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?

Respuesta :

2.4 × [tex]10^{3} [/tex] kilogram meters/ second 

Answer: Value of impulse is [tex]2.4\times 10^3\text{kg m/s}[/tex]

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,

[tex]J=F\times t=m\Delta v[/tex]

And,

[tex]\Delta v=v_2-v_1[/tex]

Given:

[tex]m=1.2\times 10^3kg\\v_1=18m/s\\v_2=20m/s[/tex]

Putting values in above equation, we get:

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

[tex]J=2.4\times 10^3\text{kg m/s}[/tex]