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Chapter 15 Sections 1-2 Energy is the ability to do work. Energy is measured in Joules, just like work. The energy of motion is called kinetic energy. To calculate the kinetic energy of an object, multiply half the object’s mass (m) by its speed (v) squared. FORMULA: KE = ½ mv2 Potential energy is energy that is stored as a result of position or shape. The potential energy of an object that is stretched or compressed is known as elastic potential energy. Potential energy that depends on an object’s height is called gravitational potential energy. Gravitational potential energy is calculated by multiplying the object’s mass (m) by the acceleration due to gravity (g) and its height above the ground (h). FORMULA: GPE = mgh g = 9.8 m/s/s Find the kinetic energy of a 0.1kg toy truck moving at a speed of 1.1 m/s. KE = ½ mv2 KE = ½ (0.1kg)(1.1m/s)2 KE = 0.0605 Joules A book on a shelf 2m above the floor has a mass of 1.5kg. What is the gravitational potential energy of the book? GPE = mgh GPE = (1.5kg)(9.8m/s/s)(2m) GPE = 29.4 Joules Which runner has the greater kinetic energy: a 46kg runner moving at a speed of 8 m/s or a 92kg runner moving at a speed of 4 m/s? Runner 1 KE = ½ mv2 KE = ½ (46kg)(8m/s)2 KE= 1472 Joules Runner 2 KE = ½ mv2 KE = ½ (92kg)(4m/s)2 KE = 736 Joules If a 6kg box is moved from the floor to a storage compartment 2m above the floor, by how many joules does its potential energy change? GPE = mgh GPE = (6kg)(9.8m/s/s)(2m) GPE = 117.6 Joules The total energy of motion (KE) and position (PE) of any object is its mechanical energy (ME). FORMULA: ME = PE + KE Sound energy is a form of mechanical energy. It involves the compression and expansion of air particles, thus has both kinetic and elastic potential energy. The total potential and kinetic energy of all the microscopic particles in an object make up its thermal energy. This is also known as heat energy. Chemical energy is the energy stored in chemical bonds. Electrical energy is the energy associated with electrical charges. Electromagnetic energy is a form of energy that travels through space in the form of waves. This includes light energy, x-rays, microwaves, and other forms of electromagnetic waves. Nuclear energy is energy stored in the nuclei of atoms (fission, fusion). The process of changing energy from one form to another is energy conversion. Every energy conversion involves some conversion to thermal energy due to friction. When energy changes from one form to another, the total amount of energy stays the same. The gravitational potential energy of an object is converted to the kinetic energy of motion as an object falls.