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Q.

An apple falls from a tree because of gravitational attraction between the earth and the apple. If $F_{1}$ is the magnitude of the force exerted by the earth on the apple and $F_{2}$ is the magnitude of the force exerted by the apple on the earth, then

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a

F_{1}

is very much greater than

F_{2}

b

F_{2}

is very much greater than

F_{1}

c

F_{1}

is only a little greater than

F_{2}

d

F_{1}

and

F_{2}

are equal

answer is D.

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Detailed Solution

If

F_{1}

is the magnitude of the force exerted by the earth on the apple and

F_{2}

is the magnitude of the force exerted by the apple on the earth, then

F_{1}

and

F_{2}

are equal.
The law of gravitation states that every object attracts every other object on the earth with force directly proportional to the masses of both objects and inversely proportional to the square of the distance between them. It is given by the formula,

\Rightarrow F = G \frac{m 1 m 2}{r^{2}}

Where

G

is the gravitational constant,

m_{1}

and

m_{2}

are the masses of the objects, and

r

is the distance between the objects.
The force of attraction between any two same objects is equal. Thus,

F_{1}

and

F_{2}

are equal.

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