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a car with a mass of 1.2 × 103 kilograms is moving at a speed of 18 meters/second. It is hit by a truck from behind and its speed after the collision increases to 20 meters/second. What is the value of impulse?

Verified Answer :

2.4 × \(10^{3}\) kilogram meters/ second

Answer: Value of impulse is \(2.4\times 10^3\text{kg m/s}\)

Explanation: lmpulse is defined as the amount of force acting over a short time interval 't' which is equal to the change in momentum of the body having mass 'm'.

Mathematically,

\(J=F\times t=m\Delta v\)

And,

\(\Delta v=v_2-v_1\)

Given:

\(m=1.2\times 10^3kg\\v_1=18m/s\\v_2=20m/s\)

Putting values in above equation, we get:

\(J=m(v_2-v_1)=1.2\times 10^3(20-18)\text{ kg m/s}\)

\(J=2.4\times 10^3\text{kg m/s}\)