Question

1. determine the gravitational field on the surface of mars. mars mass is 6.39 x 10^{23} kg, and its radius is 3,389,500 m.

348 n/kg
1.26 x 10^{7} n/kg
2.56 n/kg
3.71 n/kg

Explanation:

Step1: Recall the formula for gravitational field

The formula for gravitational field \(g\) on the surface of a planet is \(g = \frac{GM}{R^{2}}\), where \(G = 6.67\times 10^{- 11}\ \text{N}\cdot\text{m}^{2}/\text{kg}^{2}\) (universal gravitational constant), \(M\) is the mass of the planet, and \(R\) is the radius of the planet.

Step2: Substitute the given values

Given \(M = 6.39\times 10^{23}\ \text{kg}\) and \(R=3389500\ \text{m}=3.3895\times 10^{6}\ \text{m}\)

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Answer:

C. \(2.56\ \text{N/kg}\)