Answer:
The skidding distance would be doubled
Explanation:
When the truck applies the brakes and slows down, its motion is a uniformly accelerated motion, so its skidding distance can be found by using the suvat equation
[tex]v^2-u^2=2as[/tex]
where
v = 0 is the final velocity (zero since the truck comes to a stop)
u is the initial velocity
a is the acceleration
s is the skidding distance
The acceleration can also be written as
[tex]a=\frac{F}{m}[/tex]
where F is the force applied by the brakes and m the mass of the truck. Substituting into the previous equation,
[tex]-u^2 = 2\frac{F}{m}s\\s = -\frac{mu^2}{2F}[/tex]
We see that the skidding distance is proportional to the mass: therefore, if the mass of the truck is doubled, the skidding distance will double as well.
