Question

1. an astronaut has a mass of 68-kg. what is the acceleration due to gravity on the moon, if her weight is 110.16-n?

Explanation:

Step1: Recall the formula for weight

The formula relating weight (\(W\)), mass (\(m\)), and acceleration due to gravity (\(g\)) is \(W = m \times g\). We need to solve for \(g\), so we can rearrange the formula to \(g=\frac{W}{m}\).

Step2: Substitute the given values

We are given that the mass \(m = 68\space kg\) and the weight \(W = 110.16\space N\). Substituting these values into the formula \(g=\frac{W}{m}\), we get \(g=\frac{110.16}{68}\).

Step3: Perform the division

Calculating \(\frac{110.16}{68}\), we find that \(g = 1.62\space m/s^2\).

Answer:

The acceleration due to gravity on the moon is \(1.62\space m/s^2\).