Four landing sites are proposed for a lander. Data about the sites are listed in the table.
At which landing site would the lander have the greatest
amount of gravitational potential energy?
Landing Site
w
W
х
Y
Z
Height above
Surface (m)
32
16
35
Acceleration Due to
Gravity (m/s)
1.6
3.7
1.6
3.7
ОХ
OY
12
N

Gravitational energy is the power stored in an object due to the intensity of gravity or because the article is located vertically.

The correct answer is:

The site at which the lander would have the greatest amount of gravitational potential energy is X.

The correct explanation for site X is:

The gravitational energy can be calculated as the product of mass, gravitational field and height.

Where,

Given,

Landing site        Height above surface              Gravity

    W                                    32                                    1.6

    X                                     16                                     3.7

    Y                                     35                                     1.6

    Z                                     12                                      3.7

We can calculate Gravitational energy for all the sites as follows:

Therefore, the greatest amount of gravitational energy 59.2m is present on-site X.

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The site at which the lander would have the greatest amount of gravitational potential energy is X

Explanation:

The formula for gravitational potential is given as follows;

Where:

g = Acceleration due to gravity

m = Mass of the lander

ΔH = Height above surface

Landing site --- Height above surface --- Acceleration due to gravity

W                        32                                    1.6

x                          16                                    3.7

Y                         35                                    1.6

Z                         12                                     3.7

Therefore, we have;

For site W

For site X

For site Y

For site Z

Hence the site at which the lander would have the greatest amount of gravitational potential energy is X with = 59.2·m.

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