TAKS Objective 5TAKS Objective 5Motion, forces, and Motion, forces, and

energyenergy

Understanding the Understanding the formulas, constants, and formulas, constants, and

conversionsconversionsOur friends in the battle to pass the Our friends in the battle to pass the TAKS exam!!!TAKS exam!!!

IntroductionIntroduction

Today, you will…Today, you will…

Identify the units of measurement for Identify the units of measurement for objective 5 calculations.objective 5 calculations.

Learn how to utilize the constants and Learn how to utilize the constants and conversions given to you on the formula conversions given to you on the formula chart.chart.

Be able to solve TAKS questions utilizing the Be able to solve TAKS questions utilizing the formula chart.formula chart.

Units Of MeasurementUnits Of Measurement

Before you can use the Formula chart Before you can use the Formula chart provided, you must know what the provided, you must know what the symbols stand for and what they symbols stand for and what they

measure.measure.

Unit of Measurement Unit of Measurement ExamplesExamples

The formula for force is The formula for force is

Force = mass * accelerationForce = mass * acceleration

oror

F=maF=ma

This equation is a mathematical way of This equation is a mathematical way of stating Newton’s Second Law of stating Newton’s Second Law of

Motion.Motion.

Unit of Measurement Unit of Measurement ExamplesExamples

Force is measured in Newtons (N)Force is measured in Newtons (N)

Mass is measured in kilograms (kg)Mass is measured in kilograms (kg)

And acceleration is measured in And acceleration is measured in meters per second per second (m/s/s meters per second per second (m/s/s or m/s²)or m/s²)

Therefore,….Therefore,….

if you have a problem that asks for if you have a problem that asks for acceleration, and the only numbers acceleration, and the only numbers you have is a value for Force (ex. 48 you have is a value for Force (ex. 48 N) and mass (ex. 345 kg), you know N) and mass (ex. 345 kg), you know you can solve the question using the you can solve the question using the Force formula.Force formula.

The Answering Questions, The Answering Questions, QuestionsQuestions

In order to answer a TAKS question In order to answer a TAKS question that requires you to use a the that requires you to use a the

formula chart, you must …formula chart, you must …

#1. READ THE QUESTION #1. READ THE QUESTION

Example:Example:

Ryan hit a baseball with an Ryan hit a baseball with an acceleration of 40 m/s². The mass of acceleration of 40 m/s². The mass of the baseball is 0.5 kg. What was the the baseball is 0.5 kg. What was the

force of the swing? force of the swing?

#2 Ask yourself “What am I #2 Ask yourself “What am I looking for?”looking for?”

Ryan hit a baseball with an Ryan hit a baseball with an acceleration of 40 m/s². The mass of acceleration of 40 m/s². The mass of the baseball is 0.5 kg. What was the the baseball is 0.5 kg. What was the

force of the swing?force of the swing?

In the problem above, you are In the problem above, you are looking for the force of the looking for the force of the

swing.swing.

#3. Circle what you are looking #3. Circle what you are looking for.for.

Ryan hit a baseball with an Ryan hit a baseball with an acceleration of 40 m/s². The mass of acceleration of 40 m/s². The mass of the baseball is 0.5 kg. What was the the baseball is 0.5 kg. What was the

force of the swing?force of the swing?

#4. Ask yourself, “What am I #4. Ask yourself, “What am I given?”given?”

Ryan hit a baseball with an acceleration Ryan hit a baseball with an acceleration of 40 m/s². The mass of the baseball is of 40 m/s². The mass of the baseball is

0.5 kg. What was the force of the 0.5 kg. What was the force of the swing?swing?

In the problem above, you are given In the problem above, you are given both the mass of the baseball, and the both the mass of the baseball, and the acceleration. acceleration.

#5 Underline what you have #5 Underline what you have been given.been given.

Ryan hit a baseball with an Ryan hit a baseball with an acceleration ofacceleration of 40 m/s². The mass of 40 m/s². The mass of the baseball is 0.5the baseball is 0.5 kg. What was the kg. What was the

force of the swing?force of the swing?

#6 Find the correct formula #6 Find the correct formula based on given information.based on given information.

Ryan hit a baseball with an Ryan hit a baseball with an acceleration ofacceleration of 40 m/s². The mass of 40 m/s². The mass of the baseball is 0.5the baseball is 0.5 kg. What was the kg. What was the

force of the swing?force of the swing?

For this problem the correct formula is For this problem the correct formula is F=maF=ma

#7 Write the formula under the #7 Write the formula under the problem and substitute then problem and substitute then

solve.solve.

