Question

1. you have a mass of 55 kg and you have just landed on one of the moons of jupiter where you have a weight of 67.9 n. what is the acceleration due to gravity, g, on the moon you are visiting?

a. .810m/s²
b. 1.23m/s²
c. 539m/s²
d. 3735 m/s²

Explanation:

Step1: Recall the formula for weight

The weight \( W \) of an object is given by the formula \( W = mg \), where \( m \) is the mass and \( g \) is the acceleration due to gravity.

Step2: Rearrange the formula to solve for \( g \)

We can rearrange the formula \( W = mg \) to solve for \( g \) by dividing both sides by \( m \). So, \( g=\frac{W}{m} \).

Step3: Substitute the given values

We are given that \( W = 67.9\space N \) and \( m = 55\space kg \). Substituting these values into the formula for \( g \), we get \( g=\frac{67.9}{55} \).

Step4: Calculate the value of \( g \)

\( \frac{67.9}{55}=1.2345\cdots\approx1.23\space m/s^{2} \)

Answer:

b. \( 1.23m/s^{2} \)