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PHYSICS REVIEW SHEET 2010 MID-TERM EXAM Concepts And Definitions Definitions of fact, hypothesis, law, theory Explain the scientific method Difference between average and instantaneous speed and speed and velocity Describe Acceleration and Free Fall Distinguish between scalars and vectors Add and resolve vectors into their components Predict impact distances, horizontal and vertical velocities for all projectiles Desiree circular motion and the resultant forces associated with it Explain and apply Newton's three laws Distinguish between weight and mass Calculate and explain the effects of friction Describe air resistance and terminal velocity Use the impulse equation to explain real-life situations Describe and calculate problems using the Law of Conservation of Momentum Relate work, potential energy and kinetic energy to one another Apply the Law of Conservation of Energy Calculate the efficiency of a machine Explain how torque and center of mass affect rotation Explain the Law of Universal Gravity Evaluate the contributions of Galileo and Kepler to the study of Mechanics Sample Problems 1. You want to complete a 500 mile trip in 10 hours. Yet, because of the ever-present construction zones, you only average 40 mph for the first two hours. You then need to stop for lunch, which kills another 1/2 hour. How fast must you drive (on average) to complete the trip on time? DATA EQUATIONS MATH ANSWER 2. If an airplane can go from its top speed of 48 m/s to a taxi speed of 5.5 m/s in 8.37 seconds, how long a runway does it need? DATA EQUATIONS MATH ANSWER 3. How fast is a rock moving as it strikes the pavement if it is dropped from the top of a building that is 223 meters tall? DATA EQUATIONS MATH ANSWER Distance v Time 60 Distance (in m) 50 40 30 20 10 0 0 10 20 Tim e (in m in ) 4. When is the car stopped? __________ 5. When is the car speeding up? __________ 6. When is the car slowing down? __________ 7. When is the car traveling at its fastest constant speed? __________ 8. How far did the car travel in the first 15 minutes? __________ 9. How fast is the car traveling at t = 15 minutes? __________ 10. When is the car furthest from the observer? __________ 11. When does the car pass the observer? __________ 12. How far is the car from the observer at t = 40 minutes? __________ 13. How fast is the car traveling at t = 30 minutes? __________ 30 40 Velocity vs Time 20 18 Velocity (in m/s) 16 14 12 10 8 6 4 2 0 0 10 20 30 40 50 60 Tim e (in seconds) 14. When is the car not moving? __________ 15. When is the car moving at its fastest speed? __________ 16. How fast is the car traveling at t = 10 seconds? __________ 17. How far does the car travel in the first ten seconds? __________ 18. When is the car speeding up? __________ 19. When is the car slowing down? __________ 20. When is the car gaining speed at the highest rate? __________ 21. What is the acceleration of the car at t = 56 seconds? __________ 22. What is the acceleration of the car at t = 20 seconds? __________ 23. What is the acceleration of the car at t = 32 seconds? __________ 24. How far does the car travel in the first minute? __________ 25. A motorboat heads due east at 12.0 m/s across a river that flows towards the south with a current of 3.50 m/s. A. What is the resultant velocity of the boat? DIAGRAM MATH ANSWER B. If the river is 1360 m wide, how long does it take the boat to cross? DATA EQUATIONS MATH ANSWER C. How far downstream is the boat when it reaches the other side? DATA EQUATIONS MATH ANSWER 26. A boy and a girl both swim at 3.0 m/s. They jump into a river 1.0 km across, with a current of 2.0 m/s to the east.. A. The boy faces due north at all times. What is his resultant velocity? DIAGRAM MATH ANSWER B. The girl swims so that she ends up directly across the river. What is her resultant speed? DIAGRAM MATH ANSWER C. In what direction should she head? DIAGRAM MATH ANSWER D. How many minutes does it take each to cross the river? DIAGRAM MATH ANSWER 27. A cannon is shot horizontally at a speed of 150 m/s off of a cliff 45 meters high. How far away from the base of the cliff will the cannonball land? DATA EQUATIONS MATH ANSWER 28. If a shell is fired from a cannon with a velocity of 20 m/s at an angle of 30 °, how far will the shell travel away from the cannon? DIAGRAM MATH ANSWER 29. What is the acceleration of a 820 kg car that is being pushed by a truck with a force of 7,000N if the between the tires and the road is 0.87? DATA EQUATIONS MATH ANSWER 30. What is the force of friction acting on a 140 kg box sliding at 2.5 m/s down a 15° ramp if the between the box and the ramp is 0.83? DIAGRAM MATH ANSWER 31. What is the tension in the chain used to hold a 225 kg sign up and to a wall if the chain makes a 25° angle up from horizontal? DIAGRAM MATH ANSWER 32. What force is required to cause a 25 kg sled, moving at 20 m/s to be slowed to 3 m/s in 1.5 seconds? DATA EQUATIONS MATH ANSWER 33. A 65 kg ice skater traveling east at 6.0 m/s runs head-on into an 85 kg skater traveling straight west at 4.5 m/s. At what speed and in what direction do the ice skaters travel if they move together after the collision? DATA EQUATIONS MATH ANSWER 34. A 40 kg projectile leaves a 2000 kg launcher with a speed of 400 m/s. Calculate the recoil velocity of the launcher. DATA EQUATIONS MATH ANSWER 35. A 4.0 kg object traveling westward at 25 m/s hits a 15 kg object at rest. The 4.0 kg object bounces eastward at 8.0 m/s. What is the velocity of the 15 kg object? DATA EQUATIONS MATH ANSWER 36. A bulldozer pushed a large rock with a force of 5000 N over a 20.0 m distance in 40 seconds. How much power does the bulldozer generate? DATA EQUATIONS MATH ANSWER 37. A 4 kg mass is raised to a height and now has a potential energy of 784 J. To what height was it lifted? DATA EQUATIONS MATH ANSWER 38. A car whose mass is 1500 kg has a Kinetic Energy of 168,750 J. What is its speed? DATA EQUATIONS MATH ANSWER 39. How much poweris generated by a 75 kg boy who can run up 20 stairs (each 10.3 cm tall) in 5.25 seconds? DATA EQUATIONS MATH ANSWER