   Chapter 4, Problem 19CQ

Chapter
Section
Textbook Problem

A truck loaded with sand accelerates along a highway. The driving force on the truck remains constant. What happens to the acceleration of the truck as its trailer leaks sand at a constant rate through a hole in its bottom? (a) It decreases at a steady rate. (b) It increases at a steady rate. (c) It increases and then decreases. (d) It decreases and then increases. (e) It remains constant.

To determine
The acceleration of the truck as its trailer leaks sand at a constant rate.

Explanation

According to Newton’s second law, force can be expressed as the product of the mass of the body and its acceleration.

The formula for the acceleration of the truck is,

a=Fm

• F is the force.
• m is the total mass of the truck and sand.

Conclusion:

The total mass which includes the mass of the truck and sand keeps decreasing steadily. The acceleration is inversely related to the mass. Therefore, as the mass decreases steadily, the acceleration increases at a steady rate. Thus, option (b) is correct.

The total mass keeps decreasing as the trailer leaks the sand through the hole

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