Respuesta :
605.3 kilojoules
First, convert the 105.0 km/h to m/s
105.0 km/h * 1000 m/km / 3600 s/h = 29.16666667 m/s
Now calculate the energy using the E = 0.5 M V^2 formula
E = 0.5 * 1423 kg * (29.16666667 m/s)^2
E = 711.5 kg * 850.69 m^2/s^2
E = 605269.0972 (kg m^2)/s^2
E = 605269.0972 J
E = 605.2690972 kJ
Rounding to 4 significant figures gives 605.3 kilojoules
The kinetic energy of this vehicle in kilojoules is about 6.053 × 10² kiloJoules
Further explanation
Let's recall Kinetic Energy formula as follows:
[tex]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 car = m = 1423 kg
speed of car = v = 105.0 km/h = 29¹/₆ m/s
Asked:
kinetic energy of car = Ek = ?
Solution:
We will use Kinetic Energy formula as follows:
[tex]Ek = \frac{1}{2}mv^2[/tex]
[tex]Ek = \frac{1}{2}(1423)(29\frac{1}{6})^2[/tex]
[tex]Ek \approx 6.053 \times 10^5 \texttt{ Joules}[/tex]
[tex]Ek \approx 6.053 \times 10^2 \texttt{ kiloJoules}[/tex]
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Conclusion:
The kinetic energy of this vehicle in kilojoules is about 6.053 × 10² kiloJoules
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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: Dynamics
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Keywords: Gravity , Unit , Magnitude , Attraction , Distance , Mass , Newton , Law , Gravitational , Constant
