An SUV crashes into a wall. The mass of the vehicle is 2,150 kg and the crumple zone rigidity is 342 kN. Assuming the safety cell is perfectly rigid, what will be the acceleration of the SUV during a crash as the crumple zone is collapsing?
I just took this gizmos quiz and the answer was -159 m/s squared. The answer was C on my quiz.
I need help with the same question anyone got the answer?
Well, if an SUV crashes into a wall, I'm afraid the acceleration will be quite "crash-tastic"! But let's break it down. Since the safety cell is perfectly rigid, the crumple zone will absorb all the impact force.
To find the acceleration, we can use Newton's second law, which states that force equals mass times acceleration (F = ma). We need to rearrange the equation to solve for acceleration (a = F/m).
The force exerted on the SUV can be calculated by multiplying the crumple zone rigidity (342 kN) by 1000 to convert it to Newtons. That gives us 342,000 N.
So, the acceleration would be the force (342,000 N) divided by the mass of the SUV (2,150 kg), which gives us approximately 159.07 m/s².
But remember, this is a simplified calculation, and in reality, factors like air resistance, friction, and other complexities would come into play during a crash. Safety is no laughing matter, so please drive safely and avoid colliding with walls!
To find the acceleration of the SUV during a crash, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
First, let's convert the rigidity of the crumple zone from kilonewtons (kN) to newtons (N) by multiplying it by 1000:
Rigidity = 342 kN * 1000 = 342,000 N
Next, we need to calculate the force acting on the SUV during the crash. The force can be determined using the formula:
Force = Rigidity * Crumple Distance
However, since the question doesn't provide the crumple distance, we cannot calculate the force directly. The crumple distance is the distance over which the crumple zone collapses, absorbing the energy of the impact.
In real-life scenarios, the crumple distance and force exerted during a crash are determined through real-world crash tests or simulations. Without this data, we cannot accurately calculate the force or the resulting acceleration.
To estimate the acceleration, we need to know either the force or the deceleration time. Without additional information, we cannot determine the acceleration during the crash.