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Monday, February 9, 2015 Physics & Honors Physics E-Effective Communicators Warm Up A 0.5 kg yoyo spins in circles of radius 0.3m. A student provides an.

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1 Monday, February 9, 2015 Physics & Honors Physics E-Effective Communicators Warm Up A 0.5 kg yoyo spins in circles of radius 0.3m. A student provides an unknown amount of centripetal force to make it spin. The student spins the yoyo 10 times in 30 seconds. Find T, v s, and F c Standards: HS-PS2-1 Analyze data to support the claim that Newton’s second Law of motion describes the mathematical relationship among the net force on a macroscopic object, its mass, and its acceleration RST.11-12.4 Meaning of symbols, key terms, technical jargon WHST.11-12.7: research to aid in problem solving Learning Goal: SWBAT predict and identify how the gravitational force works for objects on earth. Agenda 1.Warm Up 2.Review HW#5 3.#42 Centripetal Force Lab Reflection 4.Bill Nye Gravity on Earth: https://www.youtube.com/watch?v=y9kP8t0y2 t4 https://www.youtube.com/watch?v=y9kP8t0y2 t4 Homework G#1 WEEK 23 Notebooks P.7 - Monday P.5 – Tuesday P.4 - Wednesday P.2- Thursday P.1- Friday

2 Monday February 9, 2015 I –Independent Resilient Individuals Warm Up A 0.5 kg yoyo spins in circles of radius 0.3m. A student provides an unknown amount of centripetal force to make it spin. The student spins the yoyo 10 times in 30 seconds. Find T, v s, and F c Standards: HSPS21-Analyze data to support the claim that Newton’s second law of motion describes the mathematical relationship among the net force on a macroscopic object, its mass, and its acceleration. RST.11-12.9 Synthesize information from a range of sources into coherent understanding of a process, phenomenon, or concept,… WHST.11-12.7: research to aid in problem solving Learning Goal: SWBAT find the speed of a ball on a string undergoing centripetal motion Agenda: 1.Warm Up 2.Review HW #5 3.Finish Lab Table - 10 min 4.Lab Reflection Homework C#5 v Period 1

3 Tuesday February 9, 2015 I –Independent Resilient Individuals Warm Up If you spin a 4 kg mass on a string with a radius of 2 m 10 times in 20 seconds, find the period of the motion, the speed of the mass, and the centripetal force acting on it. Standards: HSPS21-Analyze data to support the claim that Newton’s second law of motion describes the mathematical relationship among the net force on a macroscopic object, its mass, and its acceleration. RST.11-12.9 Synthesize information from a range of sources into coherent understanding of a process, phenomenon, or concept,… WHST.11-12.7: research to aid in problem solving Learning Goal: SWBAT find the speed of a ball on a string undergoing centripetal motion Agenda: 1.Warm Up 2.#42 Centripetal Force Lab Reflection 3.Bill Nye Gravity on Earth: https://www.youtube.com/watch?v=y9 kP8t0y2t4 https://www.youtube.com/watch?v=y9 kP8t0y2t4 Homework NA v Period 1

4 Tuesday, February 10, 2015 Physics & Honors Physics E-Effective Communicators Warm Up a. What causes gravity? b. Name everything you can think of that affects the strength of the gravitational force between two objects. Standards: HS-PS2-1 Analyze data to support the claim that Newton’s second Law of motion describes the mathematical relationship among the net force on a macroscopic object, its mass, and its acceleration RST.11-12.4 Meaning of symbols, key terms, technical jargon WHST.11-12.7: research to aid in problem solving Learning Goal: SWBAT understand how gravitational force works on earth and connect it to the workings of gravitational force in the stars Agenda 1.Warm Up 2.Finish Bill Nye Q’s and Discussion 3.Gravitational Force Notes 4.Gravitational Force #43 activity Homework G#1

5 Tuesday, February 10th, 2015 I –Independent Resilient Individuals Warm Up If a 2 kg object spins in a circle 100 times in 12 seconds, what is its period? draw it and solve it. Standards: HS-PS2-1 Analyze data to support the claim that Newton’s second Law of motion describes the mathematical relationship among the net force on a macroscopic object, its mass, and its acceleration RST.11-12.4 Meaning of symbols, key terms, technical jargon WHST.11-12.7: research to aid in problem solving Learning Goal: SWBAT understand how gravitational force works on earth and connect it to the workings of gravitational force in the stars Agenda: 1.Warm Up 2.Centripetal Force Notes 3.Measuring Period Activity #39 4.Create an experimental procedure ot find the centripetal acceleration of an object #40 Homework G#1 PERIOD 1

