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© 2011 Watsonville Environmental Science Workshop. All Rights Reserved worldwide. When linking to or using WESW content, images, or videos, credit MUST be included. Newton’s Cradle Category: Physics: Force & Motion, Balance & Center of Mass, Waves & Vibrations Type: Make & Take Rough Parts List: Video: http://youtu.be/r7TVvXE1e8g How To: Glue 2 craft sticks into a “T”. Do this twice to make two T’s. Attach a “T” on two sides of the baseboard. Line them up the best you can. 10 Binder clips 5 Marbles, 1” diameter works well 4 Large craft sticks or paint paddles 2 Wood blocks, 1x2 x 3.5” 1 Baseboard, 2x4 String, kite Super glue

Newton's Cradle V5 - Community Science Workshop · PDF fileScientific"progress"is"made"by"asking"meaningful"questions"and ... 3.2"Note"the"method"of"deriving"the"solution"and"demonstrate"a

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Page 1: Newton's Cradle V5 - Community Science Workshop · PDF fileScientific"progress"is"made"by"asking"meaningful"questions"and ... 3.2"Note"the"method"of"deriving"the"solution"and"demonstrate"a

©  2011  Watsonville  Environmental  Science  Workshop.  All  Rights  Reserved  worldwide.    When  linking  to  or  using  WESW  content,  images,  or  videos,  credit  MUST  be  included.  

Newton’s  Cradle  

Category:    Physics:  Force  &  Motion,   Balance & Center of Mass, Waves & Vibrations

Type:  Make  &  Take    Rough  Parts  List:  

         

 

 

 

Video:    http://youtu.be/r7TVvXE1e8g  

How  To:    

 

 

 Glue  2  craft  sticks  into  a  “T”.  Do  this  twice  to  make  two  T’s.  

   

Attach  a  “T”  on  two  sides  of  the  baseboard.    Line  them  up  the  best  you  can.      

10   Binder  clips  5   Marbles,  1”  diameter  works  well  4   Large  craft  sticks  or  paint  paddles  2   Wood  blocks,  1x2  x  3.5”  1   Baseboard,  2x4     String,  kite     Super  glue    

Page 2: Newton's Cradle V5 - Community Science Workshop · PDF fileScientific"progress"is"made"by"asking"meaningful"questions"and ... 3.2"Note"the"method"of"deriving"the"solution"and"demonstrate"a

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 Cut  the  two  wood  blocks  so  that    

they  fit  tightly  between  the  two  T’s.    

 Attach  a  wood  block    between    

each  end  of  the  two  T’s.  

 

 

 Measure  a  piece  of  string  so  that    

it  is  twice  the  length  of    a  craft  stick.    Cut  4  more  pieces  of    string    the  same  length  as  the  first.    

 

 

 

 Make  dents  for  the  marbles  to  sit  in.    Put  a  blob  of  hot  glue  onto  each  marble  and  press  the  center  of  each  string  into  the  hot  glue.  

   

 Allow  the  glue  to  cool  and  set  then  peel  it  off  the  marble.    Attach  the  dried  glue  to  each  

marble  with  super  glue.    Gel  type  works  best.  

Page 3: Newton's Cradle V5 - Community Science Workshop · PDF fileScientific"progress"is"made"by"asking"meaningful"questions"and ... 3.2"Note"the"method"of"deriving"the"solution"and"demonstrate"a

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 Find  and  mark  the  center  of  each  T.      

Measure  2  more  marks  on  each  side  of  the  center  mark  placing  them  1”apart:  the  

diameter  of  the  marbles.    

 

Hang  the  marbles  by  clipping    both  ends  of  string  to  the  top  of  the  T.      

Align  the  string  so  the  marble  is  centered  and  hangs  just  above  the  baseboard.  

 

 

 

Adjust  the  marbles  by  pulling  on  the  strings  and  moving  the  clips  until  they  are  all  exactly  the  same  height  and  in  a  straight  line.    They  should  be  bearly  touching,  not  leaning  hard  on  

each  other.    Try  it  out.    

 

 

Fine  Points:  → Adjustment  takes  a  long  time  to  get  right.    You  are  adjusting  the  balls’  positions  in  3D  space,  and  it  has  

to  be  right  in  all  dimensions.  → Try  letting  it  go  after  pulling  two  or  three  or  four  off  to  one  side  as  well  as  just  one.      → Pull  one  back  from  each  side  and  let  them  fall  the  same  time.    Try  it  again  letting  them  fall  at  slightly  

different  times.    → You  can  make  it  with  as  many  balls  as  you  want.    Five  balls  makes  it  interesting  without  too  much  

complexity.  

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Concepts  Involved:    • Momentum  is  conserved.    In  a  collision  the  sum  of  each  mass  times  its  velocity  before  the  collision  

will  equal  the  sum  of  each  mass  times  its  velocity  after  the  collision.    One  marble  hitting  the  group  sends  another  marble  up  at  the  same  speed  since  their  masses  are  the  same.      

• Collisions  come  in  two  forms:    elastic  and  inelastic.    The  glass  in  the  marbles  is  highly  elastic  which  means  that  when  they  collide,  the  marbles  do  not  stick  together.      

• The  force  from  the  marble  hitting  travels  through  the  other  marbles  with  a  shock  wave.    The  wave  delivers  all  the  force  and  energy  necessary  to  send  the  marble  up  at  the  other  end.      

