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Nadya [2.5K]
3 years ago
15

A 3.00-kg model airplane has velocity components of 5.00 m/s due east and 8.00 m/s due north. What is the plane’s kinetic energy

?

Physics
2 answers:
GalinKa [24]3 years ago
5 0

Answer:

Kinetic energy, E = 133.38 Joules

Explanation:

It is given that,

Mass of the model airplane, m = 3 kg

Velocity component, v₁ = 5 m/s (due east)

Velocity component, v₂ = 8 m/s (due north)

Let v is the resultant of velocity. It is given by :

v=\sqrt{v_1^2+v_2^2}

v=\sqrt{5^2+8^2}=9.43\ m/s

Let E is the kinetic energy of the plane. It is given by :

E=\dfrac{1}{2}mv^2

E=\dfrac{1}{2}\times 3\ kg\times (9.43\ m/s)^2

E = 133.38 Joules

So, the kinetic energy of the plane is 133.38 Joules. Hence, this is the required solution.

serg [7]3 years ago
5 0

The plane’s kinetic energy is about 134 J

\texttt{ }

<h3>Further explanation</h3>

Let's recall the Kinetic Energy formula:

\boxed {E_k = \frac{1}{2}mv^2 }

<em>Ek = kinetic energy ( J )</em>

<em>m = mass of object ( kg )</em>

<em>v = speed of object ( m/s )</em>

Let us now tackle the problem!

\texttt{ }

<u>Given:</u>

mass of model airplane = m = 3.00 kg

velocity component in the east direction = v_x = 5.00 m/s

velocity component in the north direction = v_y = 8.00 m/s

<u>Asked:</u>

kinetic energy of the plane = Ek = ?

<u>Solution:</u>

<em>Firstly , we will find the resultant velocity as follows:</em>

v^2 = (v_x)^2 + (v_y)^2

\texttt{ }

<em>Next, we could calculate the plane's kinetic energy by using following formula:</em>

E_k = \frac{1}{2} m v^2

E_k = \frac{1}{2} m (v_x^2 + v_y^2)

E_k = \frac{1}{2} m v_x^2 + \frac{1}{2} m v_y^2

E_k = (\frac{1}{2} \times 3.00 \times 5.00^2) + (\frac{1}{2} \times 3.00 \times 8.00^2)

E_k = 133.5 \texttt{ J}

E_k \approx 134 \texttt{ J}

\texttt{ }

<h3>Learn more</h3>
  • Velocity of Runner : brainly.com/question/3813437
  • Kinetic Energy : brainly.com/question/692781
  • Acceleration : brainly.com/question/2283922
  • The Speed of Car : brainly.com/question/568302

\texttt{ }

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Energy

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