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?
9800 J
1000
2000 J
None of the above​

Answer 1

$\large{\underline{\underline{\sf{ \maltese \: {Given:-}}}}}$

• Weight = 100 N
• Height = 10 m

$\large{\underline{\underline{\sf{ \maltese \: {To \: find:-}}}}}$

Potential energy = ?

$\large{\underline{\underline{\sf{ \maltese \: {Solution:-}}}}}$

➊ We know that:–

$\qquad \bull \bf \: {Weight = Mass \times Acceleration }$

$\begin{gathered}\begin{gathered}\qquad \quad {:} \longrightarrow\sf \: {100 = mass \times 10 } \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\qquad \quad {:} \longrightarrow\sf \: { \dfrac{100}{10} = mass } \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\qquad \quad {:} \longrightarrow\sf \: { mass = \cancel\dfrac{100}{10} } \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\qquad \quad {:} \longrightarrow\sf \: \underline{ \boxed {\sf{mass = 10 \: kg }}} \\\end{gathered}\end{gathered}$

➋ We know that:–

$\qquad \bull \bf \: { Potential \: energy=mass \times acceleration \times height}$

$\begin{gathered}\begin{gathered}\qquad \quad {:} \longrightarrow\sf \: {potential \: energy = 10 \times 10 \times 10 } \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\qquad \quad {:} \longrightarrow \underline{ \boxed{\sf \: {potential \: energy = 1000 \: J}}} \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\large \quad \therefore\sf \: { The \: correct \: option \: is \: \underline{\underline{1000 \: J}}} \\\end{gathered}\end{gathered}$

$\large{\underline{\underline{\sf{ \maltese \: {Answer:-}}}}}$

The potential energy is 1000 J.

Answer 2

Answer:

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

$: \to \: f = m.a$

$: \to \: p.e = m \times g \times h$

Solution

❐According to second law of motion:

$\boxed{f = m.a}$

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.

$\boxed{ p.e = m \times g \times h}$

where

p.e= potential energy

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....