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Yes! If we think of the large scheme of things beyond the massive body that we call home, earth, we find that two equal masses having the same weight is a very special case. The situation of equal masses having different weights is actually more ubiquitous in the universe. weight is a measure of the gravitational attraction of an object to a very massive object such as a planet. If you buy two 1 kg basketballs they both have the same mass. you can now place these balls on any massive body in the solar system (an asteroid, the moon, Jupiter, earth, etc.). In any situation the weight of the ball is given by the following equation:
F=GmM/d^2
G is the gravitational constant, 6.673*10^-11
m is the mass of the Basketball
M is the mass of the larger body
d is the distance between the ball and the center of the massive body
The weight of basket ball 1 is given by: F1=Gm1M1/d1^2
The weight of basketball 2 is given by: F2=Gm2M2/d2^2
In the special case when these forces are equal to each other (F1=F2=F) and when the masses of the basketballs are also equal to each other (m1=m2=m) we have the following:
GmM2/d2^2=GmM1/d1^2.
We can now simplify the equation by canceling out the "Gm" on each side.
M2/d2^2=M1/d1^2
This equation means that two basketballs will have the same weight only when the ratio of the mass of the large body that they are attracted and the square of the distance between the basketballs and the center of the massive body are the same for both balls. This tells us three things:
1) If two objects with the same mass are on different massive bodies (e.g. the earth vs the moon) than their weights will be different so long as the ratio M2/d2^2 on one large body (e.g. the earth) is not equal to the ratio (M1/d1^2) on the other large body (e.g. the moon)
2) If two objects of equal mass are on the same large body (e.g. earth), then they will have different weights if the distance between the objects and the center of the large body (earth) are different for both objects. This means that a basket ball on top of mount Everest weighs just a bit LESS than a basketball in the dead sea basin.
3) If two objects of equal mass have the same distance to the center of the massive bodies that attract them, then they have different weights unless the masses of both of the large bodies are the same.
Note: for simplicity the massive bodies in this discussion were assumed to have a homogeneous density throughout their volumes. If this were not the case then their would be an even larger number of situations for which two small masses can have different weights.
Wiki User
∙ 12y ago
Wiki User
∙ 14y agoYes. A heavier mass can be balanced by a lighter one with a lever. Give me a lever long enough and a place to put it and I can move the world.
Wiki User
∙ 12y agoYes, that is possible, if the small object is denser than the larger object. For example, you could easily have a small iron object that has more mass than a larger Styrofoam object.
Wiki User
∙ 15y agoYes, on a fulcrum.
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Would an object with a larger mass have more kinetic energy than an object with a smaller mass?
Maybe and maybe not. It depends on the speed of the two objects. A small object moving very fast might have more kinetic energy than a large object moving slowly.
Is weight affected by mass?
Yes, the larger the mass the more the object is going to weigh.
How can an object with a large mass have the same acceleration as a an object with an small mass?
The large mass can have proportionately more force applied to it than to the smaller mass.
What is the relationship between the mass of an object and it overall size?
No direct relationship. There are small cotton balls that have less mass than battleships,and there are large blocks of styrofoam that have less mass than small stones.All you can say for sure is that if you have two chunks of the same substance,then the larger one has more mass.
What does greater mass result in?
Greater mass results in greater gravitational force. This means that the larger an object is, it requires more effort for movement.
Does the density of an object depend on its size?
The density of an object is directly correlated with the amount of mass contained in the object. For example, a small object containing a large amount of mass has more density than a larger object with a smaller amount of mass.
Would an object with a larger mass have more kinetic energy than an object with a smaller mass?
Maybe and maybe not. It depends on the speed of the two objects. A small object moving very fast might have more kinetic energy than a large object moving slowly.
Does a large object always have a greater mass than a small object?
Yes , because a large object takes up more space than a smaller object larger object has more space inside it. It will depend on if the ball is flat.
Is weight affected by mass?
Yes, the larger the mass the more the object is going to weigh.
How does object volume affect buoyancy?
If the mass stays the same, then when an object gets larger, its density decreases. The larger density=the more bouyancy
How does the mass an object affect it acceleration?
When an object is falling in a gravity field, its mass does not affect its acceleration. If under the influence of friction then it takes more energy to accelerate it the larger mass it has, here on Earth. The larger the mass the more potential it has to do work if it is above the surface of the earth than a smaller mass. But in turn, to get it to the higher point more work must be done for a larger mass than a smaller mass.
How can an object with a large mass have the same acceleration as a an object with an small mass?
The large mass can have proportionately more force applied to it than to the smaller mass.
The greater the mass of an object the greater. is?
The greater the mass of an object the greater it's inertia The greater the mass of an object the greater it's inertia The greater the mass of an object the greater it's inertia
What is the relationship between the mass of an object and it overall size?
No direct relationship. There are small cotton balls that have less mass than battleships,and there are large blocks of styrofoam that have less mass than small stones.All you can say for sure is that if you have two chunks of the same substance,then the larger one has more mass.
Why does the area of the base affects stability?
An object is stable if the centre of mass of the object is above the base area. A small perturbation of the object is more likely to push the centre of mass outside the base area if it is small.
Why is the volume data placed on the x axis and the mass on the y axis?
it is easier to see that when the volume of an object is so and so, it is this mass. because an object with more mass could have less volume than an object with larger volume.
The more mass an object has the harder it is to change its acceleration?
Because of air friction, the more physical space that an object takes up, the more power the object will need to move, this is because of the way air forces friction onto the moving object, therefore a small car/vehicle will have less air friction than a larger vehicle with more surface area
