Kinetic Energy (B) Definitions of Energy Kinetic Energy Kinetic energy is the energy of motion. The following two experiments were designed to explore whether speed or mass plays a bigger role in determining the amount of kinetic energy. Experiment 1 was designed to test how speed affects kinetic energy. The kinetic energy is calculated using a mass of 1,200 kg (mass of an average car) traveling at various speeds. The equation for calculating the kinetic energy of an object is KE = 1 2 mv . 2 KE = the kinetic energy of the object. It is measured in the energy unit of joules (J). m = the mass of the object in kilograms (kg). v = the speed of the object, measured in meters per second (m/s), which must be squared. Note: 1 Joule = 1 kg x (m/s)2. Complete the table for Experiment 1 and find the kinetic energy of the car at different speeds. In this experiment, mass is constant, which means that mass does not change. Experiment 1: Kinetic Energy of a 1,200kg Car at Different Speeds Mass of Car Speed of Car Kinetic Energy 1,200 kg 2.78 m/s 1. 1,200 kg 5.55 m/s 2. 1,200 kg 8.33 m/s 3. 1,200 kg 11.11 m/s 4. 1,200 kg 13.89 m/s 5. 1,200 kg 16.67 m/s 6. 1,200 kg 19.44 m/s 7. 1 Kinetic Energy (B) Definitions of Energy Experiment 2 was designed to test how mass affects the kinetic energy of the car. The kinetic energy was calculated using different masses of cars traveling at the same speed. The equation for finding the kinetic energy of an object is KE = 1 mv 2 . 2 KE = the kinetic energy of the object. It is measured in the energy unit of joules (J). m = the mass of the object in kilograms (kg). v = the velocity of the object in meters per second (m/s). This value must be squared. Note: 1 Joule = 1 kg x (m/s)2 Complete the table for Experiment 2 and find the kinetic energy of different masses of cars traveling at the same speed. In this experiment, speed is constant, which means that speed does not change. Experiment 2: Kinetic Energy of Cars of Different Masses Traveling 2.78 m/s Mass of Car Speed of Car Kinetic Energy 900 kg 2.78 m/s 8. 1,000 kg 2.78 m/s 9. 1,100 kg 2.78 m/s 10. 1,200 kg 2.78 m/s 11. 1,300 kg 2.78 m/s 12. 1,400 kg 2.78 m/s 13. 1,500 kg 2.78 m/s 14. 2 Kinetic Energy (B) Definitions of Energy 15. Draw a line graph that represents the relationship between speed and kinetic energy in Experiment 1. Make sure to give the graph a title and label the x and y axes, including units. Remember that in this experiment, mass is constant. Title: _______________________________________________________ 300,000 280,000 260,000 __________________________ 240,000 220,000 200,000 180,000 160,000 140,000 120,000 100,000 80,000 60,000 40,000 20,000 0 2 4 6 8 10 12 14 16 18 20 ______________________________ 3 Kinetic Energy Definitions of Energy 16. Draw a line graph that represents the relationship between mass and kinetic energy in Experiment 2. Make sure to give the graph a title and label the x and y axes, including units. Remember that in this experiment, speed is constant. Title: _______________________________________________ 6500 6000 _____________________________________ 5500 5000 4500 4000 3500 3000 2500 2000 1500 1000 500 0 900 1,000 1,100 1,200 1,300 1,400 1,500 1,600 ____________________________ 17. In your own words, describe what the data from the graphs tell you about mass, speed, and kinetic energy. Which property seems to have a greater effect on an object’s kinetic energy: speed, mass, or both? 4
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