6 Wednesday February 11th, 2015 I –Independent Resilient Individuals Warm Up A 0.5 kg golf ball and a 30 kg bowling ball are dropped from 1000 feet in the air? What is the magnitude of the gravitational force exerted by the objects on the earth? Will these forces significantly affect the earth’s motion? Standards: HSPS21-Analyze data to support the claim that Newton’s second law of motion describes the mathematical relationship among the net force on a macroscopic object, its mass, and its acceleration. RST.11-12.9 Synthesize information from a range of sources into coherent understanding of a process, phenomenon, or concept,… WHST.11-12.7: research to aid in problem solving Learning Goal: SWBAT find the gravitational force between two objects Agenda: 1.Warm Up 2.#43 Finish Bill Nye Video/Activity 3.#44 Finish Gravitational activity 4.#45 Take Notes, practice finding the gravitational force between two objects with mass Homework G#2,GH#2

7 Wednesday February 11th, 2015 I –Independent Resilient Individuals Warm Up What do you know about gravity? Tell me at least 3 things. What don’t you know about gravity? Tell me one thing. # each thing for credit Standards: HSPS21-Analyze data to support the claim that Newton’s second law of motion describes the mathematical relationship among the net force on a macroscopic object, its mass, and its acceleration. RST.11-12.9 Synthesize information from a range of sources into coherent understanding of a process, phenomenon, or concept,… WHST.11-12.7: research to aid in problem solving Learning Goal: SWBAT understand how gravitational force works on earth and connect it to the workings of gravitational force in the stars Agenda: 1.Warm Up 3.#44 Gravitational Force Notes 4. Homework G#1 PERIOD 1

8 Thursday, February 12th, 2015 E-Effective Communicators Warm Up Find the force of gravity between a 2 & 4 kg mass that are 20 m apart? Is the gravitational force between them strong? Standards: Analyze data to support the claim that Newton’s second law of motion describes the mathematical relationship among the met force on a macroscopic object, its mass, and its acceleration (CENTRIPETAL) RST.11-12.1 cite specific textual evidence… WHST.11-12.7: research to aid in problem solving. Learning Goal: SWBAT understand the timeline for the science fair. Agenda: 1.Warm Up 2.Review Hw #1 3.Work on assignment #45 Homework G#3

9 Thursday, February 12th, 2015 Physics & Honors Physics E-Effective Communicators Warm Up a. What causes gravity? b. Name everything you can think of that affects the strength of the gravitational force between two objects Standards: HS-PS2-1 Analyze data to support the claim that Newton’s second Law of motion describes the mathematical relationship among the net force on a macroscopic object, its mass, and its acceleration RST.11-12.4 Meaning of symbols, key terms, technical jargon WHST.11-12.7: research to aid in problem solving Learning Goal: SWBAT understand the timeline for the science fair. Agenda 1.Warm Up 2.Answer Mousetrap Car Report Questions 3.Review Hw 1 & Gravity #44 4.Watch Bill Nye Intro to Gravity #43 5.Learn about science fair & pick groups. Homework G#1 Period 1

10 Friday, February 13th, 2015 I –Independent Resilient Individuals Warm Up Find the gravitational force between a 2000 kg object and a 10,000 kg object if they are 10 m apart from each other. Standards: HS-PS2-1 Analyze data to support the claim that Newton’s second Law of motion describes the mathematical relationship among the net force on a macroscopic object, its mass, and its acceleration RST.11-12.4 Meaning of symbols, key terms, technical jargon Learning Goal: SWBAT Agenda: 1.Warm Up 2.#46 Acceleration at SG & Everest 3.HW G#4 Homework Mousetrap Car Writeup Redo Due Tuesday G#4 Gravity & Centripetal Motion Tests next week

11 Friday, February 13th, 2015 P-Problem Solvers Warm Up Find Mr. A’s weight on earth and on mars (a mars =3.9 m/s 2 ) if his mass is 65 kg. Standards: HS-PS2-1 Analyze data to support the claim that Newton’s second Law of motion describes the mathematical relationship among the net force on a macroscopic object, its mass, and its acceleration RST.11-12.4 Meaning of symbols, key terms, technical jargon WHST.11-12.7: research to aid in problem solving Learning Goal: SWBAT Agenda: 1.Warm Up 2.Review Hw #1 CW#44 3.Stamp HW 4.#45 Notes 5.Work on assignment #45 Homework G#2 Notebooks Due P.1- Friday Centripetal Motion & Gravity Test Next Week Period 1

