(adapted from https://www.uwlax.edu/mvac/educators/lessons–activities/)
This lesson is designed to guide afterschool learners through the process of testing their hypotheses by performing experimental archaeology. An example of this process will involve atlatl throwing.
Grade Level: 6-8
Objective: The goal of the activity is for learners to learn about the physics of a projectile and engage in hypothesis testing by experimenting with an atlatl, or spear thrower.
Learning Outcomes: At the end of the lesson, learners will be able to explain levers and Newton’s Laws of Motion as they relate to the atlatl. Learners will also know how to make a hypothesis and test it.
STEM: math, technology, physics, and biology
Materials: atlatl, darts (different lengths if possible), target, tape measure, recording forms, pencils; atlatls and darts can be purchased online (e.g., https://www.thunderbirdatlatl.com/ or you can make your own [http://www.svcalt.mt.gov/education/textbook/Chapter2/Atlatl_LessonPlan.pdf; other lesson plans can be found online]).
Time: 60 minutes
Overview: An atlatl, or spear thrower is a stick or short pole with a wood or bone hook on one end. The end of the spear is inserted into the hook on the atlatl and thrown. The use of an atlatl allows the spear to go farther and with more force than if thrown only by hand.
Atlatls use leverage for greater velocity. The user is able to store energy during the throw. Atlatls often have a shaft with a peg at the end that supports the end of the dart and helps it to be thrown. The atlatl is held in one hand, farthest from the hook end and the dart is thrown adjacent to the ear. The person’s arm with the atlatl acts as a lever. The atlatl extends the throwing arm, increasing the length of the lever and allowing more force from the arm through the spear holder to the dart, which means more energy and greater speed (over 150 km/h ([93 mph]). This is the same as using a “Chuck-It” for throwing dog balls. The use of spear throwers is very old (ca. 30,000 years) and seen in several parts of the world. The earliest known example is a 17,500-year-old Solutrean reindeer antler atlatl from Combe Saunière (Dordogne), France. The bones of an individual dating to 42,000 BP have arthritis in the right elbow, called “atlatl elbow,” developed from atlatl throwing. There is no evidence for atlatls in Africa. Atlatls were used throughout the Americas, from the earliest arrival of people. Most people in Europe stopped using atlatls and switched to bow and arrow around 10,000 years ago. In North America, people did not use bow and arrow until around 1500-1000 years ago.
Factors affecting distance thrown:
- Atlatl length
- Atlatl weight
- Dart weight
- Dart material
- Dart balance
- Throwing style
Longer atlatls create a greater arc of throw and therefore a greater distance over which the dart is being propelled.
- The dart should be moving faster when released from a longer atlatl than from a shorter atlatl.
Heavier atlatls are needed to throw heavier spears.
- Heavy atlatls are slower to move, though.
- You want to have the lightest atlatl for the weight of the spear/dart thrown.
- Adding stone weights increases the mass of the atlatl, allowing heavier spears to be thrown, but some speed will be lost.
- Lighter atlatls move faster and will flex when thrown, giving a final “flick” at the tip to propel the dart faster.
- The lighter the dart then the faster it can move.
It is important for the material that the dart is made of to be flexible.
- The dart is put onto the atlatl and held with pressure so that there is a slight bend to the shaft of the dart.
- This is stored potential energy that is released when the dart is thrown and propels it further.
- A too stiff shaft will not bend enough and will be able to store little or no energy.
- A too soft shaft will store energy, but the energy will not be released until after the dart is released from the atlatl.
Balanced darts do not have to be fletched (have feathers added at the end).
- Fletching stabilizes darts but also slows them down.
- The tip end of the dart should be heavier than the rest of the dart. Typically, the point is used to increase the mass of the tip.
- The shaft may taper to be slightly thinner at the end opposite the point.
NEWTON’S LAWS OF MOTION
Newton’s first law: Every object in motion tends to remain in motion unless an external force is applied to it. The same applies to an object at rest.
An object at rest will remain at rest and an object in motion will remain in motion unless something happens to them (e.g., friction or air resistance).
Examples:
- Chairs and tables do not move on their own.
- A ball rolled across the floor will eventually stop because of friction caused by its contact with the floor.
- Satellites in space keep going without propulsion because of the lack of particles to cause friction in space.
- When playing pool, you hit balls in particular places to cause them to move in specific directions.
Newton’s second law: F = ma: This is the relationship between an object’s mass (m), its acceleration (a), and the force applied to it (F).
Force is directly proportional to acceleration, so if I increase the force on an object then I will increase its acceleration, and if I decrease the force on an object then I will decrease its acceleration.
