There are four forces in the universe that make everything move, shift, explode, zoom, wiggle, and dance. As two of these forces require a nuclear reactor in your garage, we’ll just focus on the other two for now: the electromagnetic and the gravitational.


This video gets you started on the right foot. We’ll outline what’s coming up for this week and how to get the most out of our lesson together. Enjoy!


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Ok, sort of a silly experiment I admit. But here’s what we’re going for – there is an invisible force acting on you and the ball. As you will see in later lessons, things don’t change the way they are moving unless a force acts on them. When you jump, the force that we call gravity pulled you back to Earth. When you throw a ball, something invisible acted on the ball forcing it to slow down, turn around, and come back down. Without that force field, you and your ball would be heading out to space right now!
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Here’s what you need:


  • you
  • the Earth (or any planet that’s convenient)
  • a ball


Download Student Worksheet & Exercises


Here’s what you do:


1. Jump!
2. Carefully observe whether or not you come back down.
3. Take the ball and throw it up.
4. Again, watch carefully. Does it come down?


Gravity is probably the force field you are most familiar with. If you’ve ever dropped something on your foot you are painfully aware of this field! Even though we have known about this field for a looooong time, it still remains the most mysterious field of the four.


What we do know is that all bodies, from small atoms and molecules to gigantic stars, have a gravitational field. The more massive the body, the larger its gravitational field. As we said earlier, gravity is a very weak force, so a body really has to be quite massive (like moon or planet size) before it has much of a gravitational field. We also know that gravity fields are not choosy. They will attract anything to them.


All types of bodies, from poodles to Pluto, will will attract and be attracted to any other type of body. One of the strangest things about gravity is that it is only an attractive force. Gravity, as far as we can tell, only pulls things towards it. It does not push things away. All the other forces are both attractive (pull things towards them) and repulsive (push things away). (Gravity will be covered more deeply in a later lesson.)


Exercises 


  1. What did you determine about gravity and how it affects the rate of falling?
  2. Did changing the object affect the rate of falling? Why or why not?
  3. Did changing the variable affect the rate of falling?  Why or why not?

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Advanced students: Download your Gravitational Force Lab here.


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Remember, there are four different kinds of forces: strong nuclear force,
electromagnetism, weak nuclear force, and gravity. There are also four basic force fields that you come into contact with all the time. They are the gravitational field, the electric field, the magnetic field, and the electromagnetic field. Notice that those four force fields really only use two of the four different kinds of force: electromagnetism and gravity. Let’s take a quick look at what causes these four fields and what kind of objects they can affect, starting with the magnetic field.


Here’s what you need:
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  • you
  • a compass

You’re probably fairly familiar with magnetic fields. If you’ve ever stuck a magnet to a refrigerator, you’ve taken advantage of magnetic fields. Sticking a magnet to a refrigerator is one of those every day experiences that should just be absolutely flabbergasting. There you are holding an “I’d Rather be Relative” magnet and it sticks to the fridge! But wait a minute, if you put it on the wall… it falls off! How does it “know” what to stick to? Not only does it stick to the fridge, it also pushes some things away, attracts other things and couldn’t care less about still other things. What’s that all about?! We rarely think about what magnets do but, wow, the things they do are weird!


Magnetic fields come from objects that have a surplus of electrons all moving in the same direction. This can be an electric wire with current running through it or one of several special types of metals. Iron, nickel and cobalt are the most common metals that can be magnetic. Magnetic fields can only affect objects that can be magnetic themselves. That’s why a magnet can attract an iron nail, but it can’t attract an aluminum can. The iron nail can be magnetic, but the aluminum cannot. Magnets can also be attractive or repulsive. Two magnets with the same kind of poles facing one another will push themselves apart. Two magnets with opposite poles facing one another will pull themselves together.



 
Download Student Worksheet & Exercises


Using a compass and the Earth, you can do a simple experiment to detect the magnetic field of our planet. (If you don’t have a compass, just slide a magnet along the length of a needle several times (make sure you only swipe in one direction!) then stick it through a cork or bit of foam. Float the needle-foam thing in a cup of water.)


1. Look at the compass


2. Walk anywhere and keep your eye on the compass.


3. Turn around in circles and keep your eye on the compass (don’t get too dizzy).


Again a very simple little activity, but I hope you can see the point. No matter where you went or what you did, that needle always pointed the same direction! The Earth’s magnetic force field, another strange and mysterious force, always pushes that needle in the same direction. It’s invisible and you can’t feel it…but the needle can!


