Derivation of equations for law of motion, kinetic energy, potential energy, law of conservation of momentum.
Answers
Law of motion: In case of uniform acceleration, there are three equations of motion which are also known as the laws of constant acceleration. Hence, these equations are used to derive the components like displacement(s), velocity (initial and final), time(t) and acceleration(a). ... The three equations are, v = u + at.
Kinetic energy: v = The velocity acquired by the body while moving a distance s. Using the third equation of motion: v ^ 2 - u ^ 2 = 2as… This statement states that a work W is done by a body to move from one position to another by a distance s when the force F is applied to a body at rest.
Potential energy: The formula for electric potential energy is U = k q₁q₂/r, where U is EP energy, k is Coulomb Constant, q₁ and q₂ are charges and r is the distance of separation between them.
Law of conservation of momentum: Newton's third law states that for a force applied by an object A on object B, object B exerts back an equal force in magnitude, but opposite in direction. This idea was used by Newton to derive the law of conservation of momentum. B=m_{2}(v_{2}-u_{2}) (change in momentum of particle B)