Inelastic Collisions and Explosions Lesson 4 Monday, October 17, 2011 Announcements Physics Labs this week Waves, Lesson 1 HW Quiz on Tuesday (HW 1-4) Optics lab due Tuesday M&E HW #4 due Tuesday AP Physics B Standards Inelastic Collisions and Explosions LESSON 4: I.D.3.a. Students should understand linear momentum conservation, so they can: (2) Identify situations in which linear momentum, or a component of the linear momentum vector, is conserved. (3) Apply linear momentum conservation to onedimensional elastic and inelastic collisions and twodimensional completely inelastic collisions. Lesson Objectives Students will be able to 1. 2. use conservation of momentum to perform related calculations. use conservation of momentum to describe inelastic collisions and explosions. Collisions Collisions occur when two or more objects meet simultaneously. Collisions are distinguished by kinetic energy. Elastic collisions • Colliding bodies bounce off each other with no deformation or conversion of kinetic energy to other forms of energy. Inelastic collisions • Deformation occurs, kinetic energy is converted to other forms of energy. Perfectly Inelastic • Objects stick together and become one object. Kinetic energy is converted to other forms of energy. Inelastic Collisions Inelastic collisions Deformation occurs. Kinetic energy is converted to other forms of energy. Perfectly Inelastic Objects stick together and become one object. Kinetic energy is converted to other forms of energy. o Sample Problem 4.1: An 80-kg roller skating grandma collides with and picks up a 40-kg kid. What is their velocity after the collision? o Sample problem 4.2: A fish moving at 2 m/s swallows a stationary fish which is 1/3 its mass. What is the velocity of the big fish after dinner? Explosions A perfectly inelastic collision in reverse. Explosions obey conservation of momentum, since all forces in an explosion are internal to the system. There is a definite conversion of energy from one form to another in an explosion! Sample Problem 4.3: An exploding object breaks into three fragments. A 2.0 kg fragment travels north at 200 m/s. A 4.0 kg fragment travels east at 100 m/s. The third fragment has mass 3.0 kg. What is the magnitude and direction of its velocity? Recoil Recoil is the backward movement of a gun when it is fired. The gun moves backward with the same momentum with which the bullet moves forward. All forces are internal. Momentum is conserved. o Sample Problem 4.4: A 5.0-kg projectile launcher shoots a 209 gram projectile at 350 m/s. What is the recoil velocity of the projectile launcher?