 Exercises 


  1. Why does the needle need the foam?
  2.  Why do we use water?
  3. What are the forces in a magnetic field?

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iStock_000002030797XSmallThe electromagnetic field is a bit strange. It is caused by either a magnetic field or an electric field moving. If a magnetic field moves, it creates an electric field. If an electric field moves, it creates a magnetic field.


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A moving electric field creates a moving magnetic field, which creates a moving electric field, which creates a moving magnetic field and on and on. Pretty strange huh? So an electromagnetic field is both an electric field and a magnetic field all rolled into one. Light, radio waves, and microwaves are examples of electromagnetic waves created by moving self-creating electronic and magnetic fields.


Until 1820, magnetic fields and electric fields were thought of as two completely separate things. A fellow by the name of Hans Christian Ørsted was preparing for a lecture when he noticed that a compass needle jumped when he flipped a switch that caused electricity to flow through some wires. This chance observation caused him to investigate further and discover that electric fields create magnetic fields and vice-versa.


Thus, through a completely random observation, electromagnetism was discovered. Without that discovery we wouldn’t have electric engines, radios, cell phones, television or Filbert the Flounder electric toothbrushes! Hooray for Ørsted!


A Summary of Force Fields and Objects

Type of Force Field Objects That Create Force Objects Are Affected By Force Force Field Can Attract and Repel
Gravitational Any object Any object Only attract
Magnetic Moving Electrons A metal that can be magnetic Attract and repel
Electric An electrically charged body Any body Attract and repel
Electromagnetic A moving magnetic field or a moving electric field A magnetic or electric field Attract and repel

The rest of this experiment (below) is for advanced students: (Hint: you need to have access to upper level content.)
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Measuring the Earth’s Magnetic Pulse

When you stare at a compass, the needle that indicates the magnetic field from the Earth appears to stand still, but we’re going to find how it fluctuates and moves by creating a super-sensitive instrument using everyday materials (for comparison, you would spend over $100 for a scientific instrument that does the same thing).


Today you get to learn how to amplify tiny pulses in the Earth’s magnetic field using a laser and a couple of magnets. It’s a very cool experiment, but it does take patience to make it work right.


Materials


  • Index card or scrap of cardboard
  • 2 small mirrors
  • 2 rare earth magnets
  • Nylon filament (thin nylon thread works, too)
  • 4 doughnut magnets
  • Laser pointer (any kind will work – even the cheap key-chain type)
  • Clean glass jar (pickle, jam, mayo, etc… any kind of jar that’s heavy so it won’t knock over easily)
  • Wooden spring-type clothespin
  • Hot glue gun, scissors and tape


