2. How does mathematics Effect science? By Laura Friel 8M7

3. MASS  Mass is the amount of matter in an object. Mass is calculated by using a triple beam balance.  In order to use a triple beam balance you must know how to add, which is where the math comes into play. On the triple beam balance below, the top beam reads 70grams, the middle beam reads 300grams, and the bottom beam reads 3.4grams Add them all up to get the total mass of the object Example: 70g. + 300g. + 3.4g.= 373.4grams

4.  Volume is the amount of space in an object.  In order to find volume of a solid you must know the length, width, and height.  Find all measurements by using a ruler and measuring in centimeters.  Use the formula : Length x Width x Height to find volume. (V=LxWxH)  Your end unit will always be cm³. EXAMPLE: (using the picture below) 1. Write down the formula V=LxWxH 2. Plug in the measurements V=5cmx5cmx5cm 3. Calculate V=125cm³

5.  Need a graduated cylinder and a triple beam balance.  Must find mass of the graduated cylinder that will be used while it is empty.  No specific formula for this method.  Unit is in grams (g.) EXAMPLE: (using pictures below) 1. Calculate mass of empty graduated cylinder 2. Pour liquid into graduated cylinder. 3. Calculate mass of the liquid in the graduated cylinder 4. Subtract mass of graduated cylinder and the number you get is the volume of the liquid. (25g. – 5g.= 20g.) 5. Your volume is 20g. 5 grams (without liquid) 25 grams (with liquid)

6. DENSITY Density is calculated through the formula density=mass÷volume (D=M÷V) EXAMPLE: Use the following 3 steps to get your answer 1. Write the formula: D=M÷V 2. Plug in the information given: D=20g.÷5cm 3. Solve: D=4 g/cm M=20grams V=5centimeters

7.  Force is found through the formula: Force=MassxAcceleration (F=MxA) A horse has a mass of 400,000 grams and is moving at an acceleration of 5 m/s². How strong is the force being applied to make the horse move? 1.Write the formula: F=MxA 2.Plug in the given information: F=4,000x5 3.Solve: F= 20,000newtons ***FORCE ALWAYS USES THE UNIT ‘NEWTONS’***

8. MOMENTUM Found through the formula : Momentum=MassxVelocity A baby has a mass of 600grams and is crawling at a velocity of 2m/s west. What is his momentum? STEPS: 1. Write the formula: Momentum=MassxVelocity 2. Plug in the information you are given: Momentum=600x2 3. Solve: Momentum=1200g(m/s)west

9.  Found through the formula: Work=ForcexDistance (W=FxD) If a person has to apply a force of 10 newtons to push a couch 7 meters, how much work would be applied? STEPS: 1. Write the formula: W=FxD 2. Plug in the information given: W=10x7 3. Solve: W=70joules ***WORK is always used with the unit JOULES***

10.  Power is found through the formula: Power=Work/time (P=W/T) A person is riding their bike using 45joules in 15minutes. What is the power? 1. Write down the formula: P=W/T 2. Plug in the information being provided: P=45/15 3. Solve: P=3watts. ***WATTS will always be the unit used for POWER***

11. Weight on earth  Weight varies depending on where you are because it is a measurement of gravity.  The formula used to find the weight of an object on earth is Weight=.98xMass (W=.98xM) A fulled storage box has a mass of 150grams. What is its weight on earth? 1. Write down the formula: W=.98xM 2. Plug in the mass: W=.98x150 3. Solve: W=147Grams. ***Unit VARIES depending on the unit you STARTED with***

12. Periodic Table Each element has a number at the top. That number is the atomic mass All of the elements are arranged from least to greatest based on their atomic number. math plays a key part in this because without numbers the periodic table itself would cease to exist. Numbers are needed to organize the elements and without them, the periodic table would just be a bunch of information on paper.

13. Elements on the Periodic Table This all relates to math because with out number scales or numbers, we wouldn’t be able to classify all of the elements in the periodic table. We also wouldn’t be able to tell the difference in mass between elements.  92 stands for the atomic number. The atomic number is the amount of protons found in that atom.  The capital ‘U’ stands for the atomic symbol. In other words, ‘U’ stands for uranium.  238.02891 stands for atomic mass.

