Answer:
[tex]0.67 m/s^2[/tex]
Explanation:
We can solve the problem by using Newton's second law:
[tex]F=ma[/tex]
where
F is the net force on the truck
m is the mass of the truck+load
a is the acceration
At the beginning, the mass of the truck is
m = 2000 kg
and its acceleration is
[tex]a=1 m/s^2[/tex]
So, the maximum force that the engine of the truck can produce is
[tex]F=ma=(2000)(1)=2000 N[/tex]
Later, a load of 1000 kg is put on the truck, so the new mass is
m = 2000 + 1000 = 3000 kg
The maximum force that the engine can produce is the same, so the new maximum acceleration of the truck will be:
[tex]a=\frac{F}{m}=\frac{2000 N}{3000 kg}=0.67 m/s^2[/tex]