Force is also directly proportional to the mass of the object, so if I have a larger mass then I must apply a larger force to get the same acceleration.
Mass is indirectly proportional to acceleration, so if I have a larger mass its acceleration will be less than that of a smaller mass object using the same force to cause the acceleration.
Simply put: Heavier and faster equals more force
Examples:
- You would rather have a small Honda run into your car at 35 mph than a large truck at the same velocity because the larger mass means a larger force and thus more damage to your car.
- The harder you hit a baseball, the farther it will go because a larger force is acting on the same mass.
- A bowling ball and a softball dropped from the same height at the same time will hit the ground at the same time, but the bowling ball will make a deeper hole in the ground because of its mass.
Newton’s Third Law: For every action there is an equal and opposite reaction.
Every time you have a movement or a push in one direction there is the same amount of movement or push in the opposite direction.
Examples:
- When a rocket takes off the combustion of fuel pushes downward, forcing the rocket to move upward.
- When you shoot a rifle the bullet moves forward, forcing the stock backward into your shoulder.
- The amount of stretch you give to a rubber band (force) will determine how much recoil (opposite force) it has. The more you stretch it the further you can shoot it.
Levers:
As mentioned above, the person’s arm with the atlatl acts as a lever.
Levers consist of a force or effort and force arm, a resistance or load and resistance arm, and a pivot point or fulcrum. A lever, then, is a simple machine with a beam or rigid rod pivoted at a fixed hinge, or fulcrum (e.g., seesaw).
- Force X length of force arm = resistance X length of resistance arm.
- The mechanical advantage (MA) = length of the force arm divided by length of the resistance arm. This means that you have a greater mechanical advantage if the force arm is longer than the resistance arm.
- Mechanical advantage indicates how much easier a job is to complete while using a simple machine. It is the ratio of resistance force to effort force.
Atlatls are a third-class lever system (the extension of the forearm [the forward throwing motion] uses the elbow as the fulcrum)
Third class = pivot – force – resistance
- The force never has MA because by definition it is closer to the pivot than the resistance.
- The lack of MA is compensated for by the fact that you get a greater range of motion for the resistance with little motion by the force.
Examples: tweezers, tongs (with the hinge at one end), chopsticks, stapler remover, shovel, broom, bottle opener
The extension of the forearm (the forward throwing motion) uses the elbow as the pivot point; the triceps muscle is the force and it is attached to the forearm a short distance further on the forearm; the resistance is the object held in the hand furthest out from the pivot.
The flick of the wrist at the end of the throwing motion is also a third class lever system.
The triceps produce the force with very little motion and the end of the atlatl moves over a great distance thrusting the spear forward with great momentum.
When you throw something like a dart, you use your arm muscles to accelerate your hand and the thing you are throwing. As you throw, your hand pushes on the object as you throw it, speeding it up, and giving it more energy. Once the object leaves your hand, you can’t push it anymore, so you can’t give it any more energy than it had when it left your hand.
The atlatl acts like an extension of your arm, it makes your arm longer and gives you an extra joint. This way you can continue to push the dart after it has moved beyond the reach of your hand. Figure 1 shows five snapshots of the process of throwing a dart by hand. Figure 2 shows seven snap shots of the process of throwing one with an atlatl. The first four frames of both figures are very similar, but in the fifth frame of Figure 1 the dart has been released, and is no longer speeding up. In frame five of Figure 2, the dart is out of reach of the hand, but not of the atlatl, so it is still gaining energy. It is not until the seventh frame that the dart is released, by which point it has gained significantly more energy.
Vocabulary: scientific method, hypothesis, atlatl, darts, atlatl weight, Newton’s Laws of Motion, lever, experimental archaeology
Procedure: Tell learners we will be conducting experimental archaeology. In experimental archaeology, people make and use the same things that were made and used in the past (an arrowhead, a longhouse, a clay pot). Discuss what an atlatl is (Show video clips [https://www.youtube.com/watch?v=Ej3it7Ct76w]). Ask learners why they think it was used.
Ask learners if they have ever used a Chuck-It. If so, ask them why. Explain that an atlatl and a Chuck-It are the same – both simple machines.
Briefly go over Newton’s Laws of Motion as they relate to the atlatl.
Ask learners to identify the levers used in simple machines. Demonstrate with a video (e.g., https://www.youtube.com/watch?v=VQjaIvx5iRM).
