The acceleration due to gravity at the surface of a planet depends on the planet

Question

The acceleration due to gravity at the surface of a planet depends on the planet's mass and size; therefore other planets will have accelerations due to gravity different from 9.8 m/s2. Imagine an astronaut stands on an alien planet, which has no atmosphere, and throws a rock with a speed of 7.55 m/s in the horizontal direction, releasing it at a height of 1.40 m above the surface of the planet. The rock hits the surface a horizontal distance of 8.30 m from the astronaut. Find the magnitude of the acceleration due to gravity on this alien planet.

Explanation / Answer

We have X = UT = U *sqrt(2H/g); so g = (U/X)^2 *2*H = (7.55/8.3)^2 * 2*1.4 = 2.317 m/s^2

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