PHYS101 - Formula Sheet
Fundamental Constants
Position
Speed of Light in Vacuum (c) | c = 299 792 458 m s⁻¹ (exact)
Gravitational Constant (G) | G ≈ 6.674 × 10⁻¹¹ N m² kg⁻²
Planck Constant (h) | h = 6.626 070 15 × 10⁻³⁴ J s (exact)
Displacement
Avg. Velocity
Elementary Charge (e) | e = 1.602 176 634 × 10⁻¹⁹ C (exact)
Electron Mass (mₑ) | mₑ ≈ 9.109 × 10⁻³¹ kg
Velocity
SProton Mass (mₚ) | mₚ ≈ 1.673 × 10⁻²⁷ kg
Boltzmann Constant (k) | k = 1.380 649 × 10⁻²³ J K⁻¹ (exact)
Avg. Acceleration
Permittivity of Free Space (ε₀) | ε₀ ≈ 8.854 × 10⁻¹² F m⁻¹
Permeability of Free Space (μ₀) | μ₀ = 4π × 10⁻⁷ H m⁻¹
Ins. Acceleration
Gravitational acceleration = 9.8 m/s²
Ins. Acceleration
CHAPTER 2: Motion Along a Straight Line
x-direction:
Displacement |
Average Velocity |
Average Speed |
y-direction:
Inst. Velocity |
Av. Acceleration |
Inst. Acceleration |
CHAPTER 4: Dynamics: Newton’s Laws of Motion
Three equations of motion with constant acceleration:
Newton’s second law |
Weight |
Newton’s third law |
CHAPTER 3: Kinematics in Two or Three
Dimensions; Vectors
Components of a Vector
Adding Vectors in Component Form
CHAPTER 5: Using Newton’s Laws: Friction,
Circular Motion
Static friction |
Kinetic friction |
Centripetal acceleration |
Centripetal force |
CHAPTER 7: Work and Energy
Rotation equations:
Scalar Product :
Component form:
Kinetic energy :
Linear/angular relations:
Work :
Work-energy theorem:
Spring force:
Spring work:
CHAPTER 8: Conservation of Energy
Period :
Rotational KE :
Inertia :
Parallel axis:
Torque :
Gravitational potential energy :
Newton (angular) :
Elastic potential energy :
Work :
Mechanical energy :
Power :
Conservation :
Work-energy (rot) :
Rolling:
Work by external force :
Total KE :
Avg. power :
Inst. power :
CHAPTER 8: Angular Momentum; General Rotation
Angular momentum |
CHAPTER 9: Linear Momentum
Linear momentum :
Newton’s 2nd law :
Impulse :
Newton’s 2nd (angular) |
Total angular momentum |
Conservation |
Vector cross product |
Impulse-momentum theorem :
Conservation :
CHAPTER 10: Rotation
Torque as vector |
Angular momentum of a particle |
Angular :
Roots of a quadratic equation |
Avg angular velocity :
Instant angular velocity :
Avg angular accel :
Instant angular accel :
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