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Transcript
This review is not comprehensive ­ it covers most but not all topics. Please see your notes for a comprehensive overview of what will be on the exam
Definitions:
Distance
Displacement
Speed
Velocity
Acceleration
Scalar
Vector
Resultant
Q3 Review
Kinematics:
1. A man travels 10 m North, 10 m East, and 10 m South in 25 seconds. Calculate his speed and velocity.
2. A car is traveling East and slowing down. Acceleration is directed...
Kinematics:
Make sure to list all givens and find hidden givens before choosing an equation
3. A car traveling 20 m/s comes to rest over a distance of 30 m. Calculate its acceleration.
4. A person drops a stone off a 10 m tall building. How much time will it take until the stone reaches the ground?
Motion Graphing:
DVA
5. Calculate the speed at t=1s
Motion Graphing:
DVA
6. Calculate the acceleration at t=7 s
7. Calculate the displacement from 0­4s.
Projectile Motion:
The table:
Givens: (all)
Horizontally Launched
Launched at an angle
Projectile Motion:
8. In a James Bond movie a car drives off a 20 meter tall cliff at 35 m/s. Calculate the total distance traveled by the car before it hits the ground
9. A soccerball is kicked with an initial velocity of 12 m/s at an angle of 20 degrees from the horizontal. Calculate the maximum height reached by the ball.
Projectile Motion:
10. A ball rolls off a table and hits the ground 0.4 seconds later. If the ball landed 0.8 meters from the table, how fast was it rolling when it left the table?
11. A cannon launches with an initial velocity of 120 m/s. a. What angle would you launch to get the greatest range?
b. What would that range be?
Vectors:
12. A 7 Newton force and a 6 Newton force act concurrently on a point. What will their minimum and maximum resultants be? At what angles will those occur?
13. Sketch the resultant for each, using the tip­to­tail method
Vectors:
14. A boat is traveling West at 12 m/s across a river which is flowing North at 5 m/s. (Hint: Draw a picture)
a. What is the magnitude of its its resultant velocity?
b. How much time will it take the boat to cross the 200 m wide river?
c. How far downstream will the boat land from where it launched?
Forces:
Fnet means 2 things:
What does Fg mean?
How do you calculate Fg?
What does FN mean?
FN usually is equal to Fg because
Ff, Fs
What does equilibrium mean?
Describe the motion of an object in equilibrium
Forces:
15. What has more inertia, a 1200 kg elephant moving at 2 m/s, or an 1800 kg car moving at 1 m/s?
16. What is the weight of 2.5 kg of spaghetti?
17. An 850 N skier on waxed skis on snow is traveling at 10 m/s. How much force must he provide to keep moving at that speed?
18. A 1 kg mass is hung from a spring, which extends 0.12 m. Calculate the spring constant of the spring
Forces:
19. A 12 kg mass is hung from a spring with constant 200 N/m. How far does it stretch?
20. A 15 N force West and 20 N force East act on 3 kg object. What is its acceleration?
21. A 50 N force is necessary to push a bicycle with constant velocity. What is the net force on the bicycle?
22. How much force is necessary to start moving a 6 N wood block on a wood table?
23. How much force is necessary for a 2kg steel box on a steel table to move at a constant 3 m/s?
Momentum:
p = Impulse = For collisions/explosions, Momentum:
24. What is the momentum for a 95 kg football player traveling 3 m/s?
285 kg m/s
25. A 1200 kg car has a momentum of 20,000 kg m/s. How fast is it going?
16.7 m/s
26. A soccer player kicks a ball with a force of 200 N for 0.04 seconds. What is the impulse exerted on the ball?
8 Ns
27. A soccer player kicks a 0.4 kg ball from rest to a speed of 23 m/s. What is the impulse exerted on the ball?
9.2 Ns
28. An impulse of 30 Ns is exerted on a 3 kg mass, bringing it to rest. What was its initial momentum?
30 Ns
Momentum:
29. A 400 kg cannon at rest fires a 10 kg cannonball. If the cannon recoils at 2 m/s, how fast does the cannonball travel?
v = 80 m/s
30. A 1400 kg car traveling at 22 m/s collides with an 1800 kg car at rest. After the collision, the cars stick together. What is the velocity of the two cars combined after the collision?
v = 9.6 m/s
Circular Motion: Gravity:
Circular Motion & Gravity:
31. What is the centripetal acceleration of a toy ball on the end of a 1.44 meter long string if it is moving at 12 meters per second?
