Energy Energy is the ability to do work - make things move. does not have mass or volume (matter) described by the things that it does - its interaction with matter can move by itself or through matter measured in joules (J) E=MC2 James Prescott Joule 1818-1889 Newton’s Second Law: F=ma; force = mass times acceleration A force (f) is any push or pull or any influence that can change the motion of an object such as gravity. Forces are measured in the metric system by a unit called a newton (N). Weight is the force due to gravity. 1 newton equals a force that will give a 1 kilogram mass an acceleration (a = m/s2) of 1 meter per of saying: kg×m/s2 second per second (kg)(m)/(s2).Instead We say: N named after Sir Isaac Newton What is the difference between mass and weight? Work (W) is defined as force that acts over a distance, or the movement of an object from one location or position to another. Work equals force times distance. The equation for work is: W = f × d Distance (d) in the metric system is measured in meters (m) and force is measured in newtons (N). Instead of using the unit n×m, work is measured using the metric unit joule (J). Ex. If a 500N box is lifted 2 meters, how much work has been done? 500N × 2m = 1000J Metric unit: J = newton× meter English unit: calories 1 BTU = 255 calories = 1055J Energy - 2 Each time work is done energy is transferred or given by one object to another that allows it to do work. So work is also understood to be the transfer of energy. When a certain amount of work is done, the same amount of energy is involved. Energy is therefore measured in joules just like work. All energy travels in waves - either through matter or by itself in the form of electromagnetic 2 radiation (pure energy). An energy wave that travels through matter is called a mechanical wave. The material a wave travels through is called a medium. 1 Mechanical waves form when a source of energy causes a medium to vibrate. A vibration is a repeated back-and-forth or up-and-down motion. Although the particles of matter move as the energy passes through it, the particles do not travel with the wave. There are three main types of mechanical waves that are classified by the direction of movement of the particles: transverse, longitudinal, and surface. Energy - 3 A transverse wave vibrates the medium particles at right angles to its movement through the material. S waves, also called secondary waves or shear waves, are a type of seismic wave and are an example of a transverse wave. A vibrating string is another example of a transverse wave. All points on the string itself are fixed to a point and move only up and down, but the wave pulses move at a right angle along the length of the string. The wave speed is the speed with which a pulse moves along the string. Electromagnetic or radiant energy (RE) also travels in transverse waves, only this form does NOT need a medium. It is a wave of pure energy defined by its wavelength and frequency (the amount of energy in a space). Energy - 4 The electromagnetic spectrum includes radio waves, TV waves, infrared (heat), visible light, ultra violet, X-rays, gamma rays. Radiant energy travels at about 186,000 miles per second in a vacuum (absence of matter - space). A longitudinal wave, sometimes called a compression wave or a push-pull wave, vibrates the medium particles in the same direction as the movement of the wave. As the energy moves through, some particles get close together called compression. At the same time some particles are spread out called rarefaction. The compressions and rarefactions travel along the whole way with the wave, but the individual particles do not move with the wave. Energy - 5 After the wave passes, the particles return to their original position. P waves or primary waves are a type of seismic wave and are an example of a longitudinal wave. Sound energy (SE) is the vibration of particles along a path. Energy is transmitted from particle to particle forming a chain or compression wave or longitudinal wave. What are the differences between light and sound? Surface waves are a combination of transverse and longitudinal waves. This type of wave travels along a surface that separates two mediums. Ocean waves are the most familiar. When a wave passes through water, the water moves up-and-down and also back-andforth. The individual particles actually make a circular motion as the wave passes by. Another type of surface wave is the Rayleigh wave. These are seismic waves that are the most easily felt during an earthquake. They cause the most damage. Energy – 6 Waves are measured by their wavelength, amplitude, frequency, and speed. Transverse waves have a high point called a crest and low point called a trough. Amplitude measures how big the wave is or the height of the wave from the crest to the trough. In sound, amplitude describes the loudness or amount of energy. Wavelength ( ) (the Greek letter lambda is the symbol for wavelength) is the distance between individual waves or the distance between two crests or troughs of the wave. It is measured in meters (m). Energy – 7 Frequency (f) is the number of waves that pass a point in a certain time period. Frequency is measured in Hertz (Hz). One Hz is one wave per second (f = 1/t). As the frequency of the wave is increased, its waves are closer together so the wavelength is smaller. As the frequency of the wave decreases, the waves are farther apart so the wavelength increases. The observation of a specific frequency is commonly referred to as the pitch of a sound. A high pitch sound matches to a high frequency sound wave and a low pitch sound matches to a low frequency sound wave. An average human ear is capable of detecting sound waves with a wide range of frequencies, ranging between approximately 20 Hz to 20,000 Hz. Any sound with a frequency lower than the normal hearing range (less than 20 Hz) is known as an infrasound, and any sound with a frequency higher than the normal hearing range (more than 20,000 Hz) is known as an ultrasound. Energy - 8 The speed (v) of a wave depends on the density of the material that it is passing through. It is measured in meters per second (m/s), or feet per second (ft/s), or miles per hour (mph),or miles per second (mi/s). The closer the particles, the faster the wave. The speed of sound: air at 68F = 1130 ft/s, 770 mph water = 5000 ft/s, 3409 mph steel = 20,000 ft/s, 13,636 mph The speed of light: space = 186,000 mi/s air = slightly less than 186,000 mi/s water = 140,000 mi/s glass = 122,000 mi/s Since frequency is measured by waves per second or 1/t and since velocity (speed in a certain direction) is measured by distance divided by time or wavelength divided by period (r=d/t), we can calculate the velocity of a wave as: If v = λf then wavelength times frequency v wave = λf λ = v/f f = v/λ and For example: If a wave has a wavelength of 11 meters and a frequency of 10 Hz, what is its speed? 11m×10Hz = 110 m/s Note the unit is meters per second. In a sound wave if 8 compressions pass a point in 2 seconds and the distance between the compressions is 12 meters. What is the speed of the wave? Frequency: 1/t ; 8/2 = 4Hz Speed: wavelength times frequency; 12m*4Hz = 36 m/s Energy - 9