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Memory recall Newton's second law of motion: force = mass multiply by acceleration. This time the force is equal to weight. Therefore weight = mass x earth's gravity acceleration constant.
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Weight in Newton, Answer
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Kg, mass of an object
m/sec2
earth's gravitational constant
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Point your cursor to number 5. Then raise the kilogram value to six (6). How much weight is added by increasing the mass by 1 kilogram? Repeat the process by decreasing the mass by 1 kilogram? What generalization can you make based on your observation about the relationship of the weight in Newton and its mass in kilogram.
In mathematics a relationship is denoted by the word function and it is represented mathematically by the letter f(x) read as function of x.
The relationship of (weight) is directly proportional to its mass ; Writing the generalization in mathematical equation it becomes f(x) ∞ m ; the infinity ∞ symbol represents the wording "directly proportional to" ; where the variable x = represents the weight ; m = represents the mass ; 9.81 = proportionality constant also known as the earth's gravitational constant. This value is different from moon's gravitational constant (1.622 m/s2).
Writing the above generalization in equation format, it becomes f(x) = 9.81*m , which is the formula to calculate the weight of any object on earth's surface in Newton.
Mathematical equation is actually a summary of the observation or experimentation of mathematicians and scientist of the past and present. Some of them took many years to generalize their discovery into mathematical formula or equation. This knowledge should move us to study each variables in any equation. What are the physical quantities these variables are representing? What are the limits they observed in their experiment? What assumptions are they using in their experiment? Those are few questions that we should always check before using any mathematical equations.
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Given the weight in N
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calculate the mass of an object in kg.
in earth's gravitational field of m/sec2
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Given the weight in N
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mass of an object in kg
calculate the pull of the earth's gravitational field m/sec2 on the object
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