Final answer:
The maximum acceleration of a utility truck with either two-wheel or four-wheel drive on dry concrete can be calculated using the coefficient of friction and Newton's second law. Whether a metal cabinet will slide off the truck's bed depends on the static friction between the cabinet and the truck bed compared to the inertial force due to acceleration.
Step-by-step explanation:
The question is asking for the maximum acceleration a small utility truck can achieve if half of its weight is supported by its two or four drive wheels on dry concrete, and to determine if a metal cabinet will slide off the truck bed at this acceleration. Assuming that the coefficient of friction between the concrete and the truck tires is the one typically for dry concrete, the maximum acceleration can be calculated using Newton's second law.
In the two-wheel drive scenario, with a truck of mass 1.00 × 10³ kg, the weight supported by the drive wheels is half the total weight. The force of friction, which equals the maximum force before slipping, can be used to calculate the maximum acceleration.
If we apply the same approach to a four-wheel drive version of the truck, the distribution of weight will alter the force of friction available for acceleration, likely resulting in a different value for maximum acceleration. To assess if the metal cabinet would slip, you need to compare the static friction force between the cabinet and the truck bed with the force exerted on the cabinet due to the truck's acceleration.