Understanding Kinetic Energy Principles
Dive into the world of kinetic energy, work, and total mechanical energy. Learn how to calculate kinetic energy, solve sample problems, and understand the relationship between motion and energy in objects.
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Presentation Transcript
Work and Kinetic Energy Work has been defined as a force acting upon it to cause it to be displaced. In many cases, the objects doing the work possess potential energy stored in either the position and transformed into work. Kinetic energy is the energy of motion; whether that motion is vertical motion, horizontal motion or a combination of both is dependent upon mass (m) and speed (v) of the object.
Calculating Kinetic Energy The kinetic energy (KE) of an object can be calculated using this equation: ?? =1 ?? =1 2 ???? ????????2 2??2 Mass is measured in kilograms (kg) Velocity is measured in meters per second (m/s). KE is measured in joules (j).
Sample Problem Determine the kinetic energy of a 625-kg roller coaster car that is moving with a speed of 18.3 m/s. ?? =1 2??2 ? ?2 ?? = 0.5 625 18.3 ?? = 104,653?
Total Mechanical Energy (TME) Mechanical energy is the energy that is possessed by an object due to its motion, its position, or both. Total Mechanical Energy is the sum of all the kinetic energy (energy of motion) and potential energy (stored energy of position). ??? = ?? + ??
Sample Problem What is the mechanical energy of a 2 kg snow ball thrown through the air at 5 m/s and 3 m off the ground? ??? = ?? + ?? Step 1 Determine PE ?? = ?? = 2?? 9.8 3? = 58.8? Step 2 Determine KE ?? =1 2??2= 0.5 2?? 5 ? 22= 25? Step 3 Determine TME ??? = 58.8? + 25? = 83.8?
