Final answer:
The question involves calculating the maximum acceleration of a utility truck using the principles of physics, specifically Newton's laws and friction, as well as determining whether a metal cabinet would slip during this acceleration.
Step-by-step explanation:
The question regarding the maximum acceleration of a utility truck and whether a metal cabinet will slip off its bed falls under the subject of Physics, and is applicable to a high school level assignment. This problem requires an understanding of Newton's laws of motion, friction, and basic principles of mechanics.
(a) Given that a 1.00 × 10³ kg truck has half of its weight supported by two drive wheels, we can calculate the maximum acceleration it can achieve on dry concrete by equating the frictional force (which provides the acceleration) to the product of the normal force (half of the truck's weight) and the coefficient of friction for dry concrete. Since we don't have the coefficient of friction value in the question, a generic approach would be used to set up the formula: a = μg, where a is the acceleration, μ is the coefficient of friction, and g is the acceleration due to gravity (9.8 m/s²).
(b) Whether the metal cabinet will slip can be determined by comparing the static friction force between the cabinet and the truck's bed with the inertial force exerted on the cabinet due to the truck's acceleration. If the static friction force is greater, the cabinet will not slip.
(c) If we assume the truck has four-wheel drive, the calculation for maximum acceleration would differ as the normal force would now be distributed across all four wheels, potentially leading to a different magnitude of acceleration.