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Transcript
Physics - First Semester Review Name: Score: /130 You can either print this review or do it in your notebook. It is due on the day of the final. Memorize these “Big Ideas” from each of the units. Each is worth 5 points. Recite them to me to receive your points. Unit 0 – Think like a Physicist - Physics is the branch of science concerned with the nature and interactions of matter, energy, forces, and motion throughout the universe. Physical laws can be modeled with equations, allowing us to predict how objects and systems of objects will behave. Unit 1 – Motion – Motion can be understood and predicted using the relationships between position, displacement, velocity, and acceleration that are described by the kinematic equations. Motion in more than one dimension can be described using the vector sum of motion in each dimension. Unit 2 – Forces - Forces are the cause of all changes in motion. Understanding forces allows you to understand how and why things move or don’t move. The net force on an object, which determines how an object will accelerate, is the vector sum of all of the forces acting on the object. Unit 3 – Energy - Energy is the capacity to do work, which means to apply a force over a distance. When objects do work, they transfer energy. Energy can be converted between kinetic (motion) and potential (stored) energy, but the total amount of energy in an enclosed system remains the same. Unit 4 – Momentum – The changes in velocities that occur when objects interact are governed by the law of conservation of momentum. When objects interact, the net momentum (the vector sum of the momenta of all of the objects in the system) doesn’t change. 1. ___________________ is the branch of physics that deals with how objects move in everyday situations, while ____________________ is the branch of physics that deals with how objects behave near the speed of light. 2. How magnetic fields are produced is a question related to which branch of physics? 6. 478,000 picoliters is equal to 0.478 __________________. 7. If a child is 1,000,000.0 minutes old, she is __________________ days old and __________________ milliseconds old. 8. A car traveling at 28 miles per hour is traveling at ____________ m/s. 9. The SI unit for the expression d/v2 would be __________________. A rock falling at 51 m/s is falling at _____________ miles/hr. t/a would have units of _________________. 12. An object starts from rest, then falls. After 5.0 seconds, the object will be falling at __________________ m/s. 13. If a ball is kicked straight up in the air at 15 m/s, it will rise to a height of __________________. How far will this object have fallen? If the ball were thrown upward twice as fast, how high would it rise? 14. A car driving at 28 m/s has its brakes applied, causing it to accelerate at -4.2 m/s2. After 3.0 seconds, it will be travelling at ____________________ m/s. 11. Suppose you walk 2.4 miles to school each day. From Monday morning when you leave for school until Friday afternoon when you get home, your displacement is ___________________ miles and the distance you’ve walked is ___________________ miles. The interaction between protons and neutrons falls into which branch of physics? 3. The base SI units for mass, time, length, and electric current are ___________ , ___________ , ___________ , and ___________. 4. 256 decimeters is equal to ___________________ millimeters and __________________ kilometers. 5. 382 mN is… a) how many newtons? b) how many micronewtons? Would this car hit a deer 73 m away before stopping? 10. Which of these is dimensionally consistent? v = t/a or v = at Thus, which of these could possibly be a valid equation? 15. Rearrange the equation d = 1/2at2 to solve for t. 16. Rearrange the equation vf2 = vi2 + 2ad to solve for vi. 17. Two balls start from rest. If one accelerates twice as fast as the other by rolling down a steeper ramp, how much further will it roll after 1.0 seconds? 18. What pattern do you notice from the previous question? 19. A bird flies across a road in 1.8 seconds. If the road is 7.2 m wide, what is the bird’s average velocity? 20. You drive from the 48 mile marker on I-90 to the 63 mile marker in 13 minutes. What is your average velocity in miles per hour? After 2.0 seconds? After 3.0 seconds? 21. In a velocity vs. time graph, a flat line indicates ____________________. A line approaching zero indicates ____________________. 22. In a position vs. time graph, a diagonal line indicates ____________________. A curved line indicates ____________________. 23. Draw a position vs time graph of a skateboard rolling at a constant speed. 24. Draw a position vs time graph of a running tiger slowing down to a stop. 25. Draw a velocity vs time graph of a person jumping from the moment they leave the ground to the moment they land. 26. What does speeding up look like on a velocity vs time graph? 27. If a velocity vs time graph shows a diagonal line, what does the acceleration vs time graph look like? Describe the velocity and the acceleration of a car with the following position vs time data: Time (s) Pos. (m) 0.0 22.0 1.0 25.0 2.0 28.0 3.0 31.0 28. Velocity: 30. __________________ and __________________ are examples of scalar quantities, while __________________ and __________________ are examples of vectors. 