How do you find weight =mass×gravitational acceleration

2 answers:

7 0

That's a formula that shows the relationship between three quantities ...
weight, mass, and acceleration. If you know any two of them, then you
can use this formula to find the one you don't know.

Examples:

==> I have a rock with 2 kilograms of mass.
The gravitational acceleration on Earth is 9.8 m/s² .
How much does my rock weigh on Earth ?

   Weight = (mass) x (grav acceleration)
      = (2 kg) x (9.8 m/s²)
   = 19.6 newtons
      (about 4.41 pounds)

==> My brother weighs 770 newtons (about 173 pounds) on Earth.
   What is his mass ?

       Weight = (mass) x (grav acceleration)

   770 newtons = (mass) x (9.8 m/s²)
Divide each side
by 9.8 m/s²:    770 newtons / 9.8 m/s² = mass

    78.57 kilograms = mass

==> When I went to the Moon, I took along my 2-kilogram rock.
   I weighed my rock on the Moon.
   It weighs 3.25 newtons (about 0.73 pound) there.
   What is the gravitational acceleration on the Moon ?

   Weight = (mass) x (grav acceleration)

   3.25 newtons = (2 kg) x (acceleration)

Divide each side
by 2 kilograms: (3.25 newtons)/(2 kg) = acceleration

    1.63 m/s² = grav acceleration on the Moon