Physics Midterm 1 Ultimate Study Guide

Dimensional Consistency

A physical equation is dimensionally correct if all terms separated by addition, subtraction, or equality signs possess identical fundamental dimensions.

Velocity (v_f)

The final velocity in kinematics, represented as $v_f = v_i + a t$.

Acceleration (a)

The rate of change of velocity, commonly represented in equations.

Kinematic Position Equation

An equation that relates position, initial velocity, acceleration, and time, given by $x(t) = x_0 + v_0 t + \frac{1}{2} a t^2$.

Displacement (x)

The change in position of an object, represented in the kinematic equations.

Speed limit comparison

The act of converting speed units (e.g., from km/h to mph) to determine if one is exceeding a posted speed limit.

Kinematic Equation for Velocity

An equation that relates final velocity, initial velocity, acceleration, and time, given by $v_f = v_0 + at$.

Average Velocity

The total displacement divided by the total time taken, represented as $v_{avg} = \frac{\text{Total displacement}}{\text{Total time}}$.

Projectile Motion

The motion of an object that is subject only to the influence of gravity and initial velocity.

Tension in a Cable (T)

The force exerted by a cable in a pulling scenario, often analyzed in equilibrium problems.

Force of Friction ($f_k$)

The force resisting the motion of a sliding object, often calculated as $f_k = \text{coefficient} \times F_N$.

Newton's Second Law

States that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass, represented as $\text{F} = ma$.

Incline Angle ($\theta$)

The angle at which an incline is set, affecting gravitational force components acting on objects on that incline.

Radial (Centripetal) Acceleration ($a_r$)

The acceleration directed towards the center of a circular path, calculated as $a_r = \frac{v^2}{r}$.

Mechanical Energy

The sum of potential energy and kinetic energy in a system.

Work-Energy Theorem

States that the work done on an object is equal to the change in its kinetic energy.

Elastic Potential Energy

The potential energy stored in an elastic object when it is deformed, calculated as $U_s = \frac{1}{2} k x^2$ for springs.

Conservative Force

A force that does work independent of the path taken, leading to potential energy changes dependent only on initial and final states.

Static Friction ($f_s$)

The frictional force that prevents relative motion between two surfaces in contact.

Gravitational Potential Energy ($U_g$)

The energy stored in an object due to its height above a reference point, given by $U_g = m g h$.

Circular Motion

The motion of an object traveling along a circular path, requiring constant acceleration toward the center.

Comparison of Forces

Analyzing the net forces acting on a body to determine motion or equilibrium.

Dynamics of Two-Body Systems

The study of interactions and forces between two bodies, often involving tension and gravitational forces.