Chapter 8, Problem 77AP

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# A 40.0-kg child stands at one end of a 70.0-kg boat that is 4.00 m long (Fig. P8.77). The boat is initially 8.00 m from the pier. The child notices a turtle on a rock beyond the far end of the boat and proceeds to walk lo that end to catch the turtle, (a) Neglecting friction between the boat and water, describe the motion of the system (child plus boat), (b) Where will the child be relative to the pier when he reaches the far end of the boat? (c) Will he catch the turtle? (Assume that he can reach out 1.00 m from the end of the boat.)Figure P8.77

(a)

To determine
The motion of the system (child plus boat) by neglecting the friction between the boat and water.

Explanation

The center of gravity of the child plus boat system remains constant hence there is no horizontal forces act on the system

The center of gravity of the system is defined as xcg=(mcxc+mbxb)/(mc+mb)=constantâ†’

(b)

To determine
The child distance relative to the pier when he reaches the far end of the boat.

(c)

To determine
It is about the catch of the turtle.

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