12 Symbols, units and equations Sheet Equations: Constant Velocity Constant Acceleration 1. 2. The Two equations of Motion Horizontal Direction The Two equations of Motion Vertical Direction a g =-9.8m/s 2 g=9.8m/s 2 F a on b = -F b on a Forces

13 Lab/Engineering Write Up Rubric Section210 Question/ProblemThe Lab Question/Design Problem is Stated Your question/problem solved does not fit with your experiment Missing Materials and Procedures/Design Process The procedures/Design Process is written step by step in complete sentences and the materials are clearly listed. Procedures/Design Process incomplete or too general or Materials are missing Procedure/Design Process is missing Data CollectionContains a table and a graph that represents the data accurately and is labeled correctly Data table and/or graph is done incorrectly or labeled incorrectly Either data table or graph is missing. CalculationsStudents have all calculations completed, with work shown, and they are correct. At least half of the calculations are done correctly 1 or more calculations are missing and/or less than half are done correctly and/or work is not shown AnalysisThe student gives evidence from their lab data why their hypothesis is true, false, or inconclusive, or why they solved or did not solve their design problems. The lab write up gives no evidence from their lab data to support evaluate their hypothesis The hypothesis/design problem is not evaluated. ConclusionThe conclusion includes a summary of your lab results, which discusses any errors in your experiment or difficulties/limitations of your building process. Sources of error in your experiment or limitations/difficulties in your design process are not discussed. This section is absent or it is discussed only in the analysis section

14 CH#5 Finding Centripetal Force. Use both v=2πr/T and F c =mv 2 /r to solve the following problems. 1.Find the centripetal force of a 1 kg object swinging horizontally with a radius of 1 m and a period of 1s? 2.Find the centripetal force of a 4 kg object swinging horizontally with a radius of 4 m and a period of 0.5s? 3.A 2200 kg car drives on a circular track. If it takes 300s (5 min) to make one lap around the track of radius 2000 m, what is the centripetal Force keeping the car on the track? 4.A wrecking ball on a crane as has mass of 20,000 kg. The crane’s controls malfunction and lock causing the crane and wrecking ball to spin. If the radius of the circle made by the wrecking ball is 500 m, and the period of the spin was 20s, what Centripetal Force must the crane provide so that the wrecking ball will continue spinning and not break and cause chaos in the city? 5.**The centripetal Force caused by a ball swinging on a mass is 200 N. If the mass of the object is 2 kg, and the radius is 20m what is the period of the centripetal motion?

15 C#5 Finding Centripetal Force. Use both v=2πr/T and F c =mv 2 /r to solve the following problems. 1.Find the centripetal force of a 1 kg object swinging horizontally with a radius of 1 m and a period of 1s? 2.Find the centripetal force of a 4 kg object swinging horizontally with a radius of 4 m and a period of 0.5s? 3.A 2200 kg car drives on a circular track. If it takes 300s (5 min) to make one lap around the track of radius 2000 m, what is the centripetal Force keeping the car on the track? 4.A wrecking ball on a crane as has mass of 20,000 kg. The crane’s controls malfunction and lock causing the crane and wrecking ball to spin. If the radius of the circle made by the wrecking ball is 500 m, and the period of the spin was 20s, what Centripetal Force must the crane provide so that the wrecking ball will continue spinning and not break and cause chaos in the city?

16 #41 Centripetal Motion Lab Objective: Find the mass of the object spinning in circles. mbmb mbmb W=mg r binder clip Tria l m ball (kg) m clip (kg) W (total) (N) total time (s) # rev T(s)r str+b all (m) v (m/s) F(N)a (m/s 2 ) 1 2 3 3. Graph F vs. r (the right 2 columns), find the best fit line, the slope, and the equation of the line. 4. slope = mass of ball so we will compare the mass of the ball measured with the triple beam balance with the slope of our line. F(N) a (m/s 2 ) 1. Fill in the table below. Setup will be done together. Mass of bronze weight:_______kg

17 #41 Centripetal Motion Lab Objective: Find the mass of the object spinning in circles. momo momo bronze weight r binder clip Trialm obj (kg) m clip (kg) m bron ze weight (kg) W=F c (N) total time (s) # revT(s)r str+ba ll (m) v (m/s) a c (m/s 2 ) 1 2 3 3. Graph F c vs. a c, find the best fit line, the slope, and the equation of the line. 4. slope = mass of ball so, measure the mass of the ball with a triple beam balance and then compare it using the following % error equation. F c (N) a c (m/s 2 ) Theory: In this experimental setup gravity is responsible for the circular motion of the mass. Therefore if we change the gravitational force that the mass experiences, but keep the radius constant we will change the centripetal acceleration of the object. We can ultimately use this data to find the mass of the object.

