Conservative and Non-Conservative Forces Physics 1 - Grade 12
Introduction
Conservative Forces
Properties of Conservative Forces
Conservative Forces (energy is conserved, path-independent) Gravitational Force Example: Work done by gravity when lifting or dropping an object. Elastic (Spring) Force Example: Stretching or compressing a spring (Hooke’s law). Electrostatic Force Example: Force between two charges.
Conservative Forces (energy is conserved, path-independent) Magnetic Force (under certain conditions) Example: Work done on charges in a magnetic dipole system (though usually treated carefully). Central Forces (force directed along the line joining particle and center , e.g., gravity, Coulomb’s force).
In practice, we compare stored energies for different object positions. This means that only differences in potential energy are important; the zero level can be set wherever is convenient.
Non-Conservative Forces Definition: A force is non-conservative if the work it does on an object depends on the path taken. Examples: Friction, Air resistance, Tension, Applied force.
Properties of Non-Conservative Forces
Non-Conservative Forces (energy dissipated, path-dependent) These forces usually convert mechanical energy → heat, sound, deformation .
Non-Conservative Forces (energy dissipated, path-dependent) These forces usually convert mechanical energy → heat, sound, deformation .
1. James lifts a box of mass 5 kg from the ground to the top of a 1 m high table. What is the change in stored gravitational energy? 1. Change in stored gravitational energy Δ Eg = mgh Δ Eg =5×9.8×1= 49J
2. Chris pushes the end of an un‐stretched spring in by 10 com. The spring constant k = 3000 N/m. What is the change in stored elastic energy? 2. Change in stored elastic energy 15J
Comparison of Conservative and Non-Conservative Forces
Applications in Physics
Summary
2. A spring with spring constant k=800 N/m is stretched by 5 cm. 1. Maria lifts a 3 kg book to a shelf 2.5 m above the ground. seatwork