A spherical planet far out in space has a mass `M_(0)` and diameter `D_(0)`. A particle of mass m falling freely near the surface of this planet will experience an accelertion due to gravity which is equal to

Explanation

To find the acceleration due to gravity experienced by a particle of mass \( m \) falling freely near the surface of a spherical planet with mass \( M_0 \) and diameter \( D_0 \), we can follow these steps:

### Step 1: Identify the relevant formula for gravitational force
The gravitational force \( F \) acting on the particle of mass \( m \) due to the planet can be expressed using Newton's law of gravitation:
\[ F = \frac{G M_0 m}{R^2} \]
where \( G \) is the universal gravitational constant, \( M_0 \) is the mass of the planet, \( m \) is the mass of the particle, and \( R \) is the radius of the planet.
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