Final answer:
The maximum acceleration of the truck decreases when it carries a load due to increased mass under the same force. The car's speed after 10 seconds from rest is calculated from the applied force and time. The pickup truck's deceleration and time to stop due to friction with the loaded boxes is found using the coefficient of friction and the truck's initial velocity.
Step-by-step explanation:
The maximum acceleration of a truck or any object is governed by Newton's second law of motion (F=ma), where F represents force, m is the mass, and a is acceleration. Since the force required to move an object is the product of its mass and acceleration, an increase in mass (due to the added load) will decrease acceleration, assuming the force remains the same. To calculate the new acceleration, the total mass of the empty truck and its load (2000kg + 1000kg = 3000kg) should be used. When the truck is content loaded, the maximum acceleration will be reduced proportionally. For the car, the force applied results in acceleration (F=ma), so by solving for a=F/m we get acceleration of approximately 2.86 m/s². After 10s, given that its initial speed is 0 m/s, the car's speed can be calculated using the equation: final speed = initial speed + (acceleration * time). For the pick-up truck's deceleration due to friction, first we calculate the force of friction using: Force = coefficient * mass * gravity. The time taken to stop can then be calculated using the equation: time = velocity / acceleration, where acceleration here is the negative value due to deceleration.
Learn more about Newton's Laws of Motion