To calculate the force experienced by the vehicle, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the acceleration is determined by the change in velocity and the time taken to achieve that change.
Given: Mass of the vehicle (m) = 2000 kg Initial velocity (u) = 30 m/s Final velocity (v) = 0 m/s Time taken (t) = 10 s
First, let's calculate the acceleration (a) using the equation:
a = (v - u) / t
a = (0 - 30) / 10 a = -3 m/s²
The negative sign indicates that the acceleration is in the opposite direction of the initial velocity, as the vehicle is decelerating to come to a stop.
Now, we can calculate the force (F) using Newton's second law:
F = m * a
F = 2000 kg * -3 m/s² F = -6000 N
The negative sign indicates that the force is acting in the opposite direction to the motion of the vehicle, which is necessary to decelerate it and bring it to a stop.
Therefore, the vehicle experienced a force of 6000 Newtons (N) in the opposite direction of its motion.