Question

1. neptune has a mass of 1.02 x 10²⁶ kg, and a radius of 2.48 x 10⁷ m. assuming you could stand on the surface of neptune, what gravitational field strength would you experience?

Explanation:

Step1: Recall the formula for gravitational field strength

The formula for gravitational field strength \(g\) at the surface of a planet is \(g=\frac{GM}{R^{2}}\), where \(G = 6.67\times10^{- 11}\space N\cdot m^{2}/kg^{2}\) (the gravitational constant), \(M\) is the mass of the planet, and \(R\) is the radius of the planet.

Step2: Substitute the given values into the formula

Given \(M = 1.02\times10^{26}\space kg\) and \(R=2.48\times 10^{7}\space m\), \(G = 6.67\times10^{-11}\space N\cdot m^{2}/kg^{2}\).

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Step3: Calculate the value of \(g\)

$$ g=\frac{6.8034}{6.1504}\times10^{15-14}\approx11.1\space N/kg $$

Answer:

The gravitational field strength is approximately \(11.1\space N/kg\)