What will be the gravitational force on an object having mass 25 kg?

This gravitational force calculator lets you find the force between any two objects. Read on to get a better understanding of the gravitational force definition and to learn how to apply the gravity formula. Make sure to check out the escape velocity calculator, too!

Newton's law of universal gravitation states that everybody of nonzero mass attracts every other object in the universe. This attractive force is called gravity. It exists between all objects, even though it may seem ridiculous. For example, while you read these words, a tiny force arises between you and the computer screen. This force is too small to cause any visible effect, but if you apply the principle of gravitational force to planets or stars, its effects will begin to show.

One of the most common examples illustrating the principle of the gravitational force is the free fall.

Use the following formula to calculate the gravitational force between any two objects:

F = GMm/R²

where:

F stands for gravitational force. It is measured in newtons and is always positive. It means that two objects of a certain mass always attract (and never repel) each other;
M and m are the masses of two objects in question;
R is the distance between the centers of these two objects; and
G is the gravitational constant. It is equal to 6.674×10-11 N·m²/kg².

Did you notice that this equation is similar to the formula in Coulomb's law? While Newton's law of gravity deals with masses, Coulomb's law describes the attractive or repulsive force between electric charges.

Find out the mass of the first object. Let's choose Earth - its mass is equal to 5.972×1024 kg. You can enter this large number into the calculator by typing 5.972e24.
Find out the mass of the second object. Let's choose the Sun - it weighs 1.989×1030 kg, approximately the same as 330,000 Earths.
Determine the distance between two objects. We will choose the distance from Earth to Sun - about 149,600,000 km.
Enter all of these values into the gravitational force calculator. It will use the gravity equation to find the force.
You can now read the result. For example, the force between Earth and Sun is as high as 3.54×1022 N.

Answer

Verified

Hint:There are two quantities which are to be kept in mind they are mass and the weight. Mass is the amount of matter contained in the body. Units of mass are kg while the unit of weight in newtons.

Complete step by step answer:

Moon is a satellite of the earth. The universal law of gravitation holds everywhere. It is due to the gravitational force of the earth which holds all the bodies. If a body is allowed to fall freely from a certain height than it falls under the influence of gravity and the acceleration of the body is g whose value is 9.8 \[m/{{s}^{2}}\]So, weight on the earth, W=mg, where m is the mass of the bodyWeight of body on the earth, W=\[\dfrac{mg}{6}\]But the mass remains intact in any place in the universe. So, the mass does not change and it remains the same no matter whether the body is on earth or is at the moon or is at the Saturn. Hence the mass remains the same and is 25kg.Hence, the correct option is (A)

Note:The value of g given in the question is misleading. It has no use. Mass is the amount of matter contained in the body. Had the question talked about weight then its value would have changed and the infarct value of g changes from pole to equator.

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I've seen some books use kg for kgf (kilogram-force), even though they shouldn't have conflated them.

But in this case it's not too harmful: if 25 kg means mass, as it should, then it the answer is direct. On the other hand, if 25 kg really means 25 kilogram-force, then the answer is the same under the assumption of standard gravity, because $1\,\text{kgf}$ is by definition $(1\,\text{kg})(9.80665\,\text{m/s}^2)$, the weight of 1 kg under 1 standard gravity.