29. Acceleration: 31. If you drive 13 miles north, then 8 miles west, then 3 miles east, your displacement is ___________________ and the angle from where you started to where you ended is ___________________. 32. A hurricane that has moved 480 miles at 36° N of E has moved ___________________ miles north and ___________________ miles east. 33. A car driving at 45m/s goes horizontally off a cliff. If it takes the car 3.2 seconds to hit the ground, it will hit _________________ meters from the side of the cliff and the cliff is ___________________ meters tall. 34. When an object is launched in the air, it’s acceleration downward is ______________ and its acceleration sideways is ______________. 35. A snowboarder goes off a jump. If she leaves the ground at 12 m/s at a 25˚ angle, what is her height at t = 0.62 s? 36. What shape do projectiles make as they move through the air? 37. Why doesn’t an airplane follow the path of a projectile? 38. It will take a force of ___________________ to accelerate a 20.0 kg mass at 5.0 m/s2. 39. A bag weighing 85 N has a mass of ___________________ kilograms. 40. According to this data, what is the force on this 5.0 kg object? Time (s) Vel. (m/s) 0.0 5.0 1.5 11.0 3.0 17.0 . 41. What is the difference between force and net force? 42. What are the four fundamental forces of nature. 43. A 5.0 kg table being pushed with a 35.0 N force to the left and a 20.0 N force to the right will feel a net force of ___________________ and experience an acceleration of ___________________. 44. If you double the mass of an object without changing the net force on it, how does the acceleration change? 45. The mass of a brick that feels 50.0 N of friction as it is pulled across the floor is ___________________ if the coefficient of kinetic friction is 0.38. 46. You pull on a box with a force of 162 N at a 38˚ angle above the ground. If it doesn’t move, what is the force of static friction between the box and the ground? 47. If you pull up on a string holding a 6.0 kg bag with a 92 N force… 48. Two people push on a table. One pushes with a force of 50.0 N at an angle of 30˚ N of W. The other pushes on the table with a force of 100.0 N at an angle of 20.0˚ S of W. What is the net force on the table? (include the direction) 49. Why do you slide further on a vinyl floor in your socks than in your shoes? Reference the coefficient of kinetic friction in your answer? 50. Which of these objects has a greater coefficient of static friction? Mass Force to (kg) move it (N) A 185 943 B 301 2205 What is the net force on the bag? What is the acceleration of the bag? How far will the bag move in 0.25 s? 51. At terminal velocity (the speed at which a falling object doesn’t accelerate any further), the net force on an object is ___________________ because the force of gravity is counteracted by air resistance. 52. Rewrite Newton’s Law of Gravitation to solve for distance. 53. If you triple the mass of an object, what would happen to the force of gravity it exerts? 54. What force exists between the earth and the sun based on this information: Sun mass Earth mass 1.99E30 kg 5.97E24 kg The earth is on average 149.6 million km from the sun. 55. How far apart would you have to place two 10,000.0 kg masses for them to exert a force of 1.00 mN on each other. 56. The ___________________ is the force that is perpendicular to the surface an object is sitting on, ___________________ is the force that is parallel to the surface that an object is sitting on when the object is being pushed or pulled, and the force of ___________________ always pulls downward. 57. When force and displacement are ___________________, the work done is at a positive maximum. When force and displacement are ___________________, the work done is zero. When force and displacement are ___________________, the work done is at a negative maximum. 58. The force of ___________________ friction is always greater for a given object on a given surface than the force of ___________________ friction. 59. If all you know is that it takes 30.0 N to lift a box, can you find the mass of the box? Why or why not? 60. The Joule is the SI unit for _______________. Written in base SI units, it is ___________________. If all you know is that it takes 30 N to drag a box sideways, can you find the mass of the box? Why or why not? 61. From a physics perspective, what is work? 62. If I push on a bus to the west, but it is moving to the north, am I doing any work on the bus? Explain using W = Fdcosθ. 63. How much work does it take to push a box 20.0 m against a 50.0 N force of friction? 64. How work does it take to lift a 30.0 kg box 2.0 m? 65. I lift a bag that weighs 40.0 N 2.0 m, then I carry it 5.0 m down the hall. How much work do I do? 66. Suppose I have to push a car across a parking lot. Explain using W = Fdcosθ why I should push in the same direction that I want the car to move. (This is obvious from an intuitive perspective. I want you to back up your thinking with mathematical reasoning). 67. How much kinetic energy does a 1.5 kg Falcon have that is diving at 60.0 m/s? 68. If the velocity of a train increases from 8.0 m/s to 34 m/s, how much does the kinetic energy increase? 