Hello,

Would someone let me know if I answer correctly, please? (Sig-figs, exponents etc.) Thank you

Answer: gm ~4.36 m s2 (in 3 sig-figs). Explanation: Knowing the weight of the lander on earth We =36 N and the weight of the same lander on the moon Wu =16 N To find the acceleration due to gravity on the moon, I can use the relationship between weight, mass, and acceleration due to gravity using this formula: weight = mass x acceleration due to gravity. The weight of the lander on earth can be find by the formula: We=muxge Where m represents the mass of the lander, which is constant, and ge gives the acceleration due to Earth's gravity. Since ge: =981 ms? So to find the mass of lander on Earth, m: Wg T 36N ~ 981ms2 and knowing that 1 N=1kgm s? __36kgxms? ~ 981ms2 =ms?2.(ms?2)l =ms2.mls? ml+C1) g-2)+2 bl =k _ 36kg ~ o8l =3.67kg Therefore, the mass of the lander on earth is approximately 3.7 kg in two significant figures. The mass of the lander remains the same on earth and the moon, only the weight of the lander changes. So, the weight of the lander on the moon can be find using this formula: Wy=mxgm Where gu is the acceleration due to gravity on the moon. So, rearranging the above equation to find the acceleration due to gravity on the moon: W, gu= Adding the values, gu: 16N 367kg and knowing that 1 N=1kgm s? __ 16kgxms 2 ~ 367kg =kg. (kg)*! =kg.kg! = kgl+(D) = kgt =1 __ 1l6xms? 367 =4.35967..m s2 Therefore, the acceleration of the lander due to gravity on the moon is approximately 4.36 m s2 in three significant figures. (But should this be 4.4 m s in 2 sig-figs?) 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