Ryan hit a baseball with an Ryan hit a baseball with an accelerationacceleration of of 40 m/s²40 m/s². The . The massmass of the baseball is of the baseball is 0.5 0.5

kgkg. What was the force of the swing?. What was the force of the swing?

F=maF=ma

F= 0.5 kg(40 m/s²)F= 0.5 kg(40 m/s²)

F= 20 NF= 20 N

More Complex Problems!?!More Complex Problems!?!

What is the net force exerted on a 90 kg What is the net force exerted on a 90 kg race car driver while the race car is race car driver while the race car is accelerating from 0 to 44.7 m/s in accelerating from 0 to 44.7 m/s in

4.50 s?4.50 s?

Some questions like the one above may Some questions like the one above may require you to use more than one require you to use more than one

formula.formula.

What is the net force exerted on a 90 What is the net force exerted on a 90 kg race car driver while the race car kg race car driver while the race car is accelerating from 0 to 44.7 m/s in is accelerating from 0 to 44.7 m/s in 4.50 s?4.50 s?

F=maF=ma

F=90 kg*(a)F=90 kg*(a)

In this problem you are given the In this problem you are given the driver’s mass but not the driver’s mass but not the acceleration. (Remember acceleration. (Remember acceleration units are m/s²)acceleration units are m/s²)

#8. Repeat steps 2-7 using the #8. Repeat steps 2-7 using the values that have not been used values that have not been used

in the first formula. in the first formula.

What is the net force exerted on a What is the net force exerted on a 90 90 kgkg race car driver while the race car race car driver while the race car is accelerating from is accelerating from 00 to to 44.7 m/s44.7 m/s in in

4.50 s4.50 s??

a = Va = V(final)(final) – V – V(initial)(initial) = (44.7 m/s - 0) = (44.7 m/s - 0)

timetime 4.50 s4.50 s

#9. Solve and substitute#9. Solve and substitute

a = Va = V(final)(final) – V – V(initial)(initial) = (44.7 m/s - 0) = 44.7 m/s = (44.7 m/s - 0) = 44.7 m/s timetime 4.50 s 4.50 s 4.50 s 4.50 s

a = 9.93 m/s² (Use this value in the formula F=ma.)a = 9.93 m/s² (Use this value in the formula F=ma.)

F=maF=maF = 90 kg*(a)F = 90 kg*(a)

F = 90 kg(9.93 m/s²)F = 90 kg(9.93 m/s²)

F = 894NF = 894N

Congratulations!!!Congratulations!!!

If you practice these steps, you will be ready If you practice these steps, you will be ready to solve any problem on the TAKS exam to solve any problem on the TAKS exam that will require you to use a formula from that will require you to use a formula from the formula chart. the formula chart.

Take this time to practice these steps on the Take this time to practice these steps on the TAKS problems in the packet you were TAKS problems in the packet you were given.given.

WE KNOW YOU CAN DO THIS!!!!WE KNOW YOU CAN DO THIS!!!!

Additional QuestionsAdditional Questions

If you are still having difficulty solving If you are still having difficulty solving these type problems, or there are these type problems, or there are

other areas of science that are other areas of science that are confusing, PLEASE ask questions. confusing, PLEASE ask questions.

We Are In This Together!We Are In This Together!

We All Want You To Succeed!! We All Want You To Succeed!!

Remember…….Remember……. Our greatest fear is not that we are inadequate,Our greatest fear is not that we are inadequate,

but that we are powerful beyond measure.but that we are powerful beyond measure. It is our light, not our darkness that frightens us.It is our light, not our darkness that frightens us.

We ask ourselves, Who am I to be brilliant,We ask ourselves, Who am I to be brilliant,gorgeous, handsome, talented and fabulous?gorgeous, handsome, talented and fabulous?

Actually, who are you not to be?Actually, who are you not to be?Your playing small does not serve the world.Your playing small does not serve the world.There is nothing enlightened about shrinkingThere is nothing enlightened about shrinkingso that other people won't feel insecure around you.so that other people won't feel insecure around you.It is not just in some; it is in everyone.It is not just in some; it is in everyone.

And, as we let our own light shine, we consciously giveAnd, as we let our own light shine, we consciously giveother people permission to do the same.other people permission to do the same.As we are liberated from our fear,As we are liberated from our fear,our presence automatically liberates others.our presence automatically liberates others.

A Return to Love by Marianne Williamson: Quoted by A Return to Love by Marianne Williamson: Quoted by Nelson  MandelaNelson  Mandela