1.
Make a sketch to show the vectors for an airplane traveling at 220 miles per hour at an angle of 31° from the wind.
A.
B.
C.
D.
Hint
2.
Find the direction of the resultant vector for the diagram.
A.
60°
B.
18.4°
C.
71.6°
D.
55°
Hint
3.
Find the magnitude of the resultant vector that is the sum of the two vectors shown.
A.
80.1
B.
124
C.
59
D.
165.2
Hint
4.
In physics, you can determine how much force with which an object is sliding down a frictionless incline by adding the gravitational force vector and the ''normal force'' vector. The normal force vector is always directed up out of the incline perpendicular to it (90° more than the measure of the incline). The magnitude
m
of the normal force can be calculated by
m
=
f
cos
, where f is the gravitational force and
is the angle measure of the incline. If a gravitational force (always straight down) of 50 N is being exerted on an object on a 25° incline, what is the magnitude of the force with which it is sliding down the incline?
A.
45.3 N
B.
50 N
C.
93.1 N
D.
21.1 N
Hint
5.
If José pushes a cart horizontally, exerting a horizontal force of 0.5 N up a 45° incline so that the cart moves 3 m, how much work has José done on the cart? A joule (J) is the SI unit for work or energy. 1 J = 1 N ˇ 1 m
A.
J
B.
J
C.
J
D.
J
Hint