A Body Is Moved From Sea Level To The Top Of A Mountain. What Changes- The Body’s Mass, It’s Weight Or Both?
Assuming a solid body which won’t evaporate or have bits break off or wear off, the mass will always be the same wherever in the universe that you take it.
Its weight is the gravitational force acting upon it by other bodies. For domestic purposes, the body having the greatest gravitational effect is planet earth. The further away you get from the centre of gravity of the earth the lower the force, so as you go up the mountain the weight will reduce.
The earth isn’t perfectly spherical because the centrifugal force from its spinning causes the equator to move out, which pulls the poles nearer together. Also the nearer you are to the equator, the greater the centrifugal force on you pulls you away from the earth, so your weight reduces.
To calculate the reduction in weight and to take account of you proximity to the equator you can use the following formula:-
Acceleration due to gravity versus height & latitude is given by:
g= 9.780356 * [1 + 0.0052885*sin²L – 0.0000059sin²(2L)]-0.003086*h
where L is the latitude [degrees] and h [metres] is the height above sea level.
The weight is the mass multiplied by whatever value of g you calculate.
You can find your latitude from Google Earth or a map.
As an example Mount Teide on the Canary Island of Tenerife is 3718m high and latitude 28° 16′ 21″. The nearby beach at Los Cristianos is 0m high and latitude 28° 03′ 00″.
Multiply a 1kg mass by the two values of g to get their weights in newtons, and see how much the weight changes.
mass is always the same, no matter if you were on earth or on the moon. it is defined and never changes.
weight, on the other hand depends on the force of gravity.
gravity on the moon is less than the gravity on the earth, which means you would “weight” less on the moon than here on earth, but your MASS would remain the same (independent of gravity)
So, to answer your question, your weight would change, not your mass.
Hope this helps, good luck!
Mass remains constant. The weight will change if the Acc. due to gravity varies. if we move the body from sea level at the equator to a mountain at the North pole there wll be some minor variation in the acc. due to gravity, otherwise for all practical purposes both the mass and weight remains constant.