Review Q #4 (Motion in Two/Three Dimensions)

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Homework Help Overview

The discussion revolves around a problem involving the motion of a spacecraft, specifically the "Solar Sail I," which is launched from the international space station. The spacecraft's initial velocity and the angle of acceleration due to sunlight pressure are key elements of the problem, which falls under the subject area of motion in two or three dimensions.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants express confusion regarding the direction of the radiation from the sun and how it relates to the spacecraft's trajectory. Some suggest creating a figure to visualize the problem, while others explore the implications of setting the spacecraft's direction along the x-axis. There is also discussion about the use of relative velocity formulas and the components of velocity and acceleration.

Discussion Status

The discussion is active, with participants sharing their interpretations and seeking clarification on the angles and components involved. Some guidance has been offered regarding the interpretation of the initial velocity and acceleration, but multiple interpretations of the problem setup are still being explored.

Contextual Notes

Participants note the challenge of understanding the problem due to its complexity and the potential need for visual aids. There is mention of the spacecraft's velocity being relative to the space station and the assumption that sunlight rays can be treated as parallel.

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Homework Statement


The "Solar Sail I" experimental spacecraft is launched from the international space station with an initial velocity of 12 m/sec in a direction that makes a 120 angle with respect to the direction of radiation coming from the sun. Measurements show that an acceleration of 0.5 m/sec is imparted to the spacecraft by the pressure of sunlight pushing against its soar sail. Calculate the time taken for the spacecraft speed to increase 100 m/sec.

Homework Equations


Vx = VoCosAo
Vy = VoSinAo - gt


The Attempt at a Solution


I don't get what direction the radiation is coming in, no idea where to start?
 
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TeenieWeenie said:

The "Solar Sail I" experimental spacecraft is launched from the international space station with an initial velocity of 12 m/sec in a direction that makes a 120 angle with respect to the direction of radiation coming from the sun.

The Attempt at a Solution


I don't get what direction the radiation is coming in, no idea where to start?


Read the problem text again and make a figure.
 
If I set the direction of the spacecraft along the x-axis in the west direction, would that mean the angle is 30 degrees north of west which would result in a 120 degree angle for the sun?
 
It looks OK.


ehild
 
I think I'm supposed to use the relative velocity formulas?
bolded = vector
VP|A=VP|B+VB|A ?

This is probably the hardest one for me to comprehend :(
 
I think that the velocity of the spacecraft is given with respect to the Space Station which is considered an inertia system. You have a specific direction: that of the Sun. The Sun is very far away so its rays can be considered parallel, as shown in the attachment. The motion of the spacecraft is like that of a projectile. I hope the problem was meant in this way but I may be wrong.

ehild
 

Attachments

  • spacecraft.JPG
    spacecraft.JPG
    6.1 KB · Views: 451
That's the way I was picturing it.
Is it similar to a plane flying in crosswind?
That's the only thing I can think of :X which is in the relative velocity section.
The example/figure/diagrams also look similar.
I'm not too strong in the relative velocity section :(

Can anyone give some more input on this? This is the last problem I need to understand :)
 
Do not worry about relative velocity. You are given the initial velocity and the acceleration. The initial velocity has both horizontal and vertical (or westward and northward) components the acceleration is horizontal (westward)ehild
 
So which angle would I use for the formulas?
60 degrees ? or the entire 120 degrees?
 
  • #10
Do according to the picture. As you need the magnitude of the components, use 60 degree.
 

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