An object moves down an inclined plane. Friction and air resistance can be ignored. Which of the following statements is true?
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When an object moves down an inclined plane without the influence of friction or air resistance, it accelerates due to gravity. The acceleration can be calculated using the formula \( a = g \sin(\theta) \), where \( g \) is the acceleration due to gravity and \( \theta \) is the angle of the incline. This means the steeper the incline, the greater the acceleration, leading to a speedy descent! Additionally, as the object rolls down the incline, it converts potential energy into kinetic energy. The gravitational potential energy at the top of the incline is given by \( mgh \) (where \( m \) is the mass, \( g \) is gravity, and \( h \) is the height), which transforms into kinetic energy as it accelerates downwards. When it reaches the bottom, all this energy will be represented in motion, resulting in maximum kinetic energy!