"In physics, work is the energy transferred to or from an object via the application of force along a displacement."
Deals with the relationship between the work done on an object, the energy that an object possesses, and the rate at which work is done.
Kinematics: The study of motion without considering the forces causing the motion.
Dynamics: The study of motion taking into account the forces acting on the system.
Newton's laws of motion: The basic principles of dynamics that describe how forces cause motion.
Work: The product of force and displacement, or the energy transferred by a force applied over a distance.
Energy: The capacity to do work, which can exist in different forms such as kinetic, potential, thermal, and chemical.
Conservation of energy: The principle that states that energy is not created or destroyed, only transferred from one form to another.
Power: The rate at which work is done, or energy is transferred per unit time.
Work-energy theorem: A principle that relates the work done on an object to its change in kinetic energy.
Conservative and non-conservative forces: Forces that do and do not conserve mechanical energy, respectively.
Potential energy and potential energy curves: Energy due to an object's position or configuration in a force field.
Kinetic energy and rotational kinetic energy: Energy due to an object's motion.
Simple machines: Devices that make work easier, such as levers, pulleys, and inclined planes.
Elastic potential energy: Energy stored in a system when it is deformed and can be released when the system returns to its original form.
Friction: A force that opposes motion between two surfaces in contact.
Impulse and momentum: Concepts that describe how forces affect motion, particularly in collisions.
Elastic and inelastic collisions: Different types of collisions that conserve different amounts of energy and momentum.
Rotational motion: Motion of objects that rotate around an axis.
Torque: A measure of a force's ability to cause rotational motion.
Moment of inertia: The resistance of an object to rotational motion.
Angular momentum: The rotational equivalent of linear momentum.
Centripetal force: A force that causes circular motion.
Gravitational potential energy: The energy due to an object's position in a gravitation field.
Circular motion and uniform circular motion: Motion of objects that follow circular paths at constant speeds.
Conservation of momentum: A principle that describes the conservation of linear momentum in a system.
Work-energy-power relationships in different contexts such as simple harmonic motion, fluids, heat, electricity, magnetism.: Work-energy-power relationships in different contexts involve understanding how these concepts apply to various phenomena such as the oscillatory motion of simple harmonic systems, the flow of fluids, the transfer and conversion of heat, the movement of electricity, and the interaction of magnetism with other forms of energy.
Kinetic Energy: The energy that an object possesses due to its motion, calculated as 1/2mv² where m is the mass and v is the velocity of the object.
Potential Energy: The energy that an object possesses due to its position in a gravitational field or due to forces acting on it, calculated as mgh where m is the mass, g is gravity, and h is the height of the object.
Elastic Potential Energy: The energy stored in an object when it is compressed or stretched, calculated as 1/2kx² where k is the spring constant and x is the displacement of the object from its equilibrium position.
Thermal Energy: The energy that an object possesses due to its temperature, calculated as mass x specific heat capacity x temperature change.
Nuclear Energy: The energy released during nuclear reactions, such as fission or fusion of atoms.
Chemical Energy: The energy stored in chemical bonds that can be released during chemical reactions.
Electrical Energy: The energy that an object possesses due to the movement of electrons, usually associated with electrical currents.
Light Energy: The energy that is emitted by electromagnetic waves, such as visible light, ultraviolet light, or X-rays.
Sound Energy: The energy that is transmitted through matter by the movement of particles in a wave-like motion. It is associated with changes in pressure and density of the medium through which the wave travels.
Gravitational Potential Energy: The potential energy that an object possesses due to its position in a gravitational field, calculated as mgh where m is the mass, g is gravity, and h is the height of the object in relation to the ground.
Work: The amount of energy transferred when a force is applied to an object and causes it to move, calculated as W = Fd where F is the force applied and d is the distance moved in the direction of the force.
Power: The rate at which work is done or energy is transferred, calculated as P = W/t where P is power, W is the amount of work done, and t is the time taken to perform the work.
"In its simplest form, for a constant force aligned with the direction of motion, the work equals the product of the force strength and the distance traveled."
"A force is said to do positive work if when applied it has a component in the direction of the displacement of the point of application."
"For example, when a ball is held above the ground and then dropped, the work done by the gravitational force on the ball as it falls is positive, and is equal to the weight of the ball... multiplied by the distance to the ground."
"A force does negative work if it has a component opposite to the direction of the displacement at the point of application of the force."
"If the ball is thrown upwards, the work done by the gravitational force is negative, and is equal to the weight multiplied by the displacement in the upwards direction."
"The work done is given by the dot product of the two vectors."
"When the force F is constant and the angle θ between the force and the displacement s is also constant, then the work done is given by..."
"Work is a scalar quantity."
"The SI unit of work is the joule (J), the same unit as for energy."
"Work transfers energy from one place to another, or one form to another."
"The work done is given by the dot product of the two vectors."
"A force is said to do positive work if when applied it has a component in the direction of the displacement... A force does negative work if it has a component opposite to the direction of the displacement."
"Yes, for a constant force aligned with the direction of motion, the work equals the product of the force strength..."
"Yes, for a constant force aligned with the direction of motion, the work equals the product of... the distance traveled."
"For example, when a ball is held above the ground and then dropped, the work done by the gravitational force on the ball as it falls is positive..."
"Work is the energy transferred to or from an object via the application of force along a displacement."
"Work is a scalar quantity, so it has only magnitude and no direction."
"Work transfers energy from one place to another, or one form to another."
"The SI unit of work is the joule (J), the same unit as for energy."