32. What is the centripetal force acting on a 2000 kilogram airplane if it turns with a radius of 1000 meters while moving at 300 meters per second? 33. Calculate the speed experienced by a rider on a carnival Graviton ride if the ride provides an acceleration of 14 m/s2 at a distance of 4 meters from the center?
7.5 m/s
Circular Motion & Gravity:
34. What is the force of gravity between two 7 kg objects separated by 0.25 m?
35. What is the force of gravity between the sun and the Earth?
36. What is the force of gravity between an electron and a proton separated by 1 nanometer?
1 x 10­49 N
Circular Motion & Gravity:
37. What happens to centripetal acceleration if speed is half as much?
38. What happens to force of gravity if distance is 1/3 as much?
39. The force of gravity between two objects separated by 3 meters is 100 N. What will the force be between the two objects if the separation between them becomes 6 m?
25 N
Work, Power, and Energy:
W
P
KE
PE
PEs
Conservation of Energy
Work, Power, and Energy:40. How much work is done on an object if 35 newtons of force are applied to it as it is moved 10 meters?
350 J
41. What amount of kinetic energy does a 4.0 kilogram object have when moving at 3.0 meters per second?
18 J
42. What amount of power is generated in a system that uses 35 joules of energy in 10 seconds?
3.5 W
43. A force of 3 N is applied to an object, speeding it up. What is its kinetic energy if this force is applied over 12 m?
36 J
Work, Power, and Energy:
44. What is the power output of a motor that applies 75 newtons of force in lifting an object 5.0 meters in 2.5 seconds?
150 W
45. What is the power generated by a person who pulls a rope with a force of 100 newtons, lifting an object with an average speed of 3.5 meters per second?
350 W
46. 12 J of work are used to push a spring 0.04 m. What is the spring constant of the spring?
620 N/m
47. 75 joules of work are done in lifting a 2.5 kilogram object. What change in height will the object experience?
3 m
Work, Power, and Energy:
48. A 2.0 kilogram object at rest at the top of a frictionless 4.0 meter high hill is allowed to slide to the bottom. What speed will the object reach at the bottom of the hill?
49. A 5.0 kilogram object at the top of a 2.0 meter high hill gains 15 joules of kinetic energy as it slides to the bottom of the hill. How much work was done by friction as the object slid down the hill?
50. 500 joules of energy are used in lifting a 10 kilogram object a distance of 3.0 meters. What amount of work is done by friction in this system?
51. A 6.0 newton object is lifted a distance of 10 meters. If 100 joules of work are done by friction during this lift, what is the total amount of energy expended as the object is lifted?
Electrostatics:
Elementary charge
Insulator/Conductor
When objects share charge, only
Fe = E = Electrostatics:
52. What is the charge (in C) of a sodium ion with 11 protons, 12 neutrons, and 10 electrons?
53. What is the charge (in C) of 20 elementary charges?
54. How many excess electrons are in an object with a charge of 6 nC?
55. Could you find an object with a charge of:
a. 3.2 x 10­19 C b. 6.8 x 10­19 C
c. 2.8 x 10­19 C
Electrostatics:
56. Calculate the electrostatic force between an electron and proton separated by 5 nanometers
57. An electron is 10 cm from a charged object and experiences an electric field strength of 3 x 10­18 N/C. What is the electrostatic force on the electron?
58. A neutral fur rubs on a neutral ruler making the ruler negative and the fur positive. How did this happen? What charges moved where?
59. Draw the electric field
Solve in terms of variables
60. An object of mass m has E Joules of potential energy and is dropped from a height of h meters. Calculate the velocity v of the object when it hits the ground
61. A car travels around a circle of radius r with centripetal acceleration ac. Calculate the speed of the car v in terms of variables.
62. A motor with power P watts lifts an F newton weight. Calculate the speed at which the motor can lift the weight, in terms of variables.
This review is not comprehensive ­ it covers most but not all topics. Please see your notes for a comprehensive overview of what will be on the exam