quad\quad » \orange{\rm{gravity=9.8m/{s}^{2}}}[/tex]

[tex]\quad\quad\quad » \orange{\rm{height=0.75m}}[/tex]

Solution:

[tex]\quad\quad\quad » \green{\rm{PE=mgh}}[/tex]

[tex]\quad\quad\quad » \orange{\rm{PE=(4kg)(9.8m/{s}^{2})(0.75m)}}[/tex]

[tex]\quad\quad\quad » \orange{\rm{PE=(39.2kgm/{s}^{2})(0.75m)}}[/tex]

[tex]\quad\quad\quad » \orange{\rm{PE=29.4j}}[/tex]

Answer:

[tex]\quad\quad\quad » \boxed{ \color{gold}{\rm{29.4j}}}[/tex]

  • [tex]\color{gold}⟹[/tex] Hence, The answer is 29.4j.

[tex]\color{gold}\underline {\bold{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]

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[tex]\small\bold\color{black}\rm{\colorbox{yellow}{✍︎\:ChristineR.E.}}[/tex]

[tex]\bold{ \: \: \: \:\:\:\:\: \:\:\:\:\:\:\:\: \: \: \: \: \: \: \:\:\:\:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ישו אוהב אותך } [/tex]