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# Suppose you drop a rock into a dark well and, using ISBN: 9780130606204 3

## Solution for problem 55PE Chapter 2

Physics: Principles with Applications | 6th Edition

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Problem 55PE

Suppose you drop a rock into a dark well and, using precision equipment, you measure the time for the sound of a splash to return. (a) Neglecting the time required for sound to travel up the well, calculate the distance to the water if the sound returns in 2.0000 s. (b) Now calculate the distance taking into account the time for sound to travel up the well. The speed of sound is 332.00 m/s in this well.

Step-by-Step Solution:

Step-by-step solution 55PE Step 1 of 4 From the equation of motion, the final position of the rock is, Here, y is the final position, yo is the initial position, u is the initia l velocity, t is the time in terval and a is the acceleration of the rock. Step 2 of 4 (a) Initial velocity u of the rock is zero.The acceleration a on the rock is . The time interval t after which rock hits the water surface is 2.0000 s. If the initial position of the rock y o is 0 m. From the equation of motion, the final position of the rock is, Substitute 0 m for yo, for , for and for . Hence, the depth of the well is .

Step 3 of 4

Step 4 of 4

##### ISBN: 9780130606204

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