Answer: 1200 kg
Explanation: Taking into account the Newton's second law, the mass of the vehicle is 1200 kg.
In first place, acceleration in a body occurs when a force acts on a body. There are two factors that influence the acceleration of an object: the net force acting on it and the mass of the body.
Newton's second law states that this force will change the speed of an object because the speed and / or direction will change. These changes in velocity are called acceleration.
So, Newton's second law defines the relationship between force and acceleration mathematically. This law says that the acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object.
Mathematically, Newton's second law is expressed as:
F= m×a
where:
F = Force [N]
m = Mass [kg]
a = Acceleration [m/s²]
In this case, you know:
F= 1800 N
m= ?
a= 1.5 m/s²
Replacing:
1800 N= m× 1.5 m/s²
Solving:
m= 1800 N÷1.5 m/s²
m= 1200 kg
Finally, the mass of the vehicle is 1200 kg.