Question

The weight of an astronaut plus his space suit on the Moon is only 260 N.how much is the weight on earth assuming the gravity on the moon is 1.67?what isthe mass of the astronout and his space suit on the moon, in kilograms?what isthe mass of the astronout and his space suit on the earth, in kilograms?

Answer 1

The mass of astronaut and spacesuit on moon is,

`m_{}=(W_m)/(g_m)`

Plug in the known values,

`\begin{gathered} m_{}=\frac{260\text{ N}}{1.67m/s^2}(\frac{1kgm/s^2}{1\text{ N}}) \\ \approx155.7\text{ kg} \end{gathered}`

The weight of astronaut and his space suit on earth is,

`W=mg`

Substitute the known values,

`\begin{gathered} W=(155.7kg)(9.8m/s^2_{})(\frac{1\text{ N}}{1kgm/s^2^{}}) \\ =1525.86\text{ N} \end{gathered}`

Thus, the weight of astronaut and his spacesuit on earth is 1525.86 N.

The mass of astronaut as calculated in above explanation on earth and moon is same which is 155.7 kg.