Question

Of all the planets in our solar system, Jupiter has the greatest gravitational strength. 1.) If a 0.500-kilogram pair of running shoes would weigh 11.55 newtons on Jupiter, what is the strength of gravity there?2.) If the same pair of shoes weighs 0.3 newtons on Pluto (a dwarf planet), what is the strength of gravity there? 3.)What does the pair of shoes weigh on mars?

Answer 1

Given,

The mass of the shoes, m=0.500 kg

The weight of the shoes on the Jupiter, W₁=11.55 N

The weight of the shoes on the Pluto, W₂=0.3 N

The strength of gravity, i.e., the acceleration due to gravity is given by the ratio of weight to the mass.

1.)

Thus the strength of gravity on Jupiter is given by,

`g_J=(W_1)/(m)`

On substituting the known values in the above equation,

`\begin{gathered} g_J=(11.55)/(0.500) \\ =23.1m/s^2 \end{gathered}`

Thus the strength of gravity on Jupiter is 23.1 m/s²

2.)

The strength of gravity on Pluto is given by,

`g_P=(W_2)/(m)`

On substituting the known values,

`\begin{gathered} g_P=(0.3)/(0.500)_{} \\ =0.6m/s^2 \end{gathered}`

Thus the strength of gravity on Pluto is 0.6 m/s²

3.)

The weight of the shoes on the mars can be calculated using the formula,

`W_3=mg_M`

Where g_M is the acceleration due to gravity or the strength of gravity on Mars which is equal to 3.72 m/s²

On substituting the known values,

`\begin{gathered} W_3=0.500*3.72 \\ =1.86\text{ N} \end{gathered}`

Thus the weight of the shoes on Mars is 1.86 N