Equations
- Work
- $$w = F * d * \cos{\theta}$$
- Unit for work is Joules ($$N*m$$)
Use integral to find work done by a varying force.
- Kinetic Energy
- $$k = \frac{1}{2}mv^2$$
- Net Work
- $$w_{net} = \delta{k}$$
- $$F * d * \cos{\theta} = \frac{1}{2}mv_f^2 - \frac{1}{2}mv_i^2$$
- Calculating the Normal Force from Gravity at an Angle
- $$W * \cos{\theta}$$
- $$|mg| * \cos{\theta} $$
- Centripetal Force
- $$F_c = \frac{mv^2}{r}$$
Ideal Speed
- Finding the Ideal Angle for Taking a Curve
- $$tanβ‘π= \frac{π£^2}{πβ’π}$$
- Finding the Ideal Velocity for Taking a Curve
- $$v = \sqrt{rg \tan{\theta}}$$