Download Student Worksheet & Exercises


  1. Sandwich the twine between the two rare earth magnets. These are the stronger magnets.
  2. Use a tiny dab of glue on one of the magnets and attach a mirror to the magnet. Do this on the other side for the second magnet and mirror.
  3. Lower the mirror-magnets into the container, leaving it hanging an inch above the bottom of the jar. Cut the twine at the mouth level of the container.
  4. Glue the top of the twine to the bottom of the lid, right in the center.
  5. When the glue has dried, place your mirror-magnets inside the jar and close the lid. Make sure that the mirror-magnets don’t touch the side of the jar, and are free to rotate and move.
  6. You’ve just built a compass! The small magnets will align with the Earth’s magnetic field. Slowly rotate the jar, and watch to see that the mirror-magnets inside always stay in the same configuration, just like the needle of a standard compass.
  7. Set your new compass aside and don’t touch it. You want the mirror-magnets to settle down and get very still.
  8. You are going to build the magnet array now. Stack your four doughnut magnets together in a tall stack.
  9. Fold your index card in half, and then open it back up. On one side of the crease you’re going to glue your magnets. When the magnets are attached, you’ll fold the card over so that it sits on the table like a greeting card with the magnets facing your glass jar.
  10. Tape your index card down to the table as you build your magnet array. (Otherwise the paper will jump up mid-way through and ruin your gluing while you are working.)
  11. Place a strip of glue on the bottom magnet of your stack and press it down onto the paper, gluing it into place.
  12. Lift the stack off (the bottom magnet should stay put on the paper) and place glue on the bottom magnet. Glue this one next to the first.
  13. Continue with the array so you have a rectangle (or square) arrangements of magnets with their poles oriented the same way. Don’t flip the magnets as you glue them, or you’ll have to start over to make sure they are lined up right.
    Since we live in a gigantic magnetic field that is 10,000 times more powerful than what the instrument is designed to measure, we have to “zero out” the instrument. It’s like using the “tare” or “zero” function on a scale. When you put a box on a scale and push “zero”, then the scale reads zero so it only measures what you put in the box, not including the weight of the box, because it’s subtracting the weight of the box out of the measurement. That’s what we’re going to do with our instrument: we need to subtract out the Earth’s magnetic field so we just get the tiny fluctuations in the field.
  14. Place your instrument away from anything that might affect it, like magnets or anything made from metal.
  15. Fold the card back in half and stand it on the table. We’re normally going to keep the array away from the jar, or the magnet array will influence the mirror-magnets just like bringing a magnet close to a compass does. But to zero out our instrument, we need to figure out how far away the array needs to be in order to cancel out the Earth’s field.
  16. Bring the array close to your jar. You should see the mirror-magnets align with the array.
  17. Slowly pull the magnet array away from the compass to a point where if it were any closer, the mirror-magnets would start to follow it, but any further away and nothing happens. It’s about 12 inches away. Measure this for your experiment and write it on your array or jar so you can quickly realign if needed in the future.
  18. Insert your laser pointer into the clothespin so that the jaws push the button and keep the laser on. Place it at least the same distance away as the array. You might have to prop the laser up on something to get the height just right so you can aim the laser so that it hits the mirror inside. (Note that you’ll have a reflection from the glass as well, but it won’t be nearly as bright.)
  19. Find where the laser beam is reflected off the mirror and hits the wall in your room. Walk over and tape a sheet of paper so that the dot is in the middle of the paper. Use a pen and draw right on top of the dot, and mark it with today’s date.
  20. Do you notice if it moves or it is stays put? Sometimes the dot will move over time, and other times the dot will wiggle and move back and forth. The wiggles will last a couple of seconds to a couple of minutes, and those are the oscillations and fluctuations you are looking for!
  21. Tape a ruler next to the dot so you can measure the amount of motion that the dot makes. Does it move a lot or a little when it wiggles? Two inches or six?

What’s Going On?

The reason this project works is because of tiny magnetic disturbances caused by the ripples in the ionosphere. Although these disturbances happen all the time and on a very small scale (usually only 1/10,000th of the Earth’s magnetism strength), we’ll be able to pick them up using this incredibly simple project. Your reflected laser beam acts like an amplifier and picks up the movement from the magnet in the glass.


Construction tip for experiment:
You need to use a filament that doesn’t care how hot or humid it is outside, so using one of the hairs from your head definitely won’t work. Cotton tends to be too stretchy as well. Professionals use fine quartz fibers (which are amazingly strong and really don’t care about temperature or humidity). Try extracting a single filament from a multi-stranded nylon twine length about 30″ long. If you happen to have a fine selection of nylon twine handy, grab the one that is about 25 microns (0.01″) thick. Otherwise, just get the thinnest one you can find.


You can tape a wooden clothespin down to the table and insert your laser pointer inside – the jaws will push the button of the laser down so you can watch your instrument and take your measurements. When you’re ready, tape a sheet of paper to the wall where your reflected beam (reflected from the mirror, not the glass… there will be two reflected beams!) hits the wall and mark where it hits. Over periods of seconds to minutes, you’ll see deflections and oscillations (wiggles back and forth) – you are taking the Earth’s magnetic pulse!


In order for this experiment to work properly, ALL magnets (including the penny described below) need to be in the same plane. That is, they all need to be the same height from the ground. You can, of course, rotate the entire setup 90 degrees to investigate the magnetic ripples in the other planes as well!


To make this instrument even more sensitive, glue a copper penny (make sure it’s minted before 1982, or you’ll get an alloy, not copper, penny) to the glass jar just behind the magnets (opposite the laser). When your magnets move now, they will induce eddy currents in the penny that will induce a (small) magnetic field opposite of the rotation of the magnets to dampen out “noise” oscillation. In short, add a penny to the glass to make your instrument easier to read.


