1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: What is the asteroid's acceleration in unit-vector notation?

  1. Oct 2, 2007 #1
    Three astronauts, propelled by jet backpacks, push and guide a 150 kg asteroid toward a processing dock, exerting the forces shown in Fig. 5-31.
    a 32N vector coming from the origin into the 1st corridor at 30 degrees, 55N straight out to the right and a 41N vector running from the origin to the 4th corridor at 60 degress
    Figure 5-31

    (a) What is the asteroid's acceleration in unit-vector notation?
    m/s2 i + m/s2 j

    (b) What is the asteroid's acceleration as a magnitude and direction?
    ° (counterclockwise from the +x axis is positive)

    i have tried finding the i and j hat values for each specific vector and then adding and subtracting but i cant seem to get the right answer
    27.71i+55i+20.5i= i hat of the asteroid
    16j+0j-35.57j= j hat of the asteriod
  2. jcsd
  3. Oct 2, 2007 #2


    User Avatar
    Homework Helper

    what you've written is the force in the x and y directions. did you divide by mass to get acceleration?
  4. Oct 2, 2007 #3


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    With questions about vectors such as this you are really just using trigonometry. You know the magnitude of the vector and the direction as an angle from whatever axis, therefore you can work out the lengths of the other two sides using trigonometry. The magnitude of the vector will of course be the length of the hypotenuse.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook