This problem is providing the gravitational potential energy at two points, A and C, 480 J and 290 J respectively, so that the kinetic energy at point C is required. According to the law of conservation of mass; which turns out to be 190 J considering to the following:
When objects are in both vertical and horizontal motion or rest, they are able to carry specific amounts of energy, which are potential and kinetic, respectively; the former depending on the mass and gravity and the latter on the mass and velocity.
Thus, when a roller coaster is quiet at a specific point with no vertical movement, we say it has its maximum energy, and as it starts moving, the addition of the kinetic and potential energies must equal to the maximum one because it is not supposed to be lost, but conserved.
In such a way, when the roller coaster moves to a lower position, it decreases it potential energy and increases the kinetic one, according to:
[tex]E_{max}=U+K[/tex]
Whereas U stands for the potential energy and K for the kinetic one. Hence, since the maximum energy is 480 J and the potential energy at point C is 290 J, the kinetic energy must be:
[tex]E_{max}=U+K\\\\K=480J-290J\\\\K=190 J[/tex]
Learn more about the law of conservation of energy: https://brainly.com/question/21288807