Also, note that big, powerful magnets will not respond quickly, so you need a lightweight, powerful magnet.


You can walk around with your new instrument and you’ll find that it’s as accurate as a compass and will indicate north. You probably won’t see much oscillation as you do this. Because the Earth has a large magnetic field, you have to “tare” the instrument (set it to “zero”) so it can show you the smaller stuff. Use the doughnut magnets about 30 centimeters away as shown in the video.


Exercises


  1. Does the instrument work without the magnet array?
  2. Why did we use the stronger magnets inside the instrument?
  3. Which planet would this instrument probably not work on?

Advanced Students: Download your Electromagnetic Field Lab here.


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You are actually fairly familiar with electric fields too, but you may not know it. Have you ever rubbed your feet against the floor and then shocked your brother or sister? Have you ever zipped down a plastic slide and noticed that your hair is sticking straight up when you get to the bottom? Both phenomena are caused by electric fields and they are everywhere!


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An electric field exists when at least one body is electrically charged. Atoms are filled with positively charged protons and negatively charged electrons. If an object has more electrons than protons, it will be negatively charged and if it has fewer electrons than protons, it will be positively charged. Electric fields, like magnetic fields, can attract and repel. If two bodies have the same kind of charge, that is either both are negative or both are positive, they will push themselves away from each other. If one body has a positive charge and the other has a negative charge, they will attract each other. Charged bodies can also attract bodies that are neither positive nor negative but are just neutral.


Electric fields are extremely common. If you comb your hair with a plastic comb, you cause that comb to have a small electric field. When you take off a fleece jacket or a polyester sweat shirt, you create an electric field that may be thousands of volts! Don’t worry, you can’t get hurt. There may be lots of voltage but there will be very little amperage. It’s the amperage that actually hurts you.


Here’s a simple experiment you can do that only needs four simple items:
– head of hair
– balloon
– yardstick or meterstick
– large spoon


Here’s what you do:



 
Download Student Worksheet & Exercises


Make sure you’ve tried out these Static Electricity experiments and learn how to light a bulb without plugging it into the wall!


Exercises 


  1. What happens if you rub the balloon on other things, like a wool sweater?
  2. If you position other people with charged balloons around the table, can you keep the yardstick going?
  3.  Can we see electrons?
  4.  How do you get rid of extra electrons?
  5.  Does the shape of the balloon matter?
  6.  Does hair color matter?
  7.  Rub a balloon on your head, and then lift it up about 6”. Why is the hair attracted to the balloon?
  8. Why does the hair continue to stand on end after the balloon is taken away?
  9. What other things does the balloon stick to besides the wall?
  10. Why do you think the yardstick moved?
  11. What other things are attracted or repelled the same way by the balloon? (Hint: try a ping pong ball.)

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Have you ever been close to something that smells bad? Have you noticed that the farther you get from that something, the less it smells, and the closer you get, the more it smells? Well forces sort of work in the same way.


Forces behave according to a fancy law called the inverse-square law. To be technical, an inverse-square law is any physical law stating that some physical quantity or strength is inversely proportional to the square of the distance from the source of that physical quantity.


The inverse-square law applies to quite a few phenomena in physics. When it comes to forces, it basically means that the closer an object comes to the source of a force, the stronger that force will be on that object. The farther that same object gets from the force’s source, the weaker the effect of the force.


Mathematically we can say that doubling the distance between the object and the source of the force makes the force 1/4th as strong. Tripling the distance makes the force 1/9th as strong. Let’s play with this idea a bit.


Here’s what you need:


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  • magnet
  • paper clip
  • string
  • tape

Using a magnet (the stronger the better), paper clip, string (or yarn or even dental floss!), and tape, you can make a flying paper clip.


OPTIONAL: If you happen to have a spring scale and ruler, get those out, too…otherwise, just skip these items – they are not essential to understanding the concept here.



 
Download Student Worksheet & Exercises


1. Tie about 4 inches of string to a paper clip.
2. Tape the magnet to the table.
3. Hold the end of the string that is not tied to the paper clip and let the paper clip dangle.
4. Slowly bring the paper clip closer and closer to the magnet.
5. Notice that the closer you get to the magnet, the stronger the force of the magnetic field is on the paper clip.


