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 J
2000 J
none of the above​

Answer 1

Given:-

• Weight ,mg = 100 N

• Height ,h = 10 m

To Find:-

• Potential Energy ,PE

Solution:-

As we know that the energy produced in body due to its position is called Potential Energy.

SI unit of Potential Energy is Joule (J).

Potential Energy can

• PE = mgh

Where,

PE is the Potential Energy

mg is the Weight

h is the height

Substitute the value we get

→ PE = 100 × 10

→ PE = 1000 J

Therefore,the potential energy of the box is 1000 Joules.

Hence, Option (3) 1000 J is the Correct answer .

Answer 2

Given :

• Weight = 100 N
• Height = 10 m

To find :

• Potential energy = ?

Solution :

We know that:–

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

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

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

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

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

We know that:–

$\qquad \blacksquare \bf \: { Potential \: energy=mass \times acceleration \times height}∙</p><p>$

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

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

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

Answer :

• The potential energy is 1000 J