Question

Question:If a man weighs 900 N on the Earth, what would he weigh on Jupiter, where the free-fall acceleration is 25.9 m/s²?

Short answer

The weight of the man on Jupiter is$2379\mathrm{N}$.

Step-by-step solution

Identification of the given data

The weight of the man on Earth,$w=900\mathrm{N}$

The free-fall acceleration on Jupiter, $a_g=25.9\mathrm{m}/{\mathrm{s}}^2$

The weight of an object is the pull by which Earth attracts the object towards its surface.

Determine the weight of the man on Jupiter

The weight of the man on Earth is given as follows:

$\mathrm{w}=\mathrm{mg}$

Here, $\mathrm{g}$is free-fall acceleration on Earth, and its value is $98\mathrm{m}/{\mathrm{s}}^2$.

Put all the values in the above equation.

$$\begin{gathered} 90\mathrm{N}=\mathrm{m}\times 9.8\mathrm{m}/{\mathrm{s}}^2 \\ \mathrm{m}=91.84\mathrm{kg} \end{gathered}$$

The weight of the man on Jupiter is given as follows:

$$\begin{gathered} {\mathrm{w}}_{\mathrm{g}}={\mathrm{ma}}_{\mathrm{g}} \\ {\mathrm{w}}_{\mathrm{g}}=91.84\mathrm{kg}\times 25.9\mathrm{m}/{\mathrm{s}}^2 \\ {\mathrm{w}}_{\mathrm{g}}=2379\mathrm{N} \end{gathered}$$

Therefore, the weight of the man on Jupiter is $2379\mathrm{N}$.