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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