If the radius of an atom is 60 pm and the radius of the Earth is 6000 km, by how many orders of magnitude is the radius of the Earth larger than an atom?

1 x 10¹⁷

Explanation:

Given data:

        Radius of the earth  = 6000km

        Radius of an atom  = 60pm

Now, how many orders is the radius of the earth larger than an atom

Solution:

To solve this problem, let us express both quantity as the same unit;

         1000m  = 1km

    6000km  = 6000 x 10³m   =  6 x 10⁶m

    60pm;

            1 x 10⁻¹²m  = 1pm

    60pm  = 60 x  1 x 10⁻¹²m  = 6 x 10⁻¹¹m

Now;

The order:     = 1 x 10¹⁷

explanation:

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so here we know that

now using kinematics

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so speed of the ball will be