In: Physics
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ENERGY:-
Engineers and scientist realise that there is another more
powerfull technique for analyzing motion.And this new concept can
be extended to use in other situations like chemical
reactions,biological functions etc which does not involve
motion.This other technic is "ENERGY".The energy is ability or
capacity to do work.But this definition does not extend to chemical
or heat energy and some other types of energy so it can be defined
precisely as "Energy is a number that we associate with a system of
one or more objects and this number changes when state of system
changes".
TYPES OF ENERGY:-
Kinetic energy-It is the energy associated with a body with state
of motion of object
K.E=1/2mv^2
where m is mass of object and v is speed of object.
so if body is at rest then K.E=0
If body is moving then K.E>0
Gravitational potential energy-It is associated with state of
sepration between objects,which attracts each other by
gravitational force.
and
U=gravitational potential energy=mgh
here m-mass of object g-acceleration due to gravity h-hight above
the earth surface
The potential energy here is due to earth and the object,we have
assumed potential energy=0 at surface of earth.
The general definition of potential energy is
"CHANGE IN POTENTIAL ENERGY =-(WORK DONE BY INTERNAL FORCES).
WORK:-
Work W is energy transferred to or from an objectby means of force
acting on an object.Energy transferred to object is positive and
energy transferred from an object is negative.
W=Fdcos0
where F is force d is displacement and 0 is angle between F and
d
Power:- Power is time rate of doing work by a force.
<P>=average power=W/t
P=instantanious power=dw/dt
Mechanical energy-It is sum of kinetic energy and potential
energy of an object=U+K
Conservation of energy states that Total amount of energy in this
universe is constant or we may say it remain conserved.So energy
can neither be created nor be destroyed rather it can change its
form.
If W work is done on an object then W=change in mechanical
energy+change in thermal energy+change in internal enrgy.
if temperature remains constant during motion and change in
internal energy =0 then
W=change in mechanical energy
also if W=0 the change in mechanical energy=0 so Ui+Ki=Uf+Kf this
is called conservation of mechanical energy
so if work done by external agent =0 then mechanical energy remain
conserved.