1. Calculate the resultant of the three force vectors in figure 1 by the component method. The
magnitudes of the forces are $F_1 = 20.0$ N, $F_2 = 40.0$ N and $F_3 = 50.0$ N. (10)
+ y
F2
F
20,0Ā°
60,0Ā°
+ X
F3
2. Two forces are applied to a vehicle to pull it out of the ground. Force ($\vec{F_A}$) has a magnitude of
2240 N and points 34.0Ā° south of east, while force ($\vec{F_B}$) has a magnitude of 3160 N and
points due south.
a. Draw a sketch of these forces on the x, y axes.
b. Using the component method, find the magnitude and direction of the resultant force $\vec{F_A} + \vec{F_B}$
(3)
that is applied to the stump.
(8)
c. Draw a sketch of the resultant force on the same set of axes in (a).
(2)
3. A car accelerates uniformly at 1.5 m/sĀ² from rest to 22 m/s. Then the brakes are applied and it
stops 2.5 s later.
a. Sketch the velocity-time graph representing this motion of the car.
(4)
b. Calculate the total distance traveled by the car.
(5)
