The force required to slow the truck was -5020 N
Explanation:
First of all, we find the acceleration of the truck, which is given by
![a=\frac{v-u}{t}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bv-u%7D%7Bt%7D)
where
v is the final velocity
u is the initial velocity
t is the time
For the truck in this problem,
v = 11.5 m/s
u = 21.9 m/s
t = 2.88 s
So the acceleration is
![a=\frac{11.5-21.9}{2.88}=-3.6 m/s^2](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B11.5-21.9%7D%7B2.88%7D%3D-3.6%20m%2Fs%5E2)
where the negative sign means that this is a deceleration.
Now we can find the force exerted on the truck, which is given by Newton's second law:
![F=ma](https://tex.z-dn.net/?f=F%3Dma)
where
m = 1390 kg is the mass of the truck
is the acceleration
And substituting,
![F=(1390)(-3.6)=-5004 N](https://tex.z-dn.net/?f=F%3D%281390%29%28-3.6%29%3D-5004%20N)
So the closest answer among the option is -5020 N.
Learn more about acceleration and forces:
brainly.com/question/11411375
brainly.com/question/1971321
brainly.com/question/2286502
brainly.com/question/2562700
#LearnwithBrainly