Chapter 3, Problem 54A

If a woman weighed 500 N on Earth, what would she weigh on Jupiter, where the acceleration of gravity is $26m/s^2$?

To determine

The weight of the woman on Jupiter.

Answer to Problem 54A

  $1326.52\text{N}$

Explanation of Solution

Given:

The weight of the woman on Earth, $W=500\text{N}$

The acceleration of gravity on Jupiter, $g\text{'}=26{\text{m/s}}^{\text{2}}$

Formula used:

If the given mass of an object is $m$ , then the weight of the object will be,

  $W=mg$

Where, $g=$ gravity

Calculation:

Using the above formula, the mass of the woman will be,

  $\begin{array}{c}500=m\left(9.8\right)\\ m=51.02\text{kg}\end{array}$

Since the mass of an object remains same, thus the weight of the woman on Jupiter will be,

  $\begin{array}{c}W\text{'}=mg\text{'}\\ =\left(51.02\right)\left(26\right)\\ =1326.52\text{N}\end{array}$

Conclusion:

Hence, the weight of the woman on Jupiter is $1326.52\text{N}$ .