Question

if an astronaut weighs 881 n on earth and only 160 n on the moon. what is his mass on earth? kg use g = 9.81 m/s² on earth and do not include units in your answer. enter the answer

Explanation:

Step1: Use the weight formula

Weight \(W = mg\) (where \(W\) is weight, \(m\) is mass, \(g = 9.8\ m/s^{2}\) on Earth).
Given \(W = 881\ N\) on Earth and \(g=9.8\ m/s^{2}\).

Step2: Solve for mass \(m\)

From \(W = mg\), we can express \(m=\frac{W}{g}\).
Substitute \(W = 881\ N\) and \(g = 9.8\ m/s^{2}\) into the formula: \(m=\frac{881}{9.8}\).

Answer:

\(89.9\) (approximate value after calculating \(\frac{881}{9.8}\approx89.9\))