SOLAR SYSTEM

UNIVERSE

SATELLITESICY BODIES

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The gravitational field strength at the center of the Earth is
A
the same as on the surface
B
smaller than on the surface
C
zero
D
large
Explanation: 

Detailed explanation-1: -Explanation: The force due to the upper half of the Earth cancels the force due to the lower half at the center of the Earth. Similarly, any force due to any portion of the Earth at its center will be cancelled by the portion opposite to it. As a result, the gravitational force at the center of anybody will be zero.

Detailed explanation-2: -For a point on the surface of Earth, r=R. I=GMR2=g=9.8m/s2. For a point at the centre of Earth, g=0, so gravitational intensity at the centre of Earth is zero.

Detailed explanation-3: -geff is zero at the centero of the earth and thus the potential energy at the center is zero, As the mass passes through the center there is zero mass there to have an effective attraction that will create potential energy, so at the center the potential energy is zero.

Detailed explanation-4: -Universal gravitation A point mass is one that has a radial field, like that of the Earth. Although the Earth is a large object, on the scale of the Universe it can be considered to be a point mass. The gravitational field strength at its centre is zero, since attractive forces pull equally in all directions.

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