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Impulse Formula

A car is traveling at full speed. It crashes into the barrier, because of the negligence of the driver.

Impulse Energy

Here huge force is applied on the wall by the car in a very little time interval which we term as an impulse.

Impulse is the big force acting for a very small interval of time. It is represented by J⃗ J→.

Impulse Formula is articulated as

Where,
Force applied = F⃗,

Time interval throughout which force is applied = t.

Impulse can also be articulated as the rate of change of momentum.

Where,
Mass of the body = m and

Velocity with which body is moving = v.

Velocity is articulated as

Where,
Initial Velocity = vi and

Final Velocity = vf .
Therefore, the Impulsive force is articulated as

Impulse is articulated in Kgms-1 and Impulsive force is articulated in Newton(N).

Solved Samples – Impulse

Below are some problems on impulse:

Problem 1: A batsman knocks back a ball straight in the direction towards the bowler without altering its initial speed of 12 m/s. If the mass of the ball is 0.15kg, calculate the impulse imparted to the ball?
Answer:

Known:

vi (Initial Velocity) = 12 m/s,
vf (Final Velocity) = -12m/s,
m (mass) = 0.15kg,
J (Impulse) = ?
Impulse is articulated as
J = mvf – mv
= m(vf – vi)
= 0.15 Kg (-12 -12) m/s
= -3.6N.
Problem  2: A golfer hits a ball of mass 45g at a speed of 40m/s. The golf club is in contact with the ball for 3 s. Compute the average force applied by the club on the ball?
Answer:

m (Mass)= 0.045 kg,
vi (Initial Velocity) = 0,
v(Final Velocity) = 40m/s,

 

Byjus Formulas