Deshawn made two diagrams to show the Moon in the same position at different times of the year. In his diagrams, he included vie
ws from above (top view) and views from Earth. He says that some of the time the Moon looks bright from Earth, as shown in Diagram A, but other times the Moon looks completely dark from Earth, as shown in Diagram B.
Is Deshawn correct? If he is correct, explain why light on the Moon changes in this way. If he is incorrect, explain how light on the Moon should look in each of his diagrams.
Is Deshawn correct? If he is correct, explain why light on the Moon changes in this way. If he is incorrect, explain how light on the Moon should look in each of his diagrams.
1 answer:
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<h2>GIVEN DATA</h2>
Mass of Rocket = m = 215 kg
Mass of Earth = M = kg
Radius of Earth = R = m
Gravitational Constant = G =
Speed of Rocket = 6.42 km/s
Initial Height of Rocket from Earth's Surface = 307 km = m
Final Height of Rocket from Earth's Surface = 731 km = m
Initial Height from Earth's Centre = =
m
Final Height from Earth's Surface = =
m
(a) Kinetic Energy at Final Height =
(b) Maximum Height of Rocket above Earth's Surface =
Part (a):
As drag air is negligible, energy will be conserved.
ΔE = 0
where, U is the potential energy of the system.
Substituting Values and simplifying,
Part (b):
The rocket will come to rest after reaching the maximum height. Therefore, its final velocity and consequently final kinetic energy will be zero.
Equation (1) will become,
Substituting values and simplifying,
which is the distance from the Earth's centre. To find the height of rocket from Earth's surface, we simply subtract the Earth's radius from above result.