Mechanics Review
1. What is the difference in function between a law, a theory and a hypothesis in science?
2. What are the 7 fundamental SI units and what quantities do they measure?
3. Give three examples of SI derived units.
4. Convert 100 km/h to meters per second.
5. Write definitions for distance, displacement, speed, velocity, acceleration. What are their SI units?
6. What is the primary restriction on the use of the three equations of linear motion?
7. What are the steps required to resolve a vector into components along a convenient set of
perpendicular axes?
8. What is the mathematical relationship between the resultant and the equilibrant of a system of
forces?
9. What are the names of the four fundamental forces that comprise all known forces?
10. State Newton’s three Laws of motion.
11. State Newton’s Law of Universal Gravitation.
12. What is the difference between weight and mass? What are their SI units?
13. List the four dimensions that are always conserved in any physical interaction
14. What is the definition of the radian?
15. What is the primary restriction on the use of the three equations of circular motion?
16. What are the SI units of angular velocity and angular acceleration?
17. What is centripetal acceleration? What is its SI unit?
18. If an object is moving with uniform circular motion, which part of its velocity vector is changing?
19. What is torque? What is its SI unit?
20. Do the moons of Jupiter have the same Kepler’s constant as the moons of Saturn?
21. What are the properties of ideal strings?
22. What forces are included in the free body diagram of an object?
23. What forces are not included in the free body diagram of an object?
24. What are the characteristics of an ideal pulley?
25. What is the magnitude and direction of the normal force that acts on an object which is resting on a
horizontal surface?
26. What is the magnitude and direction of the normal force that acts on an object which is resting on
an inclined surface?
27. What is the magnitude and direction of the kinetic frictional force?
28. What is the magnitude and direction of the static frictional force?
29. When is work positive? When is it negative?
30. What is the mathematical relationship between work and power?
31. What is kinetic energy?
32. What is potential energy?
33. In what form do conservative forces store work energy?
34. Give three examples of conservative forces.
35. Give three examples of non-conservative forces.
36. What are the two equations for calculating gravitational potential energy? When is it appropriate to
use each one?
37. What is elastic potential energy?
38. What is the principle of conservation of mechanical energy? When does it apply?
39. What are the properties of ideal springs? How do real springs differ from the ideal?
40. What are machines in physics?
41. What is mechanical advantage?
42. Define the three classes of levers? What kind of job is each best suited to?
43. What simplifying assumption is made in the derivation of equations of ideal mechanical advantage?
44. What is the IMA of a single fixed pulley? What is the IMA of a single moveable pulley?
45. How can one determine the IMA of a block and tackle system?
46. Does the principle of conservation of linear momentum apply to its scalar sum or its vector sum?
48. List the three modes of collisions and state which quantities are conserved in each.
49. Describe the restoring force in simple harmonic motion.
50. Under what circumstances does the motion of an ideal pendulum approximate simple harmonic
motion?
51. The following list of equations will be attached to your final exam. Give the names of all the variables
and their SI units.
Linear Motion
Kepler’s Law
Power
𝒗𝟐 = 𝒗𝟏 + 𝒂∆𝒕
𝑅3
𝑇2
P= ∆𝑡
∆𝑊
=𝐾
𝟏
𝒅 = 𝒗𝟏 ∆𝒕 + 𝟐 𝒂∆𝒕𝟐
𝒅=
𝒗𝟐𝟐 −𝒗𝟐𝟏
𝟐𝒂
Newton’s Laws
P=Fvcosθ
∑ 𝐹 = 𝑚𝑎
Mechanical Advantage
𝛥𝑝
𝛥𝑡
Circular Motion
∑𝐹 =
𝜃 = 𝑑/𝑟
I=∑ 𝐹𝛥𝑡
𝐹
𝑑
IMA= 𝐹𝑜𝑢𝑡=𝑑 𝑖𝑛
𝑖𝑛
𝑜𝑢𝑡
𝐹
AMA=𝐹𝑟
𝑒
𝜔=
∝=
∆𝜃
∆𝑡
𝐹
𝑎→𝑏
∆𝜔
∆𝑡
F=
= −𝐹
𝑏→𝑎
𝐺𝑚1 𝑚2
𝑟2
𝐴𝑀𝐴
Ƞ= 𝐼𝑀𝐴 x100%
Momentum
𝜏 = 𝑟𝐹𝑠𝑖𝑛𝜃
G=6.674x10−11 N𝑚2 /𝑘𝑔2
p=mv
𝜔2 =𝜔1 +𝛼∆𝑡
g=9.81 m/𝑠 2
𝑝𝑡𝑜𝑡𝑎𝑙,𝑏𝑓𝑟 = 𝑝𝑡𝑜𝑡𝑎𝑙,𝑎𝑓𝑡
∆𝜃 = 𝜔1 ∆𝑡 + 𝛼∆𝑡 2
Hooke’s Law
L=m𝑟 2 ω
∆𝜃 = (𝜔22 − 𝜔12 )/(2𝛼)
𝐹 = −𝑘𝑑
Waves
1
2
Energy
𝑣 = 𝑟𝜔
𝑎𝑐 =
𝑣2
𝑟
= 𝜔2 𝑟
f=1/T
W=FdcosƟ
1
𝐹𝑐 = 𝑚𝑎𝑐
𝑎𝑇 = 𝑟𝛼
Friction
𝐹𝑘 = 𝜇𝑘 𝑁
𝐹𝑠 ≤ 𝜇𝑠 𝑁
𝑚
T=2𝜋√ 𝑘
K=2 𝑚𝑣 2
𝑙
𝑈𝑔 = |𝑚𝑔|ℎ
𝑈𝑔𝑟 =
−𝐺𝑀𝑚
𝑟
2𝐺𝑀
𝑅
𝑣=√
1
𝑈𝑠 =2 𝑘𝑑2
T=2π√|𝑔|
v=fλ