The final speed of the toy car is about 0.687 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 toy car = m = 100 g
initial speed of toy car = u = 2.00 m/s
initial height position of toy car = h₁ = 0 m
final height position of toy car = h₂ = 0.180 m
Asked:
final speed of toy car = v = ?
Solution:
We will use Conservation of Energy to solve this problem:
[tex]Ep_1 + Ek_1 = Ep_2 + Ek_2[/tex]
[tex]mgh_1 + \frac{1}{2} m u^2 = mgh_2 + \frac{1}{2} m v^2[/tex]
[tex]0 + \frac{1}{2}mu^2 = mgh_2 + \frac{1}{2} m v^2[/tex]
[tex]\frac{1}{2}u^2 = gh_2 + \frac{1}{2}v^2[/tex]
[tex]u^2 = 2gh_2 + v^2[/tex]
[tex]v^2 = u^2 - 2gh_2[/tex]
[tex]v = \sqrt {u^2 - 2gh_2}[/tex]
[tex]v = \sqrt {2.00^2 - 2(9.8)(0.180)}[/tex]
[tex]v \approx 0.687 \texttt{ m/s}[/tex]
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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
