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phys: switch to concise vector labelling, fix formatting errors

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eggy 2020-10-20 18:34:04 -04:00
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docs/sph3u7.md
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@ -324,7 +324,7 @@ Therefore the horizontal velocity of a projectile ($v_x$) is constant and is equ
A force is a "push" or "pull" exerted by one object acting on another object and is always represented in the form of a vector. The SI unit for force is the newton ($\text{N}$), equivalent to $\text{kg} \cdot \text{m} \cdot \text{s}^{-2}$. A force is a "push" or "pull" exerted by one object acting on another object and is always represented in the form of a vector. The SI unit for force is the newton ($\text{N}$), equivalent to $\text{kg} \cdot \text{m} \cdot \text{s}^{-2}$.
Forces do not cause motion but instead cause *changes* in motion; therefore a constant force on an object results in uniformly acceleration motion**. Forces do not cause motion but instead cause *changes* in motion; therefore a constant force on an object results in **uniformly accelerated motion**.
A force must have: A force must have:
@ -352,7 +352,7 @@ Contact (the two objects are touching) forces:
Non-contact forces: Non-contact forces:
- **Weight** ($\vec{W}$) is the attraction between a mass and a planet. Its vector always points toward the planet. The magnitude of weight is equal to the mass of the object times the acceleration due to gravity ($mg#). - **Weight** ($\vec{W}$) is the attraction between a mass and a planet. Its vector always points toward the planet. The magnitude of weight is equal to the mass of the object times the acceleration due to gravity ($mg$).
- **Electromagnetic forces** ($\vec{F_M}$ and $\vec{F_E}$) are not covered in this course. - **Electromagnetic forces** ($\vec{F_M}$ and $\vec{F_E}$) are not covered in this course.
The origin and target of a force are placed in the subscript of that force. The origin and target of a force are placed in the subscript of that force.
@ -360,10 +360,10 @@ The origin and target of a force are placed in the subscript of that force.
!!! example !!! example
If a rock is pushed across the ground by a hand at a constant velocity, the forces acting on the rock would include: If a rock is pushed across the ground by a hand at a constant velocity, the forces acting on the rock would include:
- the normal force from the hand, or $F_{T \text{ h-R}}$ - the normal force from the hand, or $F_{T \text{ hR}}$
- the kinetic friction from the ground, or $F_{fK \text{ g-R}}$ - the kinetic friction from the ground, or $F_{fK \text{ gR}}$
- the weight of the rock from the planet, or $W_\text{ E-R}$ - the weight of the rock from the planet, or $W_\text{ ER}$
- the normal force from the ground pushing against the rock's weight, or $F_{N \text{ g-R}}$ - the normal force from the ground pushing against the rock's weight, or $F_{N \text{ gR}}$
### Force diagrams ### Force diagrams