Advanced level 2023 south west regional mock pure mathematics with mechanics 1
Advanced level 2023 south west regional mock pure mathematics with mechanics 1
A block of mass 3kg falls from rest at a
vertical height of 5m above firm ground.
The impulse of the force exerted on the
ground by the block, given that it does not
rebound, is
40.
B. — (5* + 12)
C. – 23
D. 3.v 4- 4
36. s
A. 10 Ns
B. 30 Ns
C. 20 Ns
D. 13 Ns
10
5
4
0
-5
At the beginning of its motion, the position
vector of a car is 10(—i 4- j) and it me /es
with a constant speed of 10 ms-1 in 1ne
direction of the vectori. The path of the ir
relative to the origin at any time t is
41.
The graph shows the displacement (s)-time
(t) graph for a particle moving in a straight
line. The average velocity for the interval of
time from t = 0 to t = 4 is
r = lOj
r = lOj- lOi 4- lOti
r = lOj— 1014- 10£
r = lOi 4- 1(—lOi 4- lOj)
A.
0 ms-1
5 ms-1
2.5 ms-1
4 ms-1
ABC is a uniform right-angled triangul- ‘
lamina with right angle at A. If AB = 6 cr
AC=12cm and three particles each rf
weight 2kg are placed at the vertices of the
triangle, then the position of the centre of
gravity of the lamina, together with the
particles from sides AB is
42.
37. The force represented by (-4i 4- 3j) acts at
the point with position vector 2i — j. The
anticlockwise moment of this force about
the point with position vector i — j is
A. 2 Nm
B. 3 Nm
C. — 1 Nm
D. -3 Nm
3 cm
2 cm
4 cm
6 cm
AB
.
A block of mass 4kg rests on a rough C.
hontontal plane. When a hori:ontal force of
magnitude P N is applied to it, the block is
just about to move. If the coefficient of
Iriction between the block and plane is 0.4
then the value of P is
38
D.
43. A particle P starts from rest and moves with
a velocity of v given by v = — ms*1,
where s is the displacement of the particle
at time t. The displacement of P as a
A. PON function of time t is
B 24 N
A 5 = 6t
s = 6r ~3
s = 8r 3
si = 6t
C IP N
D lb N B.
C.
A projectile is given an initial velocity of