18 Centripetal Motion Lab Discussion & Reflection #42 1.What difficulties did you encounter in the lab? 2. What aspects of the lab seemed to be the most inaccurate? 3. Why did you use a straw in this lab instead of just holding the string and swinging it? 4. How would clamping your fingers over the straw and string affect your data? 5. Explain the process you used to find the period of the centripetal motion. 6. If you increased the radius of your circle, what happened to the centripetal Force? 7. What does v 2 /r mean? How do you know? 8.F c =mv 2 /r is a variation of which important equation we already learned. Why did we do this lab?

19 #44 Newton’s Universal Law of Gravitation This is an extension of Newton’s 3rd Law: For every action there is an equal and opposite reaction. Gravity is the force of attraction between objects with mass. Gravity is always pushing us (or exerting Force on us) towards the center of the earth We are also exerting an equal and opposite Force on the earth. Earth F person F earth

20 Newton’s Law of Universal Gravitation #44 2kg 4kg 2kg 4kg 1. 2. 3. 4. a.Do you think a larger mass will make the gravitational force weaker or stronger? b.Do you think a greater distance between the objects will make the gravitational force weaker or stronger? Ultimately predict which single factor has a greater impact on the gravitational force, the mass of an object or the distance between the objects? c.Rank gravitational force of 1-4, highest to lowest

21 #45 Newton’s Universal Law of Gravitation Specifically this law says: F=Gm 1 m 2 ---------- r 2 Where G is the gravitational constant 6.67x10 -11 Nm 2 /kg 2 m 1 and m 2 are any two objects with a mass. r is the distance between the center of the two objects How would you find out whether or not you use F g =W=mg or F g =Gm 1 m 2 /r 2 r m1m1 m2m2

22 #45 Practice 1. 2. 3. 4. 1m 3m 1m 3m Find the Gravitational Force of Each. Rank them in order from largest to smallest. 2kg 4kg 2kg

23 Gravitational Force # G1 1.What if any, is the difference between weight and Gravitational Force? 2.An apple falls from a tree. If the gravitational Force on the apple is 10N, how much force is the apple pushing the earth with? 3.A 65 kg skydiver is in freefall. What is the Gravitational Force that the earth is putting on the skydiver? What is the direction of this Force. 4.From problem 3. What is the gravitational Force that the skydiver is putting on the earth? What direction is this Force? 5.With how much Force will Gravity attract a 2000 kg object? 6.How much would a 90 kg person weigh on Mars? (a g =3.9m/s 2 ) 7.From Problem 6. What is the Gravitational Force between the person and the planet?

24 Newton’s Law of Gravitation Practice HG#2 Use this equation for the following problems: F=(Gm 1 m 2 )/r 2 G=6.67x10 -11 Nm 2 /kg 2 2. Find F g. m 1= 4x10 4 kg m 2 =8x10 6 kg r=4x10 4 m 1. Find F g. M 1= 2kg M 2 =7kg R=500m 3. Find F g. M 1= 5x10 24 kg M 2 =9x10 18 kg R=3x10 5 m 5. A 6kg object and a 20 kg object are separated by 50 m. What is the gravitational Force between the two masses? 6. From problem 5, how fast will the 6kg object accelerate towards the 20 kg object? 4. Find R. M 1= 5x10 5 kg M 2 =4x10 10 kg F g = 4x10 3 N

25 Newton’s Law of Gravitation Practice G#2 Use this equation for the following problems: F=(Gm 1 m 2 )/r 2 G=6.67x10 -11 Nm 2 /kg 2 b. Find F g. m 1= 4x10 4 kg m 2 =8x10 6 kg r=4x10 4 m a. Find F g. M 1= 2kg M 2 =7kg R=500m c. Find F g. M 1= 5x10 24 kg M 2 =9x10 18 kg R=3x10 5 m 1. A 6kg object and a 20 kg object are separated by 50 m. What is the gravitational Force between the two masses?

26 Gravitational Force Practice G#3 1.What is the force of attraction (gravitational force) between two people if one person is 85 kg and the other is 72 kg and the two people are 2 m away from each other? 2.If one person (70kg) is in Los Angeles and another(70kg) is in Bejing 1x10 7 m away, what is the force of attraction between the two people? 3.Find the force of gravity exerted on a 55 kg (121 lb) person lying 0.1 meters below a 200,000kg (90,000 lbs) train. 4.If an astronaut landed on the surface of Mars, what would the Force of Gravity be on a person with a mass of 75kg (165lbs) if Mars has a mass of 6.42x10 23 kg and a radius of 3.37x10 6 m?

