Chapter 4.2, Problem 20PP

a.

To determine

To Calculate: The mass.

Answer to Problem 20PP

Mass on earth is $m=59.69\text{ kg}$ .

Explanation of Solution

Given:

Weight, $w=585\text{ kg }$

Acceleration due to gravity on earth, $g=9.8{\text{ m/s}}^{-2}$

Formula Used:

  $w=mg$

w is the weight

m is the mass

g is the acceleration due to gravity.

Calculation:

  $w=mg$

Substituting the values

  $585\text{ kg }=m\left(9.8{\text{ m/s}}^{-2}\right)$

  $m=59.69\text{ kg}$

Conclusion:

Mass on earth is $m=59.69\text{ kg}$ .

b.

To determine

The weight on moon.

Answer to Problem 20PP

The weight on the moon is $w=95.50\text{ N}$ .

Explanation of Solution

Given:

Mass. $m=59.69\text{ kg}$

Acceleration due to gravity on moon, $g=1.6{\text{ m/s}}^{-2}$

Formula Used:

  $w=mg$

w is the weight

m is the mass

g is the acceleration due to gravity.

Calculation:

  $w=mg$

Substituting the values

  $w=\left(59.69\text{ kg}\right)\left(1.6{\text{m/s}}^{-2}\right)$

  $w=95.50\text{ N}$

Conclusion:

The weight on the moon is $w=95.50\text{ N}$ .