A solar-powered car has a kinetic energy of 110250J. Its mass is 180kg. Work out how fast the car is travelling.

Kinetic energy of an object is defined as the energy possess by an object due to its motion. Kinetic energy K.E of an object is equal to the half of the mass of that object multiplied by square of the object's velocity.

Mathematically,

[tex]K.E = \frac{1}{2}mv^{2}[/tex]

[tex]v^{2}=\frac{2K.E}{m}[/tex]

[tex]v =\sqrt{\frac{2K.E}{m} }[/tex]

[tex]v = \sqrt{\frac{(2)(110250)}{180} }[/tex]

v = 35 m/s

johanrusli johanrusli · Answer 2 · 2020-01-20T08:14:16+01:00

The car is travelling as fast as 35 m/s

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Further explanation

Let's recall Kinetic Energy Formula as follows:

[tex]\large {\boxed{Ek = \frac{1}{2}mv^2} }[/tex]

Ek = Kinetic Energy ( Joule )

m = mass of the object ( kg )

v = speed of the object ( m/s )

Let us now tackle the problem !

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Given:

mass of the car = m = 180 kg

kinetic energy of the car = Ek = 110 250 J

Asked:

speed of the car = v = ?

Solution:

We will use Kinetic Energy formula to solve this problem:

[tex]E_k = \frac{1}{2} m v^2[/tex]

[tex]2 E_k = m v^2[/tex]

[tex]v^2 = 2 E_k \div m[/tex]

[tex]v = \sqrt {2 E_k \div m}[/tex]

[tex]v = \sqrt { 2 ( 110250) \div 180 }[/tex]

[tex]v = \sqrt { 1225 }[/tex]

[tex]v = 35 \texttt{ m/s}[/tex]

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Conclusion :

The car is travelling as fast as 35 m/s

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Learn more

Impacts of Gravity : https://brainly.com/question/5330244
Effect of Earth’s Gravity on Objects : https://brainly.com/question/8844454
The Acceleration Due To Gravity : https://brainly.com/question/4189441
Newton's Law of Motion: https://brainly.com/question/10431582
Example of Newton's Law: https://brainly.com/question/498822

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Answer details

Grade: High School

Subject: Physics

Chapter: Energy