व्याघ्र बीजगणित कॅल्क्युलेटर

बडा, वजन, आणि गुरुत्वाकर्षण ह्या घटकांची मागणी आपल्या आघारीच्या वर्तनांची व्याख्या करतो आणि उनिव्हर्समधील ह्या समाधानांची समज प्राप्त करतो.

बडा
बडा ह्या ह्या औजार किंवा देहाच्या मागणीनुसार औजार किंवा देह वरील जाल्यावरील प्रतिरोधाची माप आहे. औजार किंवा देहाचा बडा किती असेल तितके जाल्यावरील प्रतिरोधावर कितीतरी प्रभाव होत नाही. उदाहरणार्थ, खाली सूटकेस पूर्ण असलेल्यापेक्षा उठवायला सोपे असते कारण त्यातील पदार्थ कमी असते आणि म्हणूनच त्याचा बडा कमी असतो. त्याचप्रमाणे, उतरत असलेल्या टेनिसच्या बॉलपेक्षा उतरत असलेल्या खडकाचे थांबवणे सोपे असते कारण खडक म्हणजेच अधिक पदार्थ आणि म्हणूनच टेनिसच्या बॉलपेक्षा अधिक बडा असतो.

औजार ह्या ह्या देहाच्या स्थान, वेग अथवा आकारात बदलणे, जर पदार्थ जोडलेला किंवा काढलेला नसेल, तर बडा संपूर्णपणे चांगला राहतो. म्हणजे, पाण्याची बालून तुमच्या मित्राला फेकली. The balloon changes position, shape, and movement, but, as long as no water escapes, it retains the same mass. If you decided to add or remove water, you'd be increasing or decreasing its mass.

The official unit for mass is Kilograms.

Gravity
Newton's third law of motion states that two objects or bodies that are interacting apply equal forces to one another in opposite directions. According to the universal law of gravitation, this occurs with every object in the universe — every object in the universe with mass attracts every other object with mass. The amount of attraction between objects depends, however, on the mass of the objects and the distance between them. As mass increases, gravity increases linearly. As the distance between two objects increases, the gravitational force between them decreases exponentially (raised to a power of $$2$$). This means that if the mass of an object increases by a factor of $$4$$, the force of gravity acting on it would also increase by a factor of $$4$$. If the distance between two objects increases by a factor of $$4$$, the force of gravity acting on them would decrease by a factor of $$16$$ ($$4$$ to the power of $$2$$).

This relationship can be expressed as the following equation:
$$F\approx \frac{Mm}{r^2}$$
$$F$$ represents the force of gravity, which is measured in meters per second squared.
$$M$$ represents the mass of a planet.
$$m$$ represents the mass of an object.
$$r$$ represents the distance between the center of an object and the center of a planet.

Near the Earth's surface, the acceleration of gravity is approximately 9.81 m/s2 (32.2 ft/s2). This means that if we ignore the effects of air resistance, the speed of an object falling freely will increase by about 9.81 meters per second every second.

Weight
Weight is a force that results from gravity acting on a massive object or body (in this context, "massive" does not refer to size, but rather an object or body that has mass) due to the presence of a second massive object or body, such as a planet. The center of each massive body is essentially pulling the center of the other toward itself, creating the force we call weight. For a more detailed description of this phenomenon, see the "Gravity" section above.

Because the mass and, therefore, gravity of each planet in our solar system is different, there are no two planets in our solar system on which your weight would be the same. In other words, your weight on Jupiter would be quite different from your weight on Saturn, and your weights on Jupiter and Saturn would be quite different from your weight on Earth! Your mass on all three, however, would stay the same.

Additionally, we often use the terms "mass" and "weight" interchangeably, when in reality they are actually quite different! For example, when someone has lost or gained weight they have really lost or gained mass in the form of fat or muscle. This increase or decrease in mass results in a proportional increase or decrease in the gravitational force acting on the person, and these two forces together result in what we think of as weight.

The official unit for weight is Newtons.

Mass - Gravity - Weight connection
The connection between mass, gravity, and weight is that weight measures the degree to which a gravitational force is acting on a massive body or object (in this context, "massive" does not refer to size, but rather an object or body that has mass).

This is shown by the equation:
$$w=m·g$$
$$w$$ represents weight (in Newtons)
$$m$$ represents mass (in kilograms)
$$g$$ represents gravity (which equals acceleration due to gravity - meters per second squared)

Weight on a planet is usually measured on its surface, and each planet has its own surface gravity. Earth's surface gravity is approximately 9.81 m/s2. This means that on earth's surface, a 1 kg object weighs 9.81 N.

Note: $$w$$ sometimes appears as $$f$$ (force) and $$g$$ sometimes appears as $$a$$ (acceleration due to gravity).

Abbreviations and Conversions
LBS or lb is the abbreviation of pound.
1lb = 450 gr / 0.45 kg
1 kg = 2.204 lb