Question

a spaceship lands on the moon. the ship feels a normal force of 81n. the ship has mass of 50kg? what is the acceleration of gravity on the moon? body diagram given unknown 81n equations substitute/solve

Explanation:

Step1: Analyze forces

When the spaceship lands on the moon, the normal force \(F_N\) balances the gravitational force \(F_g\). So \(F_N = F_g\).

Step2: Recall gravitational force formula

The formula for gravitational force is \(F_g=mg\), where \(m\) is mass and \(g\) is acceleration due to gravity.

Step3: Solve for \(g\)

Since \(F_N = F_g\), we have \(F_N=mg\). Given \(F_N = 81N\) and \(m = 50kg\), we can solve for \(g\) by \(g=\frac{F_N}{m}\).
Substituting the values: \(g=\frac{81}{50}=1.62m/s^{2}\)

Answer:

The acceleration of gravity on the moon is \(1.62m/s^{2}\)