Question

How do I solve this problem?Hint:earth weightTo determine her weight on earth, use W = m g (where g is 10m/s2). moon weightTo determine her weight on the moon, use F = G M m / r2. F=gravitational force or weight [N]G=gravitational constant [always 6.67 x 10-11 m3/kg s2]M=larger mass [kg]m=smaller mass [kg]r=distance between the center of the two objects [m]Remember that the two objects interacting with each other are the student and the moon.

Answer 1

the weigth of the student on earth is 610 Newtons

the weigth on the moon is 99 Newtons

Step-by-step explanation

Step 1

find the weigth on earth

the weigth on earth is given

let

`\begin{gathered} w=\text{ mg} \\ where \\ m\text{ is the mass and g is the acceleration of gravity} \end{gathered}`

then, let

m= 61 kg

g= 10 m/s^2

replace,

`\begin{gathered} w=\text{ mg} \\ w=61\text{ kg}\cdot10\text{ }(m)/(s^2) \\ w=610\text{ Newtons} \end{gathered}`

therefore, the weigth of the student on earth is 610 Newtons

Step 2

Now, the expression to gravitacional force between two objects is given by:

then , to find the G on the moon

let

Step 3

finally, we have the force and the mass, so we can get the g value on the moon

`\begin{gathered} 99N=61k\cdot g \\ g=(99N)/(61kg) \\ g_{on\text{ moon}}=1.62\text{ }(m)/(s^2) \end{gathered}`

I hope this helps you