Integrated Science Semester 1 Final Study Guide Key Symbols, Equations, and Units Know how to solve problems with these equations and memorize the units that correspond to each concept. On the exam you will be given an equation bank but not the units or definitions of the symbols. Concept Distance (d) Time (t) Mass (m) Velocity (v) (average speed) Acceleration (a) Velocity (v) (free fall) Distance (d) (free fall) Time (t) (free fall) Force (F) Work (W) Potential Energy (PE) Kinetic Energy (KE) Efficiency (Eff.) Equation measured measured measured v = d t a = ∆v t v = gt d = ½ g t2 t = (2d/g) F = ma W = Fd PE = mgh KE = ½ m v2 Eff. = KE PE Unit meter (m) second (s) kilogram (kg) meters per second (m/s) Other things to know g = 9.8 (10) m/s2 g is the acceleration of gravity on Earth. Memorize. meters per second squared (m/s2) meters per second (m/s) meter (m) second (s) Newton (N) Joule (J) Joule (J) Joule (J) percent (%) 1609 meters = 1 mile This will be given, but you need to know how to use it correctly. 1 hour = 3600 seconds This will be given, but you need to know how to use it correctly. Concepts and Standards to Understand Unit 1a – Velocity, Acceleration, and Free Fall Standards: 6. Physics 1- Newton’s laws predict the motion of most objects. a. Physics 1a- Students know how to solve problems that involve constant speed and average speed. b. Physics 1b- 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). c. Physics 1c- Students know how to apply the law F = ma to solve one-dimensional motion problems that involve constant forces (Newton’s second law). d. Physics 1d- Students know that when one object exerts a force on a second object, the second object always exerts a force of equal magnitude and in the opposite direction (Newton’s third law). e. Physics 1e- Students know the relationship between the universal law of gravitation and the effect of gravity on an object at the surface of the Earth. Understand and be able to define Newton’s Three Laws of motion and describe situations that concern each: An object in motion/rest stays in motion/rest unless acted on by an unbalanced force. The force acting on an object is equal to the object’s mass times its acceleration. For every action, there is an equal and opposite reaction. Know how to solve free fall problems for velocity, distance and time (when distance is given). Know how to solve simple linear average velocity (speed) and acceleration problems, like we did for our mousetrap cars. Know how to convert miles-per-hour (mph) into meters-per-second (m/s). Know how to plot velocity-vs-time graphs and answer questions about acceleration. Unit 1b – Force, Work, Energy, and Efficiency Standards: 1. Earth Science 1- Astronomy and planetary exploration reveal the solar system’s structure, scale, and change over time. a. Earth Science 1a- Students know how the differences and similarities among the sun, the terrestrial planets, and the gas planets may have been established during the formation of the solar system. b. Earth Science 1g*- Students know the evidence for the existence of planets orbiting other stars. 2. Physics 2a - Students know how to calculate kinetic energy by using the formula E = (1/2)mv2 3. Physics 2b- Students know how to calculate changes in gravitational potential energy near Earth by using the formula (change in potential energy) = mgh (h is the change in the elevation). Be able to answer general questions about the solar system planets including: relative (not actual) sizes and distances from the sun, distinguishing characteristics (rings, spots, ice caps), major moons, location of the asteroid belt and Kuiper belt, etc. Know how these terms are relevant to the Pluto debate: Clyde Tombaugh, Lowell Observatory, International Astronomical Union (IAU), “cleared the neighborhood of it’s orbit”, planet, dwarf planet, Eris, Charon, Hydra, Nix. Reread the Pluto articles if you have them. Know the difference between force and work, their different units, and how to solve for them using equations. Understand what potential and kinetic energy are and how to solve for them using equations. Know how to identify Newton’s Third Law Action/Reaction Pairs. Know how to draw vector diagrams and solve for the resultant using the Pythagorean Theorem. Know how to calculate the efficiency of a system using the kinetic and potential energies. Know how to incorporate F=ma into Newton’s third law by using the equation m1a1 = m2a2 to solve for mass or acceleration. Unit 2 – Matter, Atoms, and the Periodic Table Know all the stuff on the study guide that I just gave you. Know how to find the standard electron configuration and Noble gas configuration for any atom. Practice Problems Try doing each of these problems. Use an extra piece of paper if you need more room. The free-response problems on the final will be just like some of the ones you see here. Try to do every problem. You will receive the answers on Monday/Tuesday so you can check your work, so bring your answers to school then. 1. Mr. Rea drove from Portland, Oregon to Oakland in 10 hours. The trip is 634 miles. What was Mr. Rea’s average speed (show units)? 2. Convert your answer in #3 to units of meters per second. ________________ _________________ __________________ = 3. A car that you’re driving goes flying off of a cliff. Assuming no wind resistance, how far do you fall after the first 2 seconds? After the first 4.5 seconds? 4. The deepest canyon on earth is in Peru. The bottom of the canyon is 3354m below the canyon rim. a) If you dropped a stone from the rim, how many seconds would it take to hit the bottom, assuming the stone never bounced? b) What would the stone’s final velocity be when it hits the bottom? 5. A car moves with a smooth, constant acceleration from 0 to 80 m/s in 8 seconds. Graph its acceleration on the velocity vs. time graph below and answer the following questions. a) How fast was the car moving after 1 second?__________ 3 seconds?__________ b) What was the acceleration of the car? _________________m/s2 c) If it kept accelerating, what would the speed be at 10 seconds?_____________? 6. What would be the force you would need to apply to give a 2 kg toy car an acceleration of 0.5 m/s 2? 7. How much work is done when you push a 70 N bookshelf a distance of 8 meters? 8. What is the potential energy of a piano with a mass of 180 kg when it is lifted 20 m into the air? 9. If the rope holding the piano from example #8 breaks and the piano falls, what is the kinetic energy if the piano has a velocity of 18 m/s right before hitting the ground? 10. Some energy was lost from the piano in #9 due to friction with the air. What was the efficiency of the falling piano? Use the answers from #8 and #9. 11. A 3 kg cannonball leaves the barrel of a cannon with an acceleration of 50 m/s 2. If the cannon has a mass of 700 kg, what is its acceleration in the opposite direction? Hint: Use the equation m1a1 = m2a2 12. A large sailboat motors to the north with a speed of 12 m/s while a wind blowing due west fills its sails at 5 m/s. What is the resultant velocity and direction? Hint: Use the Pythagorean theorem: c2 = a2 + b2 where “c” is the resultant. Draw a picture Equation Answer: Do the math: ________________ Speed Units ________________ Direction 13. Electron Configuration Practice Write the standard and noble gas configurations. Element Standard Electron Configuration Noble Gas Electron Configuration Na Sodium 1s22s22p63s1 [Ne]3s1 Fe Iron 1s22s22p63s23p64s23d6 Ar Argon P Phosporus Ni Nickle Sn Tin Ti Titanium F Fluorine [Ar]4s23d6