Further Dynamics

Basics of Further Dynamics

Newton’s laws stay relevant and important in further dynamics. These laws of motion form the basis behind the study of movement and force and are crucial in working on any problems related to this topic.
Impulse refers to the change in momentum of an object. Impulse is calculated as the product of force and the time over which it is applied.
Work done, just like in mechanics, refers to the energy transferred by a force. Here, work done would refer to the mass multiplied by the gravitational field strength and height above a set reference point.

Momentum and Conservation of momentum are critical principles in understanding further dynamics. It states that the momentum of an isolated system remains constant if no external forces act on it.
Elastic and inelastic collisions - In an elastic collision, both momentum and kinetic energy are conserved. In an inelastic collision, momentum is conserved, but kinetic energy is not.

Potential energy is the energy that a body possesses due to its position relative to others, stresses within itself, electric charge, and other factors.
Kinetic energy is the energy that a body possesses due to its motion. It is given by 1/2 multiplied with the mass of the body and the square of its speed.
Principle of conservation of energy - The total energy of an isolated system remains constant over time. This principle is one of the key cornerstones of physics.

Frictional forces tend to oppose the motion of an object and can greatly influence the outcome of various physical scenarios. It is essential to incorporate the effects of friction when calculating the motion of bodies in real-world situations.
Air resistance is another force that can impact the dynamics of an object in motion. Similar to friction, air resistance works to oppose the motion of an object and increase the overall force that must be overcome for the object to move.

A thorough understanding of the mathematical models used in further dynamics is key. These models, often involving differential equations, help explain and predict the behaviour of physical systems.
Solving problems in further dynamics often involves using these mathematical models to find exact solutions, make approximations where necessary, and interpret solutions in the context of the original physical system.