14. Velocity and speed are found the same way, except velocity has a direction and speed doesn’t. A runner finishes a 24mile marathon in an hour and 30 minutes heading west. What was the speed and velocity of the runner? To find the speed use the formula Speed=distance÷Time (S=D ÷ T) Follow the steps below to solve. 1.Write the formula: S= D ÷ T 2.Plug in the given information: S= 24miles÷1.5hours 3.Solve: S= 15miles per hour. **For velocity (V) you would just add the direction: V=15miles per hour west

15. Acceleration Acceleration is the rate of change of an abject, or a measurement in the increase of velocity. Can be found using the formula: Acceleration= (final velocity– initial velocity)÷time A = (V f – V i ) ÷ T EXAMPLE: A car is going at a velocity of 10m/s. Then it increases to 15m/s in 5 seconds. What is its acceleration? Follow the three steps below to solve for acceleration: 1.Write out the formula: A = (V f – V i ) ÷ T 2.Plug in the information given: A=(15m/s-10m/s) ÷ 5 3.Solve: A= 1m/s²

16. ATOMS!! Because each particle has its own charge, they usually all cancel each other out. This is where math is very important. If an atom has 5 protons, 6 neutrons and 5 electrons what would the overall charge be? Think of it this way: Neutrons have no charge so don’t affect the charge. The protons and electrons do however. Turn it into an equation. LET x = charge of atom 5-5=x 0=x Atoms are made up of 2 different parts, the nucleus and the electron cloud. In each part there are small particles. Protons and neutrons are found in the nucleus. Electrons are found in the electron cloud. Each particle has its own charge. Neutrons have no charge, protons are positively charged and electrons are negatively charged. 5 Protons 5 Electrons The charge is 0 because the positive and negative particles cancel out. SOLVE

17. Bar Graphs Bar graphs are used to compare differences between objects. This graph is being used to compare the different weights of the bags of fruits. Without mathematics the data on the graph would be harder to compare. On a graph you can visually be able to compare the objects rather than having to take an educated guess. Weight in pounds

18. 1: You are given the equation 4.5x 10³ 2: Because the 10 is to the 3 rd power and is positive you move the decimal in 4.5 three places to the right. Example: 4.500. 3: Your answer is 4,500 after the decimal is moved 3 places. **if the exponent was negative you would move the decimal to the left because that would make the decimal smaller.** Follow these steps: The scientific notation can be used to tell how far away planets are from earth or from other planets.

19. Numeric form to scientific notation You are given the number 260 1. You have to move the decimal in this number so that it is equal to a number greater than 1 and less than 10 2. You should get the number 2.6 by moving the decimal 2 places to the left 3. Your answer is 2.6x10². It is to the second power cause you moved the decimal 2 places and it is a positive number because the number you started with was a whole and natural number. ** If you had started with a decimal than the exponent would have been negative rather than positive. **

20. Works Cited Barry, Joyce Thornton. Painless Biology. Hauppauge, NY: Barron's, 2009. 19-21. Print "What Is Acceleration?" What Is Acceleration. Web. 30 Dec. 2011. http://whatisacceleration.org/http://whatisacceleration.org/ Helmenstine, Anne M. "ScientificNotation." Chemistry - Periodic Table, Chemistry Projects, and Chemistry Homework Help. New York times Company, 2012. Web. 08 Jan. 2012. http://chemistry.about.com/od/convertcalcula te/a/scientificnote.htm http://chemistry.about.com/od/convertcalcula te/a/scientificnote.htm "Physical Science Formulas and Principles Flashcards | Quizlet." Flash Cards, Vocabulary Memorization, and Study Games | Quizlet. Quizlet LLC, 2012. Web. 08 Jan. 2012. http://quizlet.com/1689084/physical-science- formulas-and-principles-flash-cards/http://quizlet.com/1689084/physical-science- formulas-and-principles-flash-cards/