How do you analyze projectile motion?
Analyze horizontal and vertical motion separately. Horizontal motion: constant velocity ($\a_x = 0$). Vertical motion: constant acceleration due to gravity ($\a_y = -g = -9.8 m/s^2$).
How do you solve problems involving inclined planes?
Resolve forces into components parallel and perpendicular to the plane. $F_{g\parallel} = mg \sin(\theta)$, $F_{g\perp} = mg \cos(\theta)$
How do you analyze orbital motion?
Set gravitational force equal to centripetal force: $G\frac{Mm}{r^2} = m\frac{v^2}{r}$.
How do you apply Newton's Second Law for Rotation?
Use the equation $\tau_{net} = I\alpha$ to relate net torque to rotational inertia and angular acceleration.
What is the effect of applying a net force on an object?
The object accelerates ($F_{net} = ma$).
What happens when work is done on an object?
The object's kinetic energy changes ($W_{net} = \Delta KE$).
What is the effect of an impulse on an object?
The object's momentum changes ($J = \Delta p$).
What is the effect of applying a torque on an object?
The object experiences angular acceleration ($\tau_{net} = I\alpha$).
What happens when the distance between two masses increases?
The gravitational force between them decreases ($F_g = G\frac{m_1m_2}{r^2}$).
What happens when a spring is compressed or stretched?
It stores elastic potential energy ($PE_s = \frac{1}{2}kx^2$).
Define displacement ($\Delta x$).
The change in position; a vector quantity.
Define velocity (v).
The rate of change of displacement; a vector quantity.
Define acceleration (a).
The rate of change of velocity; a vector quantity.
Define centripetal acceleration ($\a_c$).
Acceleration directed towards the center of the circle. $\a_c = \frac{v^2}{r}$
Define centripetal force ($\F_c$).
Net force causing circular motion. $\F_c = m\frac{v^2}{r}$
Define work (W).
The transfer of energy by a force. $W = Fd\cos(\theta)$
Define kinetic energy (KE).
Energy of motion. $KE = \frac{1}{2}mv^2$
Define momentum (p).
Product of mass and velocity. $p=mv$. It is a vector quantity.
Define impulse (J).
Change in momentum. $J = F\Delta t = \Delta p$.
Define torque (\$\tau$).
Rotational analog of force. $\tau = rF\sin(\theta)$