If you have a spring scale:
6. Attach the paper clip to the spring scale.
7. Move the paper clip closer to the magnet until the magnetic field affects the paper clip.
8. Measure how far the paper clip is from the magnet with a ruler.
9. Measure how much pull there is on the paper clip. Use newtons if your spring scale shows that measurement, but grams are OK if it doesn’t.
10. Bring the paper clip a half inch closer and measure the force of the pull again either in grams or Newtons.
11. Continue to get closer to the magnet half an inch at a time, measuring the force until you can’t get any closer.


What you may have noticed here was that the closer you got the paper clip to the magnet (the object causing the force field) the stronger the force was on the paper clip. You have just seen the inverse-square law in action!


Exercises: 


  1. Circle one: The closer you get to the magnet, the (stronger | weaker) the force of the magnetic field is on the paper clip.
  2. Why does it matter which way you orient the magnet in this experiment?
  3. Which magnet has the strongest magnetic field?
  4. Is the north or south pole stronger on a magnet?

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cerealDid you know that your cereal may be magnetic? Depending on the brand of cereal you enjoy in the morning, you’ll be able to see the magnetic effects right in your bowl. You don’t have to eat this experiment when you’re done, but you may if you want to (this is one of the ONLY times I’m going to allow you do eat what you experiment with!) For a variation, pull out all the different boxes of cereal in your cupboard and see which has the greatest magnetic attraction.


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Materials:


  • a bowl of cereal with milk
  • spoon


 
Download Student Worksheet & Exercises


  1. Fill the bowl with milk.
  2. Put about 20 pieces of cereal (not the whole box!) into the bowl.
  3. Stir up the bowl a little and watch what happens.

If you watched carefully, you saw that as the cereal “O’s” got close to one another, they attracted each other. The closer they got, the stronger was their attraction to each other and the faster they moved towards each other. If you wait and watch long enough, you get a nice tight batch of cereal all clustered together in one or two big blobs. This activity is a great illustration of what is meant by the inverse square law because the attraction between “O’s” was stronger the closer they got to each other.


I discovered this activity one morning as I was eating cereal. The same thing happens with bubbles when you’re doing the dishes. Science is everywhere! Feel free to eat the cereal!


Exercises 


  1. Why do the pieces of cereal stick to each other?
  2.  Does the cereal move slower or faster the closer the pieces come in contact with each other?
  3.  What other cereals does it work for?

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It is very rare, especially on Earth, to have an object that is experiencing force from only one direction. A bicycle rider has the force of air friction pushing against him. He has to fight against the friction between the gears and the wheels. He has gravity pulling down on him. His muscles are pushing and pulling inside him and so on and so on.


Even as you sit there, you have at least two forces pushing and pulling on you. The force of gravity is pulling you to the center of the Earth. The chair is pushing up on you so you don’t go to the center of the Earth. So with all these forces pushing and pulling, how do you keep track of them all? That’s where net force comes in.


The net force is when you add up all of the forces on something and see what direction the overall force pushes in. The word “net”, in this case, is like net worth or net income. It’s a mathematical concept of what is left after everything that applies is added and subtracted. The next activity will make this clearer.


Here’s what you need:


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  • a rope (at least 3 feet long is good)
  • a friend
  • a sense of caution

(Be careful with this. Don’t pull too hard and please don’t let go of the rope. This is fun but you can get hurt if you get silly.)



Download Student Worksheet Exercises


1. You and your friend each grab an opposite end of the rope.
2. Both of you pull just a bit on the rope.
3. Have your friend pull a bit harder than you. Notice the direction that you both move.
4. Now you pull harder than your friend. Now which way do you go?
5. Lastly, both of you pull with the same strength on the rope. Even though you are both pulling, neither one of you should move.


In this experiment, there were always at least three forces pulling on the rope. Can you think of the three? They are you, your friend and gravity. You were pulling in one direction. Your friend was pulling in another direction and gravity was pulling down.


When one of you pulled harder (put more force on the rope) than the other person, there was a net force in the direction of the stronger pull. The rope and you guys went in that direction.


When both of you were pulling the same amount, there was an equal force pulling the rope one way and another equal force pulling the rope the other way. Since there were two equal forces acting in two opposite directions, the net force equaled zero, so there was no movement in either direction. No net force in this case means no movement.


As you’ll see when you learn about Newton’s second law, no net force means no acceleration.


