A research satellite of mass 200 kg. Circles the earth in an orbit of average radius (3 R / 2)

step 1 satellite of mass 200 kg circles the surface circles the earth in an orbit of average radius 3 r

A research satellite of mass 200 kg. Circles the earth in...

A research satellite of mass $200 \mathrm{~kg}$. Circles the earth in an orbit of average radius $(3 \mathrm{R} / 2)$ where $\mathrm{R}$ is radius of earth. Assuming the gravitational pull $10 \mathrm{~N}$, the pull on the satellite will be $=\mathrm{N}$
(A) 880
(B) 889
(C) 890
(D) 892

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Key Concepts

Inverse Square Law

The inverse square law is a key concept that explains how the intensity of a force, such as gravity, decreases with the square of the distance from its source. In orbital contexts, this means that as the distance from the Earth increases, the gravitational force experienced by an object decreases by the square of the ratio of the new distance to the Earth's radius.

Gravitational Field Strength

Gravitational field strength is the force per unit mass experienced by an object in a gravitational field. It accounts for the variation of gravitational acceleration with distance and is calculated by dividing the gravitational force by the object's mass. This concept is critical for understanding how gravitational effects change with altitude in orbital paths.

Newton's Law of Universal Gravitation

This law states that every point mass attracts every other point mass by a force acting along the line intersecting both points. The force is directly proportional to the product of the two masses and inversely proportional to the square of the distance between them. This is the fundamental principle used to calculate gravitational forces in orbital mechanics.

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