Physics 1101 Experiment 2 Pre-Laboratory Assignment
Name and PSID_________________________________ TA___________________
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You must show and explain all work neatly to receive credit. Please show each step for
calculations. YOU MUST TURN IN THIS SHEET to have your assignment graded.
1. A resultant vector is 9.00 units long and makes an angle of 48.0 degrees measured
๐๐๐ข๐๐ก๐๐ โ ๐๐๐๐๐๐ค๐๐ ๐ with respect to the positive ๐ฅ โ ๐๐ฅ๐๐ . What are the magnitude and angle
(measured ๐๐๐ข๐๐ก๐๐ โ ๐๐๐๐๐๐ค๐๐ ๐ with respect to the positive ๐ฅ โ ๐๐ฅ๐๐ ) of the equilibrant vector?
Please show all steps in your calculations (5 pts)
2. Two vectors, ๐จ, and ๐ฉ, are drawn on an ๐ฅ โ ๐ฆ coordinate system, as shown. Vector ๐จ has a
magnitude of 9.00 units, and vector ๐ฉ has a magnitude of 7.00 units.
Find the ๐ฅ โ and ๐ฆ โ ๐๐๐๐๐๐๐๐๐ก๐ of vectors ๐จ and ๐ฉ in the ๐ฅ โ ๐ฆ
system. Compute the magnitude of the resultant in the ๐ฅ โ ๐ฆ coordinate
system.
A second coordinate system, the ๐ฅโฒ โ ๐ฆโฒ system, is rotated 37.0ห with
respect to the ๐ฅ โ ๐ฆ system, as shown. Find the ๐ฅโฒ โ and ๐ฆโฒโ
๐๐๐๐๐๐๐๐๐ก๐ of ๐จ and ๐ฉ in the ๐ฅโฒ โ ๐ฆโฒ system. Compute the magnitude
of the resultant in the ๐ฅโฒ โ ๐ฆโฒ coordinate system. (Hint: Calculate the angle that ๐จ and ๐ฉ made with
respect to the ๐ฅโฒ โ ๐ฆโฒ axes.) (10 pts)
3. Specify the sign (positive or negative) of the ๐ฅ โ and ๐ฆ โ ๐๐๐๐๐๐๐๐๐ก๐ of a vector in each of
the four quadrants (1, 2, 3, and 4) by completing the table. (5 pts)
๐ โ ๐๐๐๐๐๐๐๐๐
๐ โ ๐๐๐๐๐๐๐๐๐
Quadrant 1 (0 โ 90 ๐๐๐๐๐๐๐ )
Quadrant 2 (90 โ180 ๐๐๐๐๐๐๐ )
Quadrant 3 (180-270 degrees)
Quadrant 4 (270-360 degrees)
Quadrant 3 (180 โ270 ๐๐๐๐๐๐๐ )
Quadrant 4 (270 โ360 ๐๐๐๐๐๐๐ )