Let’s take another look at the bicycle rider we talked about earlier. To make things easier, we’ll call him Billy. For Billy to speed up, he needs to win the tug of war between all of the forces involved in riding a bicycle. In other words, his muscles need to put more force on the forward motion of the bike than all of the forces of friction that are pushing against him.


If he wants to slow down, he needs to allow the forces of friction to win the tug of war so that they will cancel out his forward motion and slow down the bike. If he wants to ride at a steady speed, he wants the tug of war to be tied. His muscles need to exert the same amount of force pushing forward as the friction forces pulling in other directions.


Advanced Students: Download your Net Forces Lab here.


Exercises:


  1. For scenario 1, in which direction did you both move?  Draw the free body diagram below
  2. For scenario 2, in which direction did you both move?  Draw the free body diagram below
  3.  For scenario 3, in which direction did you both move?  Draw the free body diagram below
  4. For scenario 4, in which direction did the rope move?  Draw the free body diagram below
  5. What was the same about question 1 and question 4?  What was different?
  6.  Even though the forces were less in question 1 than question 4, what was the net force for both?
  7.  There were always at least 3 forces acting on the rope, what were they?  Did you include the third force in your free body diagram?
  8. If the rope was slightly off the ground, with gravity pulling it down, what does that tell you about the force you and your friend exerted?

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What keeps building from toppling over in the wind? Why are some earthquake-proof and others not? We’re going to look at how engineers design buildings and bridges while making our own.


Here’s what you need:
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  • Index cards
  • Blocks
  • Straws
  • Clay
  • Disposable cups

Watch the video:




Download Student Worksheet Exercises


Exercises 


  1. What are three different kinds of forces?
  2.  Using only blocks, what kind of wall design is the weakest?
  3.  Why does the bridge seem stronger when a card is arched underneath?

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This roof can support over 400 times its own weight, and you don’t need tape! One of the great things about net forces is that although the objects can be under tremendous force, nothing moves! For every push, there’s an equal and opposite pull (or set of pulls) that cancel each other out.


This barrel roof is an excellent example of how to the forces all cancel out and the roof stands strong (hopefully!) If you have trouble with this experiment, just use cardstock or other heavy weight paper instead of regular copy paper.


Here’s what you need:
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Watch the video:



 
Download Student Worksheet & Exercises


Exercises 


  1. What is Newton’s Third Law?
  2. What kind of groups do forces come in?
  3. What is another name for Newton’s Third Law?

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Let’s see how much you’ve picked up with these experiments and the reading – answer as best as you can. (No peeking at the answers until you’re done!)  Just relax and see what jumps to mind when  you read the question.  You can also print these out and jot down your answers in your science notebook.
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Here’s printer-friendly versions of the exercises and answers for you to print out: Simply click here for K-8 and here for K-12.


1. Name at least one force that is acting on you right now.


2. Name at least two invisible force fields that are surrounding you right now.


3. What kind of an object can be affected by a gravitational force field?


4. What kind of an object can be affected by an electrical force field?


5. What kind of an object can be affected by a magnetic force field?


6. What happens to the force on an object as it gets closer and closer to a magnet?


7. How does the force of the Sun’s gravitational pull on Neptune (the farthest planet from the Sun if you don’t count Pluto) compare to the force of the Sun’s gravitational pull on Mercury (the closest planet to the Sun).


Need answers?
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For advanced students

…we have a more advanced set of exercises at the back of your textbook download.


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Let’s see how you did! If you didn’t get a few of these, don’t let it stress you out – it just means you need to play with more experiments in this area. We’re all works in progress, and we have our entire lifetime to puzzle together the mysteries of the universe!


Answers:
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1. Gravity is pulling on you. If you’re sitting your chair is pushing up on you as well.


2. Gravity and magnetic fields. To be honest, you are probably also sitting in an electromagnetic field as well. Can you get a radio or a cell phone to work where you are? If so, you’re in an electromagnetic field.


3. Any object can be pulled by a gravitational force field.


4. Any object. An electrically charged object or a neutral object can be pushed or pulled by an electric field.


5. Another magnet or something with a metal in it that can be magnetic.


6. The force the magnet exerts on the object becomes greater and greater as the object gets closer. The inverse-square rule is a way of describing how force increases as objects get closer together.


7. Since Neptune is farther away, the inverse-square rule says that the Sun’s gravitation pull on it is much smaller.


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