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A 3-kg object is lifted to a height of 2.5 m. How much potential energy is gained by the stone? NEED HELP​

Sagot :

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

Problem:

  • A 3-kg object is lifted to a height of 2.5 m. How much potential energy is gained by the stone?

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=3kg}}[/tex]

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

[tex]\quad\quad\quad » \orange{\rm{height=2.5m}}[/tex]

Solution:

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

[tex]\quad\quad\quad » \orange{\rm{PE=(3kg)(9.8m/{s}^{2})(2.5m)}}[/tex]

[tex]\quad\quad\quad » \orange{\rm{PE=(29.4kgm/{s}^{2})(2.5m)}}[/tex]

[tex]\quad\quad\quad » \orange{\rm{PE=73.5j}}[/tex]

Answer:

[tex]\quad\quad\quad » \boxed{ \color{gold}{\rm{73.5j}}}[/tex]

  • [tex]\color{gold}⟹[/tex] Hence, The answer is 73.5j.

[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]