Question

State law of conservation of linear momentum.derive it from newton's second law of motion

Answer 1

Newton's second law of motion says that rate of change of linear momentum of a body is equal to the net external force applied on it. If the net external force acting on a body is zero, then the rate of change of momentum is also zero, which means that there is no change in momentum.

Answer 2

Newton’s  Second law of motion helps to explain the law of conservation of momentum.

Explanation:

Law of Conservation Of Linear Momentum is defined as follows

• Newton’s Second law of motion explains that the rate of change of the linear momentum of any body is proportional to the net external force applied to it.

Mathematically it is expressed as:

$\frac{dp}{dt} =\frac{mv}{dt} =m\frac{dv}{dt} =ma=Fnet$

• When the net external force acting on a body is zero, then the value of rate of change of momentum  of the body is also zero.

This means that there is no change in momentum. shown

• According to the Newton’s second law states it that the acceleration of an object always depends upon two variables.
• Here the net force acting on the object and that on the mass of the object.
• The acceleration of the body is directly proportional to the net force acting on the body and inversely proportional to the mass of the body".
• Thus the force acting upon any object is increased, when the acceleration of the object is increased.
• Thus the mass of an object is increased, and then the acceleration of the object is decreased.

This statement is expressed in equation form as,

$a=\frac{Fnet}{m}$

The above equation can be rearranged to a familiar form as

$F=ma$

#SPJ3