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# A box rests on the (frictionless) bed of a truck. The

ISBN: 9780130606204 3

## Solution for problem 2Q Chapter 4

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition

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Problem 2Q

A box rests on the (frictionless) bed of a truck. The truck driver starts the truck and accelerates forward. The box immediately starts to slide toward the rear of the truck bed. Discuss the motion of the box, in terms of Newton's laws, as seen (a) by Mary standing on the ground beside the truck, and (b) by Chris who is riding on the truck (Fig. 4-35).

Step-by-Step Solution:

We have to analyse the motion of the box in inertial and non-inertial frame of reference.

A] Motion of box, according to Mary standing on the ground                                        Step 1 of 2Concept:    Newton’s first law: Every boy continues in its state of rest or of uniform motion unless it is compelled by an external force.

Newton’s second law: The force Facts on mass m produces an acceleration a in the object.

Step 2 of 2</p>

Mary is in the inertial frame of reference since she is standing on the ground besides the truck. Therefore according to Mary, the box is stationary relative to the ground as there is no external force which is acting on the box. The acceleration of the box is zero.        As per the Newton’s Newton's first law, the box continues to remains in its state of rest. Thus, for Mary who is standing on the ground, the motion of box when the truck accelerates forward, appears to be at rest(no motion).

B] Motion of box, according to Chris who is riding on the truck                                        Step 1 of 2Concept:    Newton’s first law: Every boy continues in its state of rest or of uniform motion unless it is compelled by an external force.

Newton’s second law: The force F acts on mass m produces an acceleration a in the object.

Step 2 of 2

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