-With external gravitational field In this second part you are asked to analyze rocket propulsion with the present of gravitational field g. This appears for instance when the rocket is launching from the surface of a planet. (1) Describes why you are not allowed to use the momentum conservation here. (2) Evaluate the speed of the rocket measure by inertial observer on the ground as a function of time v(t) if the speed of the gas propulsion with respect to the rocket is vrel and the burning rate is constant -constant! dt (3) Plot v(t) that you obtained from point (2) above, for three different values of gravitational field (assuming similar initial mass), which is: • 9moon = 1.62 m/s • Searth = 9.81 m/s • 9jupiter = 24.79 m/s in a single plot, if the burn rate is constant = 1500 kg/s. Analyze your result and describes how the speed increases for each situation!
-With external gravitational field In this second part you are asked to analyze rocket propulsion with the present of gravitational field g. This appears for instance when the rocket is launching from the surface of a planet. (1) Describes why you are not allowed to use the momentum conservation here. (2) Evaluate the speed of the rocket measure by inertial observer on the ground as a function of time v(t) if the speed of the gas propulsion with respect to the rocket is vrel and the burning rate is constant -constant! dt (3) Plot v(t) that you obtained from point (2) above, for three different values of gravitational field (assuming similar initial mass), which is: • 9moon = 1.62 m/s • Searth = 9.81 m/s • 9jupiter = 24.79 m/s in a single plot, if the burn rate is constant = 1500 kg/s. Analyze your result and describes how the speed increases for each situation!
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Question
SOLVE THE SECOND QUESTION FROM (1) TO (4)
evaluate the speed as a function of TIME
PLOT V(T)
Transcribed Image Text:Problem Statement
1.
Without external gravitational field
In the first part, you are asked to analyze the rocket propulsion system without any
external forces, such as gravity or air dragging. This situation appears for instance when
rocket is still in the space.
(1) Describes in detail, why you are allowed to use linear momentum conservation
here!
(2) Evaluate the speed of the rocket measure by inertial observer on the ground as a
function of the remaining mass v(m) if the speed of the gas propuision with
respect to the rocket is vrer!
(3) Plot v(m) that you obtained from point (2) above!
(4) Determined analytically at what remaining mass does the speed of the rocket is
maximized!
(5) Determined analytically at what remaining mass does the rocket momentum is
maximized! Interpret your result physically.
(6) Determined analytically at what remaining mass does the rocket kinetic energy is
maximized! Interpret your result physically.
(7) Compare your results from point (4) to (6), why the maximized situation happens
at different remaining mass! Analyze your result.
(8) Derived the thrust force for this case!
II. With external gravitational field
In this second part you are asked to analyze rocket propulsion with the present of
gravitational field g. This appears for instance when the rocket is launching from the surface
of a planet.
(1) Describes why you are not allowed to use the momentum conservation here.
(2) Evaluate the speed of the rocket measure by inertial observer on the ground as a function
of time v(t) if the speed of the gas propulsion with respect to the rocket is vret and the
burning rate is constant =constant!
(3) Plot v(t) that you obtained from point (2) above, for three different values of gravitational
dm
dt
field (assuming similar initial mass), which is:
9moon = 1.62 m/s
9earth = 9.81 m/s
9 jupiter = 24.79 m/s
in a single plot, if the burn rate is constant = 1500 kg/s. Analyze your result and
describes how the speed increases for each situation!
dt
(4) Derived the thrust force for each case!
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