vector hw

The following problems involve vector addition.

1.  You're on a people mover, which itself is moving 3 m/s to the right.

a.  If you run at 2 m/s to the right, what will be your speed relative to an outside observer not on the people mover?

b.  How should you move to "stay in place?"

c.  If you run at 4 m/s to the left, what will be your speed relative to an outside observer not on the people mover?


2.  Two ropes are attached to a large boulder.  One rope is being pulled with a 50 lb force to the East.  Another rope is being pulled with a 75 lb force South.

a.  What is the net force on the boulder?

b.  What angle does this net force make with respect to East?


*3.  A small airplane is flying due SouthEast at 70 m/s.  It is hit by a wind (15 m/s, due South).

a.  Draw this problem.

b.  Assuming that these vectors add concurrently (same place, same time), what will be the resultant vector - magnitude and angle.  You may need to use the law of cosines and/or law of sines.


*4.  Consider a 100 lb force vector, at an angle of 30-degrees with respect to horizontal.  What part of this vector can be considered to be horizontal and what part is vertical?  This is a little tricky, breaking a vector into components.  Make a triangle and set up sin and cos relationships for the vector/triangle.


* these are a wee bit tricky.  Do try them, though.