state and explain Newton's second law of motion
Answers
Answer:
2 nd law of Newton is to be
called
The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object. The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. As the force acting upon an object is increased, the acceleration of the object is increased. As the mass of an object is increased, the acceleration of
the object is decreased.
p=mv
momentum = mass × velocity
Answer:
according to Newton's second law of motion " the rate of change of linear momentum of a body is directly proportional to the external unbalanced force applied in the direction of force."
Explanation:
derivation :-
consider a body of mass( M )placed at point A with initial velocity( u) let a force( f )be applied so that it moves to point B in time (T) with the final velocity( V) having acceleration (a ).
initial momentum of a body
=mass X initial velocity
p1=mXu
p1=mu
final momentum of body
= massX final velocity
p2=mXv
p2=mv
change of linear momentum of body =final Momentum -initial momentum
=p2-p1
=mv-mu
rate of change in linear momentum
= change in linear momentum
time
=mv-mu
t
= m(v-u )
t
according to Newton's second law of motion rate of change of momentum is directly proportional to force.
m(v-u) dp( directly proportional) F
t
or F~m(v-u ) ..........................{1}
t
from first equation of motion
v=u+at
v-u= at
v-u = a..................... {2}
t
put {2} in{1}
F~m(a)
F~ma
F= kma
In S.I. units k=1
therefore,
F, (1) ma
f = ma.
hope it helps you ✌✌☺☺