what type of energy does a ball on top of a hill or a child on top of a slide have?
Gravitation potential energy
there are many kind of energy that we can analyze in the example (thermal energy, chemical energy, etc). I will assume that you want to know if this is an example of KINETIC or POTENTIAL ENERGY. Potential energy will refer to the position of the object and kinetic energy is related to the movement of the object. You have to analyze these factors. Its the object (ball, child) moving?, they are standing there at a high place with possibility to come down?
Type of energy: Kinetic, Potential, Mechanical, Mechanical wave, Chemical, Electric, Magnetic, Radiant, Nuclear, Ionization, Elastic, Gravitational, Intrinsic (the rest energy), Thermal, Heat, Mechanical work
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