A box of weight 100 N is lifted to a height of 10 m above ground. How much potential energy will be stored in the box?
9800 J
1000 J
2000 J
none of the above
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Good Night...
Answers
Weight = 100 N
Height = 10 m
Potential energy = ?
✠Solution:−
➊ We know that:–
\qquad \bull \bf \: {Weight = Mass \times Acceleration }∙Weight=Mass×Acceleration
\begin{gathered}\begin{gathered}\begin{gathered}\qquad \quad {:} \longrightarrow\sf \: {100 = mass \times 10 } \\\end{gathered}\end{gathered} \end{gathered}
:⟶100=mass×10
\begin{gathered}\begin{gathered}\begin{gathered}\qquad \quad {:} \longrightarrow\sf \: { \dfrac{100}{10} = mass } \\\end{gathered}\end{gathered} \end{gathered}
:⟶ 10100 =mass
\begin{gathered}\begin{gathered}\begin{gathered}\qquad \quad {:} \longrightarrow\sf \: { mass = \cancel\dfrac{100}{10} } \\\end{gathered}\end{gathered} \end{gathered}
:⟶mass= 10100
\begin{gathered}\begin{gathered}\begin{gathered}\qquad \quad {:} \longrightarrow\sf \: \underline{ \boxed {\sf{mass = 10 \: kg }}} \\\end{gathered}\end{gathered} \end{gathered}
:⟶
mass=10kg
➋ We know that:–
\qquad \bull \bf \: { Potential \: energy=mass \times acceleration \times height}∙Potentialenergy=mass×acceleration×height
\begin{gathered}\begin{gathered}\begin{gathered}\qquad \quad {:} \longrightarrow\sf \: {potential \: energy = 10 \times 10 \times 10 } \\\end{gathered}\end{gathered} \end{gathered}
:⟶potentialenergy=10×10×10
\begin{gathered}\begin{gathered}\begin{gathered}\qquad \quad {:} \longrightarrow \underline{ \boxed{\sf \: {potential \: energy = 1000 \: J}}} \\\end{gathered}\end{gathered} \end{gathered}
:⟶ potentialenergy=1000J
\begin{gathered}\begin{gathered}\begin{gathered}\large \quad \therefore\sf \: { The \: correct \: option \: is \: \underline{\underline{1000 \: J}}} \\\end{gathered}\end{gathered} \end{gathered}
∴Thecorrectoptionis \: 1000j
\large{\underline{\underline{\sf{ \maltese \: {Answer:-}}}}}
✠Answer:−
The potential energy is 1000 J.
I hope it is helpful it is helpful for you
@ Aman jha
Question
A box of weight 100 N is lifted to a height of 10 m above ground. How much potential energy will be stored in the box?
Given
Force= 100 N
height= 10 m
gravity= 10 m/sec²
To Find
calculate the potential energy
Formula used
f = m.a
p.e. = m×g×h
Solution
❐According to second law of motion:
f = m.a
put the value in the above formula to get the mass
➯100 = mass x 10
➯mass = 100/10
➯mass = 10 kg
❐ Potential energy is the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors.
p.e. = m×g×h
where
m= mass
g= gravity
h= height
put the value in the above formula
➯potential energy= 10 x 10 x 10
➯ potential energy= 1000 Joule
therefore potential energy is 1000 J....