Ask what is an example of a lever in your body? A lever is a rigid object that makes it easier to move a large load a short distance or a small load a large distance. The forearm is a third class lever because the biceps pull on the forearm between the joint (fulcrum) and the ball (load).
Have learners develop researchable questions and hypotheses about the atlatl to test. For example:
- Is the spear better with or without atlatl – more accurate? Faster? More force?
- Does dart length matter?
- Does the distance from a target impact accuracy?
- Does the height of the thrower impact distance?
- Is the spear better with or without weight (bannerstone)? Decrease noise of atlatl/spear?
In a large, open field, demonstrate throwing a dart without and with an atlatl. Measure how far learners can throw the dart with or without the atlatl, with spears of different lengths, their degree of accuracy, and, if possible, their success hitting moving versus stationary targets (see data collection sheet below).
Atlatl hunting and experimentation take place on a large scale today (e.g., World Atlatl Association) and learners can benefit from prior research and compare it to their own experiences.
Discuss the lesson on Newton’s Laws as learners are throwing the atlatl.
Discuss with learners how we will measure distances (show them the large tape measure). Ask them what unit of measurement we should use (inches, feet). Discuss why one unit is better to use in this experiment than another and how selecting the correct measurement is important in science. Ask them if they know the metric system. Tell them that is the standard for archaeology. Have them compare a foot and a meter.
Youth will report how (or if) they would change their hypothesis based on the experiment and data. They will make new hypotheses, retest them, and evaluate data again to support understanding of the scientific method. This can be done on Day 2 if not done on Day 1.
Extensions/alternatives: An alternative, if there is time, is to have learners go out and throw the atlatl, then come up with hypotheses, and then go back out to throw the atlatl and test their hypotheses.
Have learners calculate the difference between their best and worst (farthest and closest) throws with the atlatl; or calculate the difference between farthest distance thrown with vs. without the atlatl. What was the range of distances thrown by each individual and by the group as a whole? Have learners calculate the average distance thrown by all members of the group.
Assessment Activities: During the lesson, instructors will monitor youth to ensure they are all actively participating. Youth will fill out the form below. At the end of the lesson, youth will restate their hypothesis, present their data, and report whether their hypothesis was correct.
Wrap up: Class will end with a restatement of the learning outcomes. Ask youth: What worked for you? What did you use from the physics lesson when you were throwing? Was your hypothesis correct? Why or Why not? Was enough data obtained to support the hypothesis?
Crosscutting Concepts: Cause and Effect: Mechanism and Prediction: Events have causes, sometimes simple, sometimes multifaceted. Deciphering causal relationships, and the mechanisms by which they are mediated, is a major activity of science and engineering.
- Cause and effect relationships may be used to predict phenomena in natural or designed systems.
NYS Standards: MS. Forces and Interactions,
MS-PS2-1. Apply Newton’s Third Law to design a solution to a problem involving the motion of two colliding objects.* [Clarification Statement: Examples of practical problems could include the impact of collisions between two cars, between a car and stationary objects, and between a meteor and a space vehicle.] [Assessment Boundary: Assessment is limited to vertical or horizontal interactions in one dimension.]
MS-PS2-2. Plan an investigation to provide evidence that the change in an object’s motion depends on the sum of the forces on the object and the mass of the object. [Clarification Statement: Emphasis is on balanced (Newton’s First Law) and unbalanced forces in a system, qualitative comparisons of forces, mass and changes in motion (Newton’s Second Law), frame of reference, and specification of units.] [Assessment Boundary: Assessment is limited to forces and changes in motion in one-dimension in an inertial reference frame and to change in one variable at a time. Assessment does not include the use of trigonometry.]
Disciplinary Core Ideas: PS2.A: Forces and Motion.
• For any pair of interacting objects, the force exerted by the first object on the second object is equal in strength to the force that the second object exerts on the first, but in the opposite direction (Newton’s third law). (MS-PS2-1).
• The motion of an object is determined by the sum of the forces acting on it; if the total force on the object is not zero, its motion will change. The greater the mass of the object, the greater the force needed to achieve the same change in motion. For any given object, a larger force causes a larger change in motion. (MS-PS2-2).
• All positions of objects and the directions of forces and motions must be described in an arbitrarily chosen reference frame and arbitrarily chosen units of size. In order to share information with other people, these choices must also be shared. (MS-PS2-2)
Experimental Archaeology: Atlatl Throwing
Name:_________________________________________________________________Date:______________________
Experimental archaeology attempts to replicate past lifeways to better understand past human practices. For this exercise, we will use an atlatl, or spear thrower, to test the effectiveness of this technology.
Remember: SAFETY FIRST!
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