Question

Mars' gravitational pull is 0.376 that of the Earth's. What would a person of mass 87.4 kg weigh on Mars?

Answer 1

322.05 Newtons

Step-by-step explanation

Weight is a quantity representing the force exerted on a particle or object by an acceleration field,it can be calculated using the expression

`\begin{gathered} w=mg \\ where\text{ w is the weight\lparen Newtons\rparen} \\ m\text{ is the mass \lparen kg\rparen} \\ g\text{ is the gravity} \end{gathered}`

we know the acceleration of gravity ( g ) on earth is

`9.8(m)/(s^2)`

so

Step 1

a) let

`\begin{gathered} m=87.4\text{ Kg} \\ weigth_(mars)=m*g_(earth)*0.376 \end{gathered}`

replace

`\begin{gathered} we\imaginaryI gth_(mars)=mg_(earth)*0.376 \\ we\imaginaryI gth_(mars)=87.4\text{ kg*9.8}(m)/(s^2)*0.376 \\ we\mathrm{i}gth_(mars)=322.05\text{ Newtons} \end{gathered}`

so, the answer is

322.05 Newtons

I hope this helps you