Respuesta :
Answer : The correct option is, (A) 7.5 mN.s
Explanation :
Impulse : It is defined as the force applied to an object for a certain amount of time.
Formula used :
[tex]I=F\times \Delta t[/tex]
As we know that:
[tex]F=m\times \Delta a\\\\\Delta a=\frac{\Delta v}{\Delta t}[/tex]
Thus, formula of impulse will be:
[tex]I=m\times \Delta v[/tex]
where,
I = impulse  = ?
m = mass = 0.15 kg
[tex]\Delta v[/tex] = change in speed of velocity = [tex]v_{final}-v_{initial}=15cm/s-10cm/s=5cm/s=0.05m/s[/tex] Â Â (1 m = 100 cm)
Now put all the given values in the above formula, we get:
[tex]I=(0.15kg)\times (0.05m/s)[/tex]
[tex]I=0.0075kg.m/s=0.0075N.s=7.5mN.s[/tex] Â Â Â (1 N.s = 1000 mN.s)
Therefore, the impulse acting on the car is, 7.5 mN.s