Four landing sites are proposed for a lander. Data about the sites are listed in the table.A 3 column table with 4 rows. The first column is labeled landing site with entries W, X, Y, Z. The second column is labeled height above surface in meters with entries 32, 16, 35, 12. The last column is labeled acceleration due to gravity in meters per second squared with entries 1.6, 3.7, 1.6, 3.7.
At which landing site would the lander have the greatest amount of gravitational potential energy?
A. W
B. X
C. Y
D. Z
Answers
Answer:
B. X.
Explanation:
To determine which landing site would have the greatest amount of gravitational potential energy, we need to consider the height above the surface and the acceleration due to gravity at each site.
Gravitational potential energy is given by the formula:
Gravitational potential energy = mass x acceleration due to gravity x height
In this case, the mass of the lander is not provided, but since it is the same for all the sites, we can ignore it for the purpose of comparison. Therefore, we only need to consider the acceleration due to gravity and the height above the surface.
Looking at the table, we can see that at site X, the height above the surface is 16 meters, and the acceleration due to gravity is 3.7 meters per second squared. This means that at site X, the lander would have the highest amount of gravitational potential energy compared to the other sites.
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