The strength of the gravitational field is dependent upon the mass of the planet

Question

The strength of the gravitational field is dependent upon the mass of the planet you are standing on. If you are on the moon, which is 1.2% the mass of Earth, the value of the gravitational field is only 17% of that you would feel here on Earth. You are on an alien planet. You drop a small rock so that air-resistance can be ignored. It hits the ground with a speed of 16.0m/s after a time of 1.1s. What is the value of the gravitational field in N/kg on this planet using the flat-earth approximation?

Explanation / Answer

Using v = u + at

16 = 0 + a*1.1

a = 14.54 m/s^2

N = kg.m/s^2

so N/kg = m/s^2

so field strenth = 14.54 N/kg

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