69. Rearrange the kinetic energy equation to solve for velocity. 70. If 72 kg bike rider has 4184 J of Ek, what is her velocity? 71. How many food calories would it take to accelerate a 61 kg runner from 0.0 m/s to 8.0 m/s? 72. If 3500 kg of water were raised 45 m off the ground, how much work would it be able to do if it were to flow down to the ground? 73. Gravitational potential energy depends on what two factors? 74. What mass of rocks could be lifted to a height of 5.0 m with 1000.0 of energy? 75. Mechanical energy is the ___________________ and the ___________________ added together. Suppose your body were to turn food calories into kinetic energy with 36% efficiency. How many calories would it take? Kinetic energy depends on what two factors? 76. A 1.82 pound owl flying at 10.0 m/s at a height of 20.0 m has kinetic energy of ___________________, potential energy of ___________________, and mechanical energy of ___________________. 77. A 35,000 kg airplane flying at 250 m/s at a height of 11,000 m would have how much mechanical energy? 78. If the airplane in the previous question were to lose power and begin falling to earth, how fast would it be going right before hitting the ground? (ignore air resistance) 79. If a 0.60 kg squirrel, starting from rest, accelerates at 18 m/s2 for 0.25 seconds, its kinetic energy will be ___________________. 80. How much power does it take to exert a 32 N force over 5.0 m in 2.5 s? 81. A 360 mW potato battery can do how many joules of work in 15 seconds? 82. Rearrange the power equation to solve for force. 83. How fast would a 6.0 kW motor be able to lift a 200.0 kg pallet of onions? 84. Momentum depends on what two factors? 85. Which would be able to push you back further, a 15 kg dog running at 10.0 m/s or a 25 kg deer running at 4.0 m/s? 86. If you run into someone in the hall and you lose 50.0 kg m/s of momentum, how much momentum does the other person gain? 87. If your mass is 50.0 kg and your velocity is 10.0 m/s, your momentum is ___________________ and your kinetic energy is ___________________. 88. You fire a 700.0 kg cannon, causing it to move backwards at 8.0 m/s. If you know the cannonball it fired has a mass of 10.0 kg, how fast did the cannonball leave the cannon? 89. Impulse is the change in ___________________ of an object, and is also equal to force times ___________________. 90. show that Ft = m∆v is dimensionally consistent. 91. Landing on a soft surface instead of a hard one does less damage to the object because when landing on a soft surface, the ___________________ is lower. 92. Describe the concept of conservation of momentum in your own words. 93. In all collisions, _____________ is conserved. In perfectly elastic collisions, _____________ is also conserved. 94. Landing on a soft surface instead of a hard one does less damage to the object because when landing on a soft surface, the ___________________ is lower. 95. In an elastic collision, it is possible for both objects to come to a stop (think of a head-on car crash). How is it that we can say momentum is conserved? 96. Doubling your velocity and quadrupling your mass will increase your momentum by ___________________ times. 97. When two objects push off each other, their changes in momentum are ___________________ in magnitude and ___________________ in direction. 98. Using Newton’s Third Law of Motion (Interacting objects exert the same force on each other but in opposite directions) and the impulse momentum theorem (Ft = m∆v), prove that momentum (p = mv) is conserved in collisions. 99. What is the momentum of this object: Time (s) Position (m) 3.0 s -12.8 m 3.5 s -10.4 m 4.0 s -8.0 m 4.5 s -5.6 m 100. Two pitchers throw baseballs at each other. If the first pitcher throws the ball at 38 m/s to the right, and the second throws the ball at 45 m/s to the left, what is the velocity of the first pitcher’s ball after they collide in midair the second pitcher’s ball is moving at 38 m/s to the right? Both balls have masses of 0.142 kg 101. Suppose in the previous question, instead of wearing Velcro, you were both wearing bouncy rubber suits. Your velocity after the collision would be ___________________, and the other student’s velocity would be ___________________. 102. A tennis ball (mass: 0.0572 kg) collides with a basketball (mass: 0.675 kg). How fast must the tennis ball have been moving before the collision if after the collision, the tennis ball moves at 29.83 m/s and the basketball moves at 4.43 m/s. The initial velocity of the basketball is 8.4 m/s. 103. Two asteroids collide with each other head on. If the first asteroid has a mass of 83,000 kg and a velocity of 375 m/s and the second asteroid has a mass of 120,000 kg and a velocity of -415 m/s, what are their velocities after the collision? 104. You collide with another student in the hallway and for some reason you were both wearing Velcro suits, so you stick together. If you are 48 kg and you were walking at 2.5 m/s to the east, and the other student was 58 kg and walking at 2.8 m/s to the west, after the collision, the two of you would be moving at ___________________. 105. If a 600.0 kg car traveling west at 20.0 m/s were to collide inelastically with a 1100 kg truck traveling east at 10.0 m/s, what direction would the car/truck be moving afterwards?