Lab Manual 2005

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$Sample Math Placement Test$

$Y:\How to solve 2 dimension relative velocity problems.wpd$

1. A 25.0 kg child on a merry-go-round is moving with a speed of 1.35 m/s when 2.0 m fromthe center of the merry-go-round. Calculate the net horizontal force exerted on the child.2. A horizontal force of 200 N is exerted on a 2.0 kg disc as it is rotated uniformly in ahorizontal circle of radius 1.0 m. calculate the speed of the disc.3. A 0.40 kg ball, attached to the end of a cord, is rotated in a circle of radius 1.2 m on africtionless horizontal surface. If the cord will break when the tension exceeds 50 N, whatis the maximum speed the ball can have?- 42 -
CollisionsSituation: Have you ever witnessed a car accident? How many different types of collisionhave you seen? Most people have witnessed various types of collisions, either real life ormovie stunts, and can describe different situations. For example, imagine a speeding carcolliding with a parked car. After impact the two vehicles could bounce apart and moveoff at different velocities or they could become entangled and move together at onecombined speed. Now consider a head on collision where the two vehicles, movingtowards each other, stick together after impact and continue with a new velocity.Each of these collisions, although having different conditions before and after impact, canbe analyzed using the same techniques since collisions between objects are governed bythe laws of momentum and energy. In this lab we will examine various collisions usingboth the Law of Conservation of Momentum and the Law of Conservation of Energy.Theory: The Law of Conservation of Energy allows us to analyze initial conditions for asystem and predict conditions and behaviour at a later time. The law states that the energyin a system is constant. However, some energy may be in a form that isn’t easy tomeasure – for instance, frictional heating or the deformation of an object. The Law ofConservation of Momentum provides a simple method for the analysis of systems thatinclude these elusive forms of energy.The Law of Conservation of Momentum states that the total momentum of a system isconstant. Momentum is the “quality” or “durability” of motion. In physics terms,momentum is an object's mass multiplied by its velocity. The symbol for the quantitymomentum is the small case “p”; therefore the equation can be written as:p = m × vIt is important to note that the law of conservation of momentum states that the totalmomentum in a “system” is constant. When we use the word “system”, we mean all ofthe objects we are considering. We could have several objects that interact with eachother, but with nothing else. In that case, one object could transfer some or all of itsmomentum to another object, but the sum of all of the momentum in this system wouldremain the same. However, a force acting for a given amount of time will change anobject's momentum.Put another way, an unbalanced force always accelerates an object - either speeding it upor slowing it down. If the force acts opposite the object's motion, it slows the objectdown. If a force acts in the same direction as the object's motion, then the force speedsthe object up. Either way, a force will change the velocity of an object and if the velocityof the object is changed, then the momentum of the object is changed.- 43 -
Page 1 and 2: Data AnalysisSituation: This is an
Page 3 and 4: Part 2 (Use Data Set 2)1. Identify
Page 5 and 6: Kinematics(ULV)Situation: Consider
Page 7 and 8: 7. Calculate the area under the vel
Page 9 and 10: Kinematics(ULA)Situation: Consider
Page 11 and 12: 7. What does the area represent?8.
Page 13 and 14: Projectile SimulationSituation: Pro
Page 15 and 16: DATADot # Time (s) Horizontalx (m)0
Page 17 and 18: 10. What is the velocity at 2.0s ?
Page 19 and 20: Relative Velocity SimulationSituati
Page 21 and 22: → It is also convenient to have v
Page 23 and 24: 4. Considering delta notation, dete
Page 25 and 26: Analysis:1. What does the slope of
Page 27 and 28: Constant Net Force ModelSituation:
Page 29 and 30: Part 1: Vary the force applied whil
Page 31 and 32: 4. According to 3b what are the uni
Page 34 and 35: Materials:Purpose:A force sensor, w
Page 36 and 37: 7. Given that two objects of equal
Page 38 and 39: Part 1: Varying the mass.• Enter
Page 40 and 41: Part 3: Varying the radius.• Ente
Page 44 and 45: These concepts are merely an outgro
Page 46 and 47: Part 2Procedure: Collisions between
Page 48 and 49: Part 3Procedure: Referring to the c
Page 50 and 51: 2. As a ball falls toward earth, it
Page 52 and 53: →Run the experiment to collect da
Page 54 and 55: → Verify Conservation of Energy w
Page 56 and 57: →Locate, on the track, each posit
Page 58 and 59: • We need to provide a “control
Page 60 and 61: 3. Can you rewrite the equation fro
Page 62: - 62 -

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