Question

What formula can you use to solve for mass when you are given weight?

Answer 1

Weight = mass x gravity....just solve that equation for mass.

Answer 2

Where the acceleration due to gravity is ~9.8 m/s^2.

Answer 3

my choices are \[\frac{ Fg }{ m } , \frac{ Fg }{ g } , and \frac{ m }{ Fg }\]

Answer 4

Ok, given those answers you have \[Fg=mg\]How do you solve that for m?

Answer 5

(consider that weight is the same as Fg where Fg is the force due to gravity)

Answer 6

This is so confusing, Im sorry I still don't get it

Answer 7

can u post the question if u nt then u gt more confuse.

Answer 8

lets start with the basics.
u know that weight is nothing but the gravitational force applied on us by the Earth.
so W = GMm/R^2.....(i).......using the standard notations.
so here G,M,R are constants and m is our mass.
so we can find the value of GM/R^2, which approximately comes out to be 9.8.
the unit of which is found to be m/s^2.....(try verifying this)
so we get, (GM/R^2) = 9.8 m/s^2
we call this as acceleration due to gravity and denote it by 'g'.
thus, g = GM/R^2 = 9.8m/s^2...........(ii)
u can say it's acceleration by looking at the unit. and the force responsible for it is gravity. hence 'acceleration due to gravity'.
substitute (ii) in (i), u'll get
W = mg..........(iii)
here W -> weight of the body
m -> mass of that body
g -> acceleration due to gravity
in ur question, weight is denoted as \[F _{g}\]
so our eq (iii) becomes,
\[F _{g} = mg\]
this is how @Shane_B got his eq.
now, just solve this for m.

Answer 9

Weight (W) = Mass(m) * Acceleration due to gravity (g)

So, Mass = Weight / Acceleration due to gravity

i.e. m = W / g