MATH - SCIENCE INTEGRATION

bullet1 CALCULATING FORCES OF MOTION

bullet2 Motion and Forces...The Relationship

In all things of nature there is something of the marvelous.
Aristotle  (384 BC - 322 BC)


bullet3 Let's Apply It!

Everyday life is full of physics problems that concern the forces around us.  Many people have jobs in various industries that require them to solve problems dealing with force.  
                          
   


The two activities below will give you a chance to work with some of the aspects that scientists work with when applying science.


  • Car Crash Safety Concerns
    Automotive engineers spend a great deal of time solving problems that deal with car crashes.  It is important that people are safe in cars.  Many car safety issues are dealt with by the government.  In the story below, you can see just a small part of the issue.


    Before you read the story look at the questions below and think about how you feel about each question.  After you read the story,  take some of those new math skills and solve the problems on the next page.

    • Are car seats as big a deal as everyone thinks?  
    • Do air bags do more harm than good?
    • Does the government have a right to force me into wearing a seatbelt?

    FACT:  Every state in the US requires that infants ride in car seats to protect them from a possible crash.      


    There is much debate about the safety of air bags in cars and many people feel that it is their right to choose whether or not to wear a seatbelt.  Most of us do not like any laws imposed on us by the federal government, but do you think that the law that requires parents to put their children in car seats is a good thing?  Are air bags for everyone?  Do you really need to be wearing that seatbelt?  Below is some information that you need to evaluate before you give your answers.  You will give answers based on facts and calculations.  Read the information below and then perform all calculations on the next page and write them on paper.  


    CAR ACCIDENT!


    A young mother takes her infant daughter and puts her into a rear-facing car seat in the family car.  She places her 5 year old son in the front seat and buckles his seatbelt around him.  She then gets into the car, buckles her own seatbelt and starts traveling a distance of 2.5 kilometers.  The time it takes the car to travel that distance is 3 minutes.  The mother reaches over to answer her cell phone and loses control of her car, causing her to hit a cement wall and stop.  Both the mother's air bag and the passenger side airbags deploy at a velocity of 157km/hr.  The mother and infant are uninjured, just some minor bruises.  The 5 year old has some serious face and head injuries from the air bag.




     
    • You Do The Math
      CALCULATIONS:


      In order for you to make some of your calculations you need to know the following:
      • The mother's mass is 58kg.
      • The mass of the infant is 8.32kg.
      • The mass of the 5 year old is 20.0kg.
      • The car's mass is 2,200kg.

      Use the above information to answer the following questions:
      1.   What was the average speed of the car in meters per second?  In kilometers per hour?

      2.  Calculate the acceleration of the car.

      3.  Calculate the force that the car hit the wall.

      4.  Calculate the acceleration of the air bags as they deployed.

      5.  If the mother had not been wearing her seat belt, she would have continued to move forward until she hit the windshield. Calculate the force at which she would have hit the windshield.  



       
  • Graphing Forces
     

bullet3 Links

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LINKS:


What does skateboarding have to do with science?  
Well for sure, there is motion involved and you know by now that motion does not occur unless a force has been applied to the object.  

Would you rather try some demonstrations of the various forces involved with motion?  Then check out these links below.


Would you like to know more about skateboarding and science?   Click here .




Did you know that motion is divided into several types of motion?
Click here  to find out more!