Question

An Astronaut weighs 27 pounds on the moon. How much does the astronaut weigh on Earth?

Please explain how you get the answer.

Answer 1

The gravity on the moon is 0.1654 of that on earth (0.1654 g)

Therefore, the weight on the moon can be expressed as\[W_m = m \cdot {g_{moon} \over g_s}\]where \(g_s\) is the standard gravity on earth.
And on earth as,\[W_e = m \cdot 1\]

Realize that\[{g_{moon} \over g_s} = 0.1654\]

Since the masses are equal on both the earth and moon, \[W_m = W_e {g_{moon} \over g_s} \rightarrow W_e = W_m {g_s \over g_{moon}} \rightarrow W_e = W_m {1 \over 0.1654}\]

Answer 2

thank you and u did a lot of hard work just for me?

Answer 3

You're welcome! I it directly for you, but everyone can benefit from it.

Answer 4

thanks sooo much eashmore and I mean it :D