6.03 Adding Vectors
A boat in a river is moving forward at 10.0 km/h relative to the water with its front end pointed perpendicular to the flow of water. The water in the river is flowing at 3.00 km/h. What is the speed of the boat relative to the river bottom?
10.4 km/h
A plane, starting at some point in its flight, turns and flies 200 mi in a direction of 30º north of east. How much farther north does it end up from where it started its turn?
100 mi
R is a resultant vector that has a direction of 135°. Which pair of vectors shown can give R as a resultant?
Diagram (1)
Three forces, A, B, and C, act on an object simultaneously. The forces have the following x and y components: Ax = 20 N, Ay = -10 N, Bx = 10 N, By = 15 N, Cx = 0 N, Cy = 5 N. What are the components of the net force R?
Rx = 30 N, Ry = 10 N
The vector A is a force, and the vector R is the result of adding a second force vector to it. What must be true of the vector, added to A, that gives R as the resultant?
The direction of the vector is up and to the right.
A worker pushes a large rock to the north while another worker helps by pushing it to the east. If they both exert equal force, in what direction does the rock move?
northeast
When should you express a vector along the x-axis as a negative vector?
when the arrow representing the vector would point toward negative x
