Hello,

Could someone check my answer and let me know please? I'm quite certain that it's correct but like to double check first. Thank you.

Answer: gm=4.36 m s (in 3 sig-figs). Explanation: Given: Weight of the lander on Earth We=36 N Weight of the lander on the Moon Wy =16 N Gravity on Earth's surface gz = 9.81 m s To find the acceleration due to gravity on the Moon. I can use the relationship between the weight, the mass, and acceleration due to gravity. The weight of an object is given by this formula: weight = mass acceleration due to gravity. The weight of the lander on Earth can be found by this formula: We=m-=g: Where, m represents the mass of the lander, which is constant, and g gives the acceleration due to Earth's gravity. ge=981ms? | can solve the mass of the lander on Earth. 5 981ms32 and knowingthat IN=1kgm s~ __36kgx ms? 981lms3 & ={ms?.(ms)} ={ms?. m!s?} = {m1+{-1|5{-21+2} This is the mass of the lander, which remains the same on Earth and the Moon, only the weight of the lander changes. The weight of the lander on the moon can be find using this formula: WM = m x 9M Where gw is the acceleration due to gravity on the moon. So, rearranging the above equation to find the acceleration due to gravity on the moon: WM gM = Adding the values, gu: 16 N 3.67 kg again, knowing that 1 N = 1 kg m s? 16 kg xms-] 3.67 kg = {kg . (kg)-1} = {kg . kg }} = {kg1+(-1} = {kg'} = {1} 16 Xms-3 3.67 = 4.35967... m s-2 Therefore, the acceleration of the lander due to gravity on the moon is approximately 4.36 m s in three significant figures.A scientist is investigating a proposed mission to the moon of another planet, in which an observation satellite will orbit the moon. As part of its mission, the satellite will drop a small lander onto the moon''s surface. On Earth, the lander weighs 36 N. You are reminded that one newton is 1 kg m s-2. On the moon the lander will weigh 16 N. What is the acceleration due to gravity on the moon? On Earth take, gE =9.81 ms2. Use the appropriate number of significant figures