BACHELOR OF SCIENCE Study Guide - Conservative Force, Mechanical Equilibrium, Kinetic Energy
9 Aug 2022
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Document Summary
This clarification can be stretched out to unbending bodies by demonstrating the work of rotational kinetic energy and torque. Kinetic energy is the energy attained by an object because of its movement or motion. In simple words, it is the energy of movement, discernible as the motion of an object, molecule, or set of particles. Above condition adheres to the law of conservation of energy as per which we can move energy starting with one structure then onto the next. Additionally here the work accomplished is the work done by all powers following up on the body like gravity, friction, external force and so on. Work done by all the forces = change in kinetic energy. Wn = work done by a normal force. A conservative force can be defined as a power that accomplishes zero work done in a closed way. If by some force act then the mechanical energy of the system stays conserved.
. If a force
acts on the object, moving it along the x-axis from
to
, the Work-Energy Theorem states that the net work done is equal to the change in the kinetic energy: 
, where
is the velocity at
is the velocity at
be the position function of the object at time t and
,
the velocity and acceleration function. Prove the Work-Energy Theorem by first using substitution rule for Definite integrals (4.5.5) to show that
) and the substitution 
to evaluate the integral.
, the acceleration due to gravity, to find the mass, measured in slugs.)
