Question

If mass of an object is 100 KG velocity is equal to 20 m/s calculate the kinetic energy



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Answer 1

Given :

• Mass = 100 kg
• Velocity = 20 m/s

To Find :

• Kinetic Energy

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SolutioN :

$\dag$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ K.E = \dfrac{1}{2} m{v}^{2} }}}}}$

Where :

• K.E = Kinetic Energy
• m = Mass
• v = Velocity

$\dag$ Calculating the Kinetic Energy :

$\begin{gathered} \qquad \; \dashrightarrow \; \; \sf { K.E = \dfrac{1}{2} m{v}^{2} } \\ \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \dashrightarrow \; \; \sf { K.E = \dfrac{1}{2} \times 100 \times {20}^{2} } \\ \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \dashrightarrow \; \; \sf { K.E = \dfrac{1}{2} \times 100 \times 400 } \\ \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \dashrightarrow \; \; \sf { K.E = \dfrac{100}{2} \times 400 } \\ \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \dashrightarrow \; \; \sf { K.E = \cancel\dfrac{100}{2} \times 400 } \\ \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \dashrightarrow \; \; \sf { K.E = 50 \times 400 } \\ \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \dashrightarrow \; \; {\underline{\boxed{\pmb{\sf { Kinetic \; Energy = 20000 \; J }}}}} \; {\red{\pmb{\bigstar}}} \\ \\ \\ \\ \end{gathered}$

$\therefore \;$ The Kinetic Energy is 20000 Joules .

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Answer 2

Question :-

• If mass of an object is 100 kg . If the velocity is equal to 20 m/s , then calculate the Kinetic Energy .

Answer :-

• Kinetic Energy is 20000 Joules .

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Given :-

• Mass = 100 kg
• Velocity = 20 m/s

To Find :-

• Kinetic Energy = ?

Solution :-

As per the provided information in the given question, it is given that the Mass of object is 100 kg . Velocity of that object is 20 m/s . And, we have been ask, to calculate the Kinetic Energy .

For calculating the Kinetic Energy , the formula required :-

• $\bf{K.E \: = \: \frac{1}{2} \: {mv}^{2} }$

Where ,

• K.E denotes to Kinetic Energy
• M denotes to Mass
• V denotes to Velocity

By substituting the values :-

$\dag \: \: \bf{K.E \: = \: \frac{1}{2} \: \times \: m \: \times \:{v}^{2} }$

$\Longrightarrow \: \: \sf{ K.E \: = \: \frac{1}{2} \: \times \: 100 \: \times \: 20 }^{2}$

$\Longrightarrow \: \: \sf{K.E \: = \: \frac{1}{2} \: \times \: 100 \: \times \: 400}$

$\Longrightarrow \: \: \sf{K.E \: = \: \frac{1}{\cancel2 \: _{1}} \: \times \: \cancel{100} \: _{50} \: \times \: 400}$

$\Longrightarrow \: \: \sf{K.E \: = \: \frac{1}{1} \: \times \: 50 \: \times \: 400}$

$\Longrightarrow \: \: \sf{K.E \: = \: 50 \: \times \: 400}$

$\Longrightarrow \: \: {\textbf{ \textsf{K.E \: = \: 20000 \: Joules}}}$

Hence :-

• Kinetic Energy = 20000 Joules .

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