Chapter 3, Problem 54R

To determine

The gravitational strength of a person when he is at the top of a high mountain.

Answer to Problem 54R

The gravitational strengthof the person at the top of the high mountain is $9.70\text{m}/{\text{s}}^2$ .

Explanation of Solution

Given info:

Weight of the person on scale reading at the top of the mountain, $W_s=728\text{N}$

Mass of the person, $m=75\text{kg}$

Formula used:

The expression to determine the gravitational strengthis,

  $g=\frac{W_s}{m}$

Here,

• $g$ is gravitational strength.

Calculation:

Substitute the given values in the above equation.

  $\begin{array}{l}g=\frac{728\text{N}}{75\text{kg}}\\ g=\frac{728\text{N}\left(\frac{\text{kg}\cdot \text{m}/{\text{s}}^2}{1\text{N}}\right)}{75\text{kg}}\\ g=9.70\text{m}/{\text{s}}^2\end{array}$

Conclusion:

Hence, the gravitational strength of the person at the top of the high mountain is $9.70\text{m}/{\text{s}}^2$ .