27 Gravity & Circular Motion From learning about Gravity, we know: 1.Objects in space with a large enough speed will orbit the earth or other large objects at a constant speed. 2.As long as nothing causes the object to lose speed it will orbit the earth forever. 3.The object stays at the same distance from the earth throughout the circular orbit. From learning about Centripetal Motion, we know: 1.The speed of the object will always be perpendicular to the direction of the force of gravity. 2.When Gravity makes objects orbit other objects in a circle, gravity is acting as a Centripetal Force.

28 #43 Bill Nye Video Questions 1.What does gravity do? Give 3 examples 2.Who was the first scientist to experiment with falling objects? 3.What did this scientist discover? 4.What will happen to a feather and hammer if you dropped it on earth? What happened on the moon? 5.Challenge: How can gravity be responsible for making things fall to the ground and for making planets orbit around the sun? Give an explanation.

29 #46 Gravitational Force & Acceleration in South Gate Now that we understand what gravitational force is and how to calculate it, we are going to extend our new knowledge to find the exact acceleration due to gravity in South Gate and we’ll compare it to Mount Everest. Theory: Gravity is supposed to be weaker in South Gate than Mt. Everest because of Mt. Everest’s higher elevation. Does it really make much difference though? - We know how to calculate the force of gravity between 2 objects, for example Mr. A and the Earth. - What can we do with that force find out the value what we consider gravity, g= 9.8m/s 2 ? - Hopefully you’re thinking F net =ma. If we put the gravitational force into this equation in place of F net, then the a will be acceleration due to gravity, or g. southgate m earth Instructions: a.Create a data table with m mr., m earth, r sg, r ev F sg, F ev, a sg, a ev b. Look up the mass and radius of the earth online or in one of the textbooks. c.Look up the elevation (height) above sea level for South Gate and Mt. Everest. d.Find the distance between the center of the earth & the center of Mr. A (height 1.92m, mass 65kg) if he were in South Gate or Mt. Everest. e.Calculate the Force of gravity in South Gate & Everest f.Calculate the Acceleration due to gravity in South Gate and Everest. everest r sg r ev m mr.a (Don’t Forget to convert km ->m)

30 GH#4 Gravitational Force & Acceleration a.- m e =5.97x10 24 kg - m person =72 kg - r=6.371x10 6 m - F g =? - a g =? b. - m e =5.97x10 24 kg - m car =1000 kg - r=6.371x10 6 m - F g =? - a g =? use F=Gm 1 m 2 /r 2 & F net =ma to solve the problems below along with G=6.67x10 -11 Nm 2 /kg 2 c. - m e =5.97x10 24 kg - m insect = 0.001 kg - r=6.371x10 6 m - F g =? - a g =? 1.After calculating F g and a g for a,b, & c, what pattern did you notice? 2.What variable in a,b, & c did not affect the how fast the object would accelerate if it was falling to the ground? 3.The class takes a trip to Griffith park. At Griffith Park’s highest point it is 495.3 m. The mass and radius of the earth are 5.97x10 24 kg and 6.371x10 6 m. What is the acceleration due to gravity if an object of any mass is placed at that point? (Remember your answer from #2, knowing that will help you solve this)

31 G#4 Gravitational Force & Acceleration a.- m e =5.97x10 24 kg - m person =72 kg - r=6.371x10 6 m - F g =? - a g =? b. - m e =5.97x10 24 kg - m car =1000 kg - r=6.371x10 6 m - F g =? - a g =? use F=Gm 1 m 2 /r 2 & F net =ma to solve the problems below along with G=6.67x10 -11 Nm 2 /kg 2 c. - m e =5.97x10 24 kg - m insect = 0.001 kg - r=6.371x10 6 m - F g =? - a g =? 1.After calculating F g and a g for a,b, & c, what pattern did you notice? 2.What variable in a,b, & c did not affect the how fast the object would accelerate if it was falling to the ground? 3.The class takes a trip to Griffith park. At Griffith Park’s highest point it is 495.3 m. The mass and radius of the earth are 5.97x10 24 kg and 6.371x10 6 m. What is the acceleration due to gravity if you place an object a. of 1kg mass at that point? b. of 100 kg mass at that point? c. of your mass of at that point?


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