Chapter 7, Problem 87A

a.

To determine

Effect on body mass.

Answer to Problem 87A

Mass is increased.

Explanation of Solution

Given:

Body mass of previous day is 50 kg.

On present day it is found that weight is gained while the location is same.

Formula used:

Weight is given as,

  $W=mg$

Calculation:

Since the location is same, it means $g$ is constant.

As, $W=mg$

So, weight $W$ will be directly proportional to mass $m$ .

Hence, increase in weight will results in increase in mass.

Conclusion:

Therefore, the mass will increase.

b.

To determine

Effect on ratio of weight to mass.

Answer to Problem 87A

Ratio of W to m (weight to mass ratio) will remain constant.

Explanation of Solution

Given:

Body mass of previous day is 50 kg.

On present day it is found that weight is gained while the location is same.

Formula used:

Weight is given as,

  $W=mg$

Calculation:

Rearranging the formula,

  $g=\frac{W}{m}$

Ratio of $W$ and $m$ is $g$ .

If weight is increased then mass will also increase. Also, the location is not changed.

So, $g$ will be constant that is ratio of $W$ and $m$ is constant.

Conclusion:

Therefore, the ratio of weight to mass will remain constant.