Physics 1 Formulas and Equations - Kinematics, Projectile Motion, Force, Work, Energy, Power, Moment

This paragraph introduces the video's focus on essential physics formulas, particularly those related to motion and kinematics. It emphasizes the importance of understanding these formulas for students currently studying physics or preparing for exams. The first formula discussed is for constant speed motion, where displacement (D) is equal to velocity (V) times time (T). The distinction between speed and velocity is clarified, with speed being a scalar quantity (always positive) and velocity being a vector (which can be positive or negative). The paragraph also covers formulas applicable to motion with constant acceleration, including final velocity (V_final) and displacement with examples and explanations.

The second paragraph delves into projectile motion, explaining how the previously discussed kinematic formulas apply to objects moving solely under the influence of gravity. It covers the conditions for projectile motion and introduces the concept of the trajectory, highlighting the highest point where vertical velocity is zero. Formulas for calculating maximum height, range, and time of flight for projectiles are provided, along with a brief introduction to relative velocity, emphasizing the main equations needed to solve problems involving it.

This paragraph introduces the concept of vectors in physics, explaining how they can represent various physical quantities like velocity, acceleration, and force. It provides formulas for calculating the components of a vector based on its angle from the horizontal axis. Newton's laws of motion are then discussed, with explanations of how they relate to an object's state of motion and the forces acting upon it. The weight force and friction, including kinetic and static friction, are also defined with their respective formulas, emphasizing their importance in understanding force dynamics.

The fourth paragraph focuses on uniform circular motion, defining centripetal acceleration and centripetal force, and providing formulas for calculating velocity and period. It connects these concepts to work and energy principles, discussing how work is done by a force and how it relates to the change in an object's kinetic energy. The work-energy theorem is explained, along with the concept of potential energy, particularly gravitational potential energy, and its relationship with work done by gravity.

This paragraph discusses springs, starting with the concept of spring constant and the force required to stretch or compress a spring. It introduces the formula for elastic potential energy in a spring and explains how it relates to the spring's compression or extension. The paragraph also connects the concepts of work and energy to springs, explaining how work done on a spring is converted into stored energy and how the release of this energy can do work.

The sixth paragraph introduces the concept of power, relating it to work and energy transfer rates. It provides the formula for power and explains its connection to force and velocity. The paragraph then moves on to discuss momentum and impulse, defining them and presenting the impulse-momentum theorem. It explains how changes in momentum relate to forces and how these concepts can be applied to calculate forces in various scenarios, such as rocket propulsion and water flow from a hose.

This paragraph explores rotational motion, starting with the relationship between angular displacement and linear displacement. It defines angular velocity and acceleration, and provides formulas relating them to linear quantities. The paragraph also covers rotational kinematics, including formulas for final angular velocity and angular displacement, and explains how they relate to linear kinematics. Inertia and rotational inertia are introduced, with formulas for different objects and scenarios, and the paragraph concludes with a discussion on torque, relating it to force and its rotational equivalent.

The final paragraph discusses gravitational force, explaining how it works between two masses and providing the formula for calculating it. It also covers gravitational acceleration and potential energy, offering formulas and explaining their applications. The paragraph then moves on to simple harmonic motion, discussing the frequency and period of oscillations, and providing formulas for a mass-spring system. It concludes with a brief mention of the physical pendulum and resources for further learning on these and other physics topics.