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Sagot :
The energy converted into thermal energy is 2.31*10^7J
To solve this problem, we need to calculate the potential energy and kinetic energy and subtract the kinetic energy from the potential energy.
The data given are;
- mass = 3.5*10^5 kg
- velocity = 10m/s
- height of the ride = 7.6m
Potential Energy
This is the energy of a body at rest or at a particular height.
[tex]P.E = mgh[/tex]
Substitute the values into the equation and solve for P.E
[tex]P.E = 3.5*10^4*9.8*71.6\\P.E =2.48*10^7J[/tex]
Kinetic Energy
This is the energy of a body in motion i.e the energy of the ride while it's in motion.
[tex]K.E = \frac{1}{2}mv^2[/tex]
Substitute the values and solve for K.E
[tex]K.E = \frac{1}{2}*3.50*10^4*10^2\\K.E = 1.75*10^6J[/tex]
The thermal energy = P.E - K.E
[tex]2.48*10^7 - 1.75*10^6= 2.31*10^7J[/tex]
The amount of energy converted into thermal energy is 2.31 * 10^7J
Learn more about conversion of energy here
https://brainly.com/question/14570831
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