# The acceleration of gravity near the surface of a planet with a radius of 4000 km is 6.25 m / s ^ 2

August 17, 2021 | education

| **The acceleration of gravity near the surface of a planet with a radius of 4000 km is 6.25 m / s ^ 2. Find the first space velocity for this planet.**

To find the value of the first cosmic speed of a given planet, we use the formula: V1 = √ (g * R).

Values of variables: g – acceleration of gravity on a given planet (g = 6.25 m / s2); R is the radius of the planet (R = 4000 km = 4 * 10 ^ 6 m).

Let’s calculate: V1 = √ (g * R) = √ (6.25 * 4 * 10 ^ 6) = 5000 m / s = 5 km / s.

Answer: The first space velocity for a given planet is 5 km / s.

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