The definition of weight is easily and often confused with that of the mass. However, weight is not the same as mass.
When you think of mass of an object, think of how much materials the object has.
When you think of weight, think of the gravitational force or downward pull of gravity on an object.
The reason for making a distinction between mass and weight is because gravity is not the same everywhere.
For example, gravity on this earth is about 6 times the gravity on the moon.
Therefore, the weight of an object on earth will be 6 times heavier than the weight of an object on the moon although the object has the same mass.
If an object weight 150 pounds on earth, it would weight about 24.9 pounds on the moon.
It is clear now that an object can have the same mass yet has a different weight.
If you could put the object somewhere in space where there is no gravity, the weight of the object will be 0.
However, if you try to shake the same weightless object in outer space where gravity is 0, it will still be as difficult to shake on this earth where gravity is not 0.
Although weight is the force of gravity on an object, we cannot formulate a definition of weight without the mass.
We need both gravity and mass to come up with a formula.
Here is how to proceed:
1 kg weighs 9.8 Newtons.
It makes sense to use 9.8 because this is the acceleration of objects due to gravity.
2 kg weigh 19.6 Newtons3 kg weigh 29.4 Newtons = 9.8 × 3
1 kg, 2kg, 3kg, and 4 kg represent the mass and 9.8 is the acceleration.
We see that to get the weight, at least for object on this earth, just multiply the mass by the acceleration.a is the acceleration due to the gravity. When it is clear that we are talking about the earth gravity, a = g = 9.8