Sometimes i wish i wasnt alive....
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The kinetic energy of the child at the bottom of the incline is 106.62 J.
The given parameters:
- <em>Mass of the child, m = 16 kg</em>
- <em>Length of the incline, L = 2 m</em>
- <em>Angle of inclination, θ = 20⁰</em>
The vertical height of fall of the child from the top of the incline is calculated as;
The gravitational potential energy of the child at the top of the incline is calculated as;
Thus, based on the principle of conservation of mechanical energy, the kinetic energy of the child at the bottom of the incline is 106.62 J since no energy is lost to friction.
Learn more about conservation of mechanical energy here: brainly.com/question/332163
This question involves the concepts of the law of conservation of energy, potential energy, and kinetic energy.
The data shown by the bar graph is "valid".
According to the law of conservation of energy, the total energy of the system must remain constant at any given point. Hence, the sum of the kinetic energy and the potential energy of the roller coaster must be constant at any given time.
Considering the bottom of the first hill:
Total Energy at 1st Hill = Kinetic Energy + Potential Energy
From the data given in the bar graph:
Total Energy at 1st Hill = 2,500,000 J + 0 J (since at the bottom potential energy is zero due to zero height)
Total Energy at 1st Hill = 2,500,000 J
Now, considering the top of the second hill:
Total Energy at 2nd Hill = Kinetic Energy + Potential Energy
From the data given in the bar graph:
Total Energy at 2nd Hill = 1,000,000 J + 1,500,000 J
Total Energy at 2nd Hill = 2,500,000 J
Hence,
Total Energy at 1st Hill = Total Energy at 2nd Hill
Therefore, the given bar graph is "valid".
Learn more about the law of conservation of energy here:
brainly.com/question/20971995?referrer=searchResults
The attached picture explains the law of conservation of energy.
