Why is weight positive if gravity is negative?

In summary, weight is positive because the equation W = mg only gives the magnitude of the weight, which is always positive regardless of the direction of the weight vector.
  • #1
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Homework Statement


Why is weight positive if gravity is negative?


Homework Equations


W = mg


The Attempt at a Solution


So say there is some weight of an object, and the object's mass is multiplied by the acceleration due to gravity pointing downwards, so the weight becomes negative when the positive mass is multiplied by a negative acceleration. Weight should then be negative, but why is weight always positive?
 
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  • #2
W = mg just gives the magnitude of the weight, which is positive. The direction of the weight vector is downward. (Note that g is a positive constant.) Often when you talk about the weight of something you just mean the magnitude.
 

What is weight and how is it different from mass?

Weight is the measure of the force of gravity on an object. It is different from mass, which is the measure of the amount of matter in an object. Weight can vary depending on the strength of gravity, while mass remains constant.

How is gravity defined?

Gravity is defined as the force of attraction between two objects with mass. It is an essential force in the universe and is responsible for keeping planets in orbit around the sun and objects on Earth from floating away into space.

Why is weight considered positive if gravity is negative?

The terms "positive" and "negative" are used in physics to indicate the direction of a force. In this case, weight is considered positive when it is directed towards the center of the Earth, while gravity is considered negative as it is directed towards the center of the Earth.

How is weight affected by gravity?

Weight is directly affected by the strength of gravity. The stronger the force of gravity, the greater the weight of an object will be. This is why objects weigh less on the moon, where gravity is weaker, than they do on Earth.

Why is it important to understand the relationship between weight and gravity?

Understanding the relationship between weight and gravity is essential for understanding the behavior of objects in the universe. It allows us to predict the motion of objects and design structures that can withstand the force of gravity. Additionally, it helps us understand the concept of weightlessness and its effects on astronauts in space.

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