Newton's Laws / Particles & Acceleration / Work and Energy Flashcards
1
Q
Newton’s 1st Law
A
A body moves at a constant velocity unless acted upon a resultant force
2
Q
Newton’s 2nd Law
A
- p = mv
- F = dp/dt
- F = ma
3
Q
Newton’s 3rd Law
A
To every action there is an equal and opposite reaction
4
Q
Equation for Static and Kinetic Friction
A
- F <= μN Static
- F = μN Kinetic
- Static > Kinetic Coefficients
- Object will accelerate if resultant force is greater than static friction
5
Q
Gravitational Force Equation
A
F = GMm/r^2
6
Q
Newton’s Shell Theorem
A
- For any particle outside the shell, the shell acts as if its mass is concentrated at the centre of the shell
- For any particle inside the shell, the gravitational force due to the shell cancels out to 0
- Consequence: Solid spheres can be modelled as point particles
7
Q
Centre of Mass Equation (Finite Sized Objects)
A
Σmr / Σm
8
Q
Centre of Mass Equation (Continous Bodies)
A
∫r dm / ∫ dm
9
Q
Equations of Motion - Constant Acceleration
A
- v = u + at
- s = ut + (1/2)at^2
- v^2 = u^2 + 2as
9
Q
Equation of Motion - Time-Dependent Acceleration
A
- ∫ dv = ∫ a(t) dt
- Left limits : v-u
- Right limits : t-0
10
Q
Equation of Motion - Position Dependent Acceleration
A
- ∫ v dv = ∫ a(x) dx
- Left limits : v-u
- Right limits : x-0
11
Q
Equation of Motion - Velocity Dependent Acceleration
A
- ∫ dv / a(v) = ∫ dt
- Left limits : v-u
- Right limits : t-0
12
Q
Kinetic Energy Equation
A
T = (1/2)mv^2
13
Q
Equation for Work Done
A
W = ∫ F · dr = ΔT
14
Q
Conservative Force Field Facts
A
- 0 Work done in a closed loop
- Path taken does not matter
- Only start and end positions matter
- W = -ΔU
- T + U = Total Energy (Constant)
- ΔT = ΔU =0
