Respuesta :
Answer:
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;
[tex]PE_G = m \times g \times \Delta H[/tex]
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
[tex]PE_G = m \times 1.6 \times 32 = 51.2 \cdot m[/tex]
For site X
[tex]PE_G = m \times 3.7 \times 16= 59.2 \cdot m[/tex]
For site Y
[tex]PE_G = m \times 1.6 \times 35 = 56 \cdot m[/tex]
For site Z
[tex]PE_G = m \times 3.7 \times 12 = 44.4 \cdot m[/tex]
Hence the site at which the lander would have the greatest amount of gravitational potential energy is X with [tex]PE_G[/tex] = 59.2·m.
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.
[tex]{\text{PE}_{\text G}&= \text{m}\; \times\text g\times \Delta\text H[/tex]
Where,
- g = acceleration due to gravity
- m = mass
- h = height
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:
- Site W:
[tex]{\text{PE}_{\text G}&= \text{m}\; \times\ 1.6\times 32 = 51.2 \text \; \times \text {m}[/tex]
- Site X:
[tex]{\text{PE}_{\text G}&= \text{m}\; \times\ 3.7\times 16 = 59.2 \text \; \times \text {m}[/tex]
- Site Y:
[tex]{\text{PE}_{\text G}&= \text{m}\; \times\ 1.6\times 35 = 56 \text \; \times \text {m}[/tex]
- Site Z:
[tex]{\text{PE}_{\text G}&= \text{m}\; \times\ 3.7 \times 12= 44.4 \text \; \times \text {m}[/tex]
Therefore, the greatest amount of gravitational energy 59.2m is present on-site X.
To learn more about gravitational potential energy follow the given link:
https://brainly.com/question/19768887
