Respuesta :
Question :-
- Find the Kinetic Energy of a body of Mass 2 kg moving with a Speed of [tex] \bf{10 \: {ms}^{ - 1} } [/tex] .
Answer :-
- Kinetic Energy is 100 Joule .
Explanation :-
As per the provided information in the given question, we have been given that the Mass of the body is 2 kg . Speed of the body is given [tex] \bf{10 \: {ms}^{ - 1} } [/tex] . And, we have been asked to calculate the Kinetic Energy .
For calculating the Kinetic Energy , we will use the Formula :-
[tex] \bigstar \: \: \boxed{ \sf{ \: Kinetic \: Energy \: = \: \dfrac{1}{2} \: \times \: {mv}^{2} \: }} \\ [/tex]
Where ,
- M denotes to the Mass
- V denotes to the Speed
Therefore , by Substituting the given values in the above Formula :-
[tex] \longmapsto \: \: \sf{ Kinetic \: Energy \: = \: \dfrac{1}{2} \: \times \: {m \: \times \: v}^{2} } \\ [/tex]
[tex] \longmapsto \: \: \sf{Kinetic \: Energy \: = \: \dfrac{1}{2} \: \times \: 2 \: \times \: {10}^{2} } \\ [/tex]
[tex] \longmapsto \: \: \sf{Kinetic \: Energy \: = \: \dfrac{1}{2} \: \times \: 2 \: \times \: 100 } \\ [/tex]
[tex] \longmapsto \: \: \sf{Kinetic \: Energy \: = \: \dfrac{1 \: \times \: 2 \: \times \: 100}{2}} \\ [/tex]
[tex] \longmapsto \: \: {\textbf {\textsf {Kinetic \: Energy \: = \: 100 \: Joule }}} [/tex]
[tex] \underline {\rule {180pt} {4pt}} [/tex]
The kinetic energy of the body with the given value of mass travelling at the given speed is 100 Joules.
What is Kinetic Energy?
Kinetic energy is simply a form of energy a particle or object possesses due to its motion.
It is expressed as;
K = (1/2)mv²
Where m is mass of the object and v is its velocity.
Given the data in the question;
- Mass of the body m = 2kg
- Velocity v = 10ms⁻¹
- Kinetic energy of the train K = ?
We substitute our given values into the above expression to determine the kinetic energy of the body.
K = (1/2)mv²
K = (1/2) × 2kg × (10ms⁻¹)²
K = 0.5 × 2kg × 100m²s⁻¹
K = 100kgm²s⁻¹
K = 100J
Therefore, the kinetic energy of the body with the given value of mass travelling at the given speed is 100 Joules.
Learn more about kinetic energy here: brainly.com/question/12669551
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