Please proof all the 3 equation of Motion and all the laws also
Answers
Answer:
derivation of 1st equation of motion:
by algebric method:
acceleration us define as the rate of change of velocity so the acceleration can be written like;
a = v - ut
from this term the equation of motion obtained:
v = u + at
derivation of 2nd equation of motion:
as we know s is the product of average velocity(u+v)/2 and time period
s = (u + v )×t
2
s = (u +v + at)×t
2
s = (2u/2+1/2×at)×t
s= { (u +1/2)at }×t
s = ut +1/2at²
derivation of 3rd equation of motion:
from 2nd we get s = ut +1/2at²
putting t=(v - u) +(1/2)a(v - u )²/a
2
solving we get s= 2uv-2u²+v²+u²-2uv
2a
so, 2as = u²+2as
v²=u²+2as
hope this answer will help you...
Answer:
first law of motion is " A BODY CONTINUES ITS STATE OF REST OR OF UNIFORM MOTION IN A STRAIGHT LINE IF NO NET FORCE ACT A ON IT"
NET FORCE is" resultant of all forces acting on a body "
the first part of law (a BODY at REST remains at rest if no NET FORCE ACT on it)is true as we observe it our daily life for example A BOOK LYING ON A TABLE REMAINS AT REST AS LONG AS NO NET FORCE ACT ON IT
similarly,the second part of law (a body in a UNIFORM MOTION of STRAIGHT line called "LINEAR MOTION " remains in motion if no NET FORCE ACT ON IT ) is also but don't observe it in daily life for example A ball rolled on a rough surface stops earlier as compared to a ball rolled on a smooth ground, this is because rough surface offers greater friction .if there's no FORCE to OPPOSE the MOTION of BODY like FORCE of FRICTION then the moving body would never stop
THUS ,THE FIRST LAW OF MOTION IS PROVED
next , second law of motion states that"WHEN A NET FORCE ACT ON A BODY ,IT PRODUCES ACCELERATION IN THE BODY IN THE DIRECTION OF NET FORCE .THE MAGNITUDE OF THIS ACCELERATION IS DIRECTLY PROPORTIONAL TO THE NET FORCE ACTING ON BODY AND INVERSELY PROPORTIONAL TO ITS MASS" I PROVED it in step by step explanation BELOW
next ,THIRD law of motion states that"TO EVERY ACTION THERE IS" ALWAYS" an "EQUAL "but "OPPOSITE" ( in direction) reaction.
for example,a book is lying on the table .in this case ,the weight of book is acting on table in DOWNWARD direction,it is ACTION & reaction of table acts in UPWARD direction.
in our daily life ,,suppose someone slaps you hardly .what Will you do ? touch him or slap him with equal hardness .Of course you will slap with equal hardness.
this is also an example of THIRD law of motion . if we consider a rocket ,it also moves on the same principle .when it's fuel burns ,hot gases escape out from its tail with a very high speed.its action .then as a reaction of these gases ,the rocket moves in the opposite direction of gases rushing out of its tail .
I made all my possible effort to give answer and make u sure ,if u understand it ,plz comment sk that I will know that u understand it
Step-by-step explanation:
now I wilbe give u an equation which proves second law
if a force F produces acceleration a in a body of mass m ,then we can state mathematically that
a ~(directly proportional ) F
&
a ~(inversly proportional)1/m
by combining both equations :
a~F/m or F ~ma
by putting "K " as proportionality constant ,
F = Kma