Chapter 2, Problem 2.14P

(a)

Interpretation Introduction

Interpretation:

Mass of an object at $10^{th}$ floor has to be calculated.

Concept introduction:

Effect of altitude on electronic balance:

The gravitational force of the earth is indirectly proportional to height of an object.

$\text{g}\text{α}\frac{\text{1}}{\text{h}}$

From the above statement, weight of an object, which is measured in the electrical balance is varied respect with altitude.

The weight of an object ${\text{m}}_{\text{a}}$ is varied into ${\text{m}}_{\text{b}}$, the altitude on electronic balance is varied and the ${\text{m}}_{\text{b}}$ is given as,

${\text{m}}_{\text{b}}{\text{=m}}_{\text{a}}\left(\frac{{\text{r}}_{\text{a}}{}^{\text{2}}}{{\text{r}}_{\text{b}}{}^{\text{2}}}\right)$

Where,

${\text{m}}_{\text{a}}$ is mass of an object.

${\text{m}}_{\text{b}}$ is mass of an object.

${\text{r}}_{\text{a}}$ is distance between centre of the earth to balance.

${\text{r}}_{\text{b}}$ is changed distance between centre of the earth to balance.

(b)

Interpretation Introduction

Interpretation:

The effect of pressure on the electronic balance should be explained.

Concept introduction:

Effect of altitude on electronic balance:

The gravitational force of the earth is indirectly proportional to height of an object.

$\text{g}\text{α}\frac{\text{1}}{\text{h}}$

From the above statement, weight of an object, which is measured in the electrical balance is varied respect with altitude.

The weight of an object ${\text{m}}_{\text{a}}$ is varied into ${\text{m}}_{\text{b}}$, the altitude on electronic balance is varied and the ${\text{m}}_{\text{b}}$ is given as,

${\text{m}}_{\text{b}}{\text{=m}}_{\text{a}}\left(\frac{{\text{r}}_{\text{a}}{}^{\text{2}}}{{\text{r}}_{\text{b}}{}^{\text{2}}}\right)$

Where,

${\text{m}}_{\text{a}}$ is mass of an object.

${\text{m}}_{\text{b}}$ is mass of an object.

${\text{r}}_{\text{a}}$ is distance between centre of the earth to balance.

${\text{r}}_{\text{b}}$ is changed distance between centre of the earth to balance.