The document discusses linear momentum and impulse force. It defines linear momentum as the product of an object's mass and velocity. It also describes how impulse force is equal to the rate of change of an object's momentum, derived from Newton's Second Law. The impulse-momentum equation states that the impulse of a force acting on an object over a short time interval is equal to the change in the object's momentum.

2. Linear Momentum Equation
The linear momentum of a particle with mass ‘m’ moving
with velocity ‘v’ is defined as product of mass and velocity
.i.e:
p = mv
It is based on the law of conservation of momentum or on
the momentum principle, which states that the net force
acting on a fluid mass is equal to the change in momentum
of flow per unit time in that direction. The force acting on a
fluid mass ‘m’ is given by the Newton’s law of motion,

3. F=m*a
where a is the acceleration acting in the same direction as F.
IMPLUSE FORCE AND EQUATIONS
The impulse-momentum equation can be easily derived from
kinematics and Newton's Second Law. This equation is very closely
related to newton’s second law - in fact, it is often called the "Impulse-
Momentum form of Newton's Second Law".
So, to derive the equation we have,
a=
F=m*
= {m is constant and can be taken
inside the differential }

4. ∴ F= ……….. Eq(2)
Eq(2) is known as momentum principle.
Eq(2) can be written as : F.dt=d(mv) .........Eq(3)
Here Eq(3) is known as the impulse-momentum equation and
states that the impulse of a force F acting on a fluid of mass
‘m’ in a short interval of time dt which is called impulse force
is equal to the change of momentum d(mv) in the direction of
force.