Revision Test 12 : Vectors andadding waveforms
This assignment covers the material contained in Chapters 29 and 30.The marks available are shown in brackets at
the end of each question.
- State the difference between scalar and vector
quantities. (2) - State whether the following are scalar or vector
quantities.
(a) A temperature of 50◦C.
(b) 2m^3 volume.
(c) A downward force of 10N.
(d) 400J of work.
(e) 20cm^2 area.
(f) A south-easterly wind of 20 knots.
(g) 40m distance.
(h) An acceleration of 25m/s^2 at 30◦ to the
horizontal. (8) - A velocity vector of 16m/s acts at an angle of
− 40 ◦to the horizontal. Calculate its horizontal
and vertical components, correct to 3 significant
figures. (4) - Calculate the resultant and direction of the dis-
placement vectors shown in Figure RT12.1, cor-
rect to 2 decimal places. (6)
41 m26 mFigure RT12.1- Calculate the resultant and direction of the force
vectors shown in Figure RT12.2, correct to 2
decimal places. (6) - If accelerationa 1 =11m/s^2 at 70◦and
a 2 =19m/s^2 at− 50 ◦, calculate the magnitude
and direction ofa 1 +a 2 , correct to 2 decimal
places. (8) - If velocityv 1 =36m/s at 52◦andv 2 =17m/s at
− 15 ◦, calculate the magnitude and direction of
v 1 −v 2 , correct to 2 decimal places. (8)
5N7NFigure RT12.2- Forces of 10N, 16N and 20N act as shown in
Figure RT12.3. Determine the magnitude of the
resultant force and its directionrelative to the 16N
force
(a) by scaled drawing.
(b) by calculation. (13)
F 15 10 NF 25 16 NF 35 20 N458608Figure RT12.3- For the three forces shown in Figure RT12.3,
calculate the resultant ofF 1 −F 2 −F 3 and its
direction relative to force F 2 .(9) - Two cars, A and B, are travelling towards cross-
roads. A has a velocity of 60km/h due south and
B a velocity of 75km/h due west. Calculate the
velocity of A relative to B. (6)