1.
What is the magnitude of the resultant of a 100-newton force along the
x
-axis and a 150-newton force at an angle of 40° to each other?
A.
180.28 N
B.
125 N
C.
162.99 N
D.
235.54 N
Hint
2.
Find the direction of the resultant of a 100-newton force along the
x
-axis and a 150-newton force at an angle of 40° above the
x
-axis.
A.
24.2°
B.
12.6°
C.
32.6°
D.
10.5°
Hint
3.
Find the magnitude of the resultant vector that is the sum of the two vectors shown.
A.
80.1
B.
59
C.
165.2
D.
124
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.
21.1 N
B.
93.1 N
C.
50 N
D.
45.3 N
Hint
5.
Find the magnitude of the resultant of a 7-newton force at an angle of 35° above the
x
-axis and a 12-newton force at an angle of 35° below the
x
-axis.
A.
15.8 N
B.
7.4 N
C.
11.6 N
D.
18.1 N
Hint