Focus  Questions:  1. What  happens  if  you  pull  back  all  but  one  marble  and  let  them  go?  2. What  happens  if  you  pull  back  one  marble  from  each  end  and  let  them  go  at  the  same  time?  3. What  happens  if  you  put  a  tiny  piece  of  chewed  gum  between  two  of  the  balls  and  then  let  one  

drop?    Move  the  gum  to  a  different  marble  and  try  it  again.  4. What  happens  if  a  car  hits  a  parked  car  of  exactly  the  same  size?  

Elaboration:  Momentum  is  related  to  mass  and  speed.    When  two  things  hit  each  other,  you  can  see  the  effects  of  momentum.    There  are  two  ways  things  can  hit  each  other:    They  can  stick  together,  or  they  can  bounce  off  each  other.    In  this  project,  they  will  bounce  off  each  other.    You  probably  already  have  a  gut  understanding  of  momentum.    If  a  small  person  runs  into  a  big  person,  the  big  person  will  not  move  much.    But  if  a  big  person  runs  into  a  small  person,  the  small  person  will  move  a  lot.    In  this  project,  the  balls  are  all  the  same  size,  so  you  can  see  what  happens  more  easily.    This project demonstrates the principle of conservation of momentum. This principle states that momentum is never lost, but rather transfers from one place to another. Momentum is defined as an object’s mass multiplied by its velocity. When a single marble is dropped, it accelerates downward until it hits the other marbles. When it hits the marbles, it has a certain velocity. After it hits that marble, it comes to a complete stop. For momentum to be conserved, something else with the same mass should take off at the same velocity in the same direction. You can see that happen with the marble on the other end. With two marbles, the mass has doubled, and two marbles will take off from the other side. Drop three and there are not three separate marbles to go up so one of the ones dropped must continue. Drop four and only one will remain stationary. It is hard to measure the velocity of marbles in this project, but velocities can be compared by watching how far up the marble swings. The higher the marble swings up, the larger velocity it had when it first began swinging. If you drop a marble from a higher position, the one that swings up from the other end should also swing up to a higher position. The force from the marble hitting one side travels through the other marbles in the form of a shock wave. If you use only two marbles, and put a piece of gum or clay on one marble, it will absorb the shock wave when it hits. It will also connect the two so they’ll move together. When they’re together, the mass is double. When the mass doubles, the velocity should half, so they should swing up to a lower height than the one was dropped

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from. You can also try the gum experiment with the whole line, which will raise the mass by five times, so the height they rebout to should drop a lot. This project is called Newton’s Cradle because it looks like a cradle when it’s moving and because Isaac Newton made many breakthroughs in understanding force, energy and momentum.

Links  to  k-­‐12  California  Content  Standards:  Grades  k-­‐8  Standard  Set  Investigation  and  Experimentation  Scientific  progress  is  made  by  asking  meaningful  questions  and  conducting  careful  investigations.    As  a  basis  for  understanding  this  concept  and  addressing  the  content  in  the  other  strands,  students  should  develop  their  own  questions  and  perform  investigations.      Grades  k-­‐12  Mathematical  Reasoning:  1.0  Students  make  decisions  about  how  to  approach  problems:  1.1  Analyze  problems  by  identifying  relationships,  distinguishing  relevant  from  irrelevant  information,    

sequencing  and  prioritizing  information,  and  observing  patterns.  1.2  Determine  when  and  how  to  break  a  problem  into  simpler  parts.      2.0  Students  use  strategies,  skills,  and  concepts  in  finding  solutions:  2.1  Use  estimation  to  verify  the  reasonableness  of  calculated  results.  2.2  Apply  strategies  and  results  from  simpler  problems  to  more  complex  problems.  2.3  Use  a  variety  of  methods,  such  as  words,  numbers,  symbols,  charts,  graphs,  tables,  diagrams,  and    

models,  to  explain  mathematical  reasoning.  2.5  Indicate  the  relative  advantages  of  exact  and  approximate  solutions  to  problems  and  give  answers  to    

a  specified  degree  of  accuracy.    3.0  Students  move  beyond  a  particular  problem  by  generalizing  to  other  situations:    3.1  Evaluate  the  reasonableness  of  the  solution  in  the  context  of  the  original  situation.  3.2  Note  the  method  of  deriving  the  solution  and  demonstrate  a  conceptual  understanding  of  the    

derivation  by  solving  similar  problems.  3.3  Develop  generalizations  of  the  results  obtained  and  apply  them  in  other  circumstances.    Grade  2  Standard  Set  1.  Physical  Sciences:  The  motion  of  objects  can  be  observed  and  measured.  1.c  Students  know  the  way  to  change  how  something  is  moving  is  by  giving  it  a  push  or  a  pull.  The  size  of    

the  change  is  related  to  the  strength,  or  the  amount  of  force,  of  the  push  or  pull.      Grade  3  Standard  Set  1.  Physical  Sciences  (Energy  &  Matter):  1.d  Students  know  energy  can  be  carried  from  one  place  to  another  by  waves,  such  as  water  waves  and    

sound  waves,  by  electric  current,  and  by  moving  objects.    Grade  8  Standard  Set  2.  Forces:  Unbalanced  forces  cause  changes  in  velocity.  2.e  Students  know  that  when  the  forces  on  an  object  are  unbalanced,  the  object  will  change  its  velocity  (that  is,  it  will  speed  up,  slow  down,  or  change  direction).    Grade  9-­‐12  Physics  Standard  Set  1.  Motion  &  Forces  Newton’s  laws  predict  the  motion  of  most  objects.  

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1.b  Students  know  that  when  forces  are  balanced,  no  acceleration  occurs;  thus  an  object  continues  to    move  at  a  constant  speed  or  stays  at  rest  (Newton’s  First  Law).