Fundamentals of Applied Physics (GSDR2115)
Higher Institute of Transport and Logistics (HITL)
Semester: First Semester
Level: 200
Year: 2017
THE UNIVERSITY OF BAMENDA UNIVERSITE DE BAMENDA
HIGHER INSTITUTE OF TRANSPORT AND INSTITU DE TRANSPORT ET LOGISTIQUE
LOGISTICS (I.S.T.L)
SCHOOL: H.I.T.L DEPARTEMHNT: General Studies LECTURERSR(S): Dr. DADA Jean-Pierre
COURSE CODE: TLG COURSE TITLE: Fundamentals of applied physics OPTIONS: LT, TL, MT and CU
DATE:......2017 HALL: ................... TIME: 2 hours NATURE; EXAM
Instructions: Answer all questions.
Exercise 1: Effects of rebounding, crumpling vehicles (40 marks)
A car (A) with a mass (m
1
) moving with the velocity
, collides with another car (B) having a mass (m
2
). The
car (B) is also in movement with the velocity V
2
. The mass of the driver driving the car (A) is ( m
3
) while (m
4
) is the
mass of the driver of the car (B). After the frontal collision, the two cars become a single solid moving with the
velocity
(see the figure).
1. Answer by Yes or No:
1.1. This is an inelastic collision
1.2. This collision corresponds to the non conservation of kinetic energy
1.3. This collision corresponds to the conservation of total momentum
1.4. This collision corresponds to the non conservation of total momentum
1.5. This collision corresponds to the conservation of kinetic energy
1.6. This is an elastic collision
. .
2. Give the expression of the momentum
, of the car (A) before the collision
3. Give the expression of the momentum
, of the car (B) before the collision
4. Give the expression of the momentum
, of the person driving the car (A) before the collision
5. Give the expression of the momentum
, of the person driving the car (B) before the collision
6. Give the expression of the total momentum
of the system, before the collision, in terms of m
1
, m
2
, m
3
, m
4
,
and
7.Give the expression of the kinetic energy K
1
, of the car (A) before the collision
8.Give the expression of the kinetic energy K
2
, of the car (B) before the collision
9.Give the expression of the kinetic energy K
3
,of the person driving the car (A) before the collision
10. Give the expression of the kinetic energy K
4
, of the person driving the car (B) before the collision
11. Give the expression of the total kinetic energy K of the system, before the collision, in terms of m
1
, m
2
, m
3
, m
4
,
and
12. Give the expression of the momentum
of the system after the collision in terms of m
1
, m
2
, m
3
, m
4
,
13. Give the expression of the kinetic energy K’ of the system after the collision in terms of m
1,
m
2
, m
3
, m
4
and V.
14. Give the expression of V in terms of m
1
, m
2
, m
3
, m
4
, V
1
and V
2
(do not forget to project the expression on OX
axis)
15. Give the expression of the force F created on driver of the car (A) after the collision if this collision happened in
1 second
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16. Some automobiles have crumpled zones or sections in cars which are designed to crumple up when the car
encounters a collision. Answer by YES or NO:
15.1.
By crumpling, the time of the collision is reducing
15.2.
By crumpling, the force of (lie collision is greatly increased.
1 5.3. The figure above shows that the two cars were crumpled.
15.4.
By crumpling, the car is less likely to rebound upon impact
15.5.
By crumpling, the momentum changes and the impulse is minimized.
15.6.
The crumpling of the ear lengthens the time over which the car's momentum is changed;
15.7.
By crumpling, the time of the collision is increasing
15.8.
By crumpling, the force of the collision is greatly reduced.
Exercise 2: All answers should be expressed on the basis
(30 marks)
On the plan OXY, a circle with the radius R = OA turns with the constant velocity with respect to the point O. One
draws at the moving center. A two orthonormal axis
, =
At the time t = 0, A is on OX axis ( and
are collinear). A point M
initially on the OX axis runs on the circumference, in the right hand size
with the angular velocity ' =2 (see figure).
1)
Give the expression of the vector position
2)
Give the expression of the components of the absolute velocity
and the acceleration vectors.
3)
Give the expression of the components of the relative velocity
vector.
4)
Give the expression of the components of the driven velocity
vector.
5)
Verify the relation between absolute velocity vector and others.
Recall:
!"
# $
%
&
'
()
Exercise 2: All answers should be expressed on the basis
*
In the basis
*
)a point M describes a linear sinusoidal movement with
the equation x = acost. M is then under the obligation to displace following only on
the vector )
; 00’ = R. The point 0’ of the basis
*
)is in movement with
the uniform rotation around
axis of the basis
+
*,
-
.
(see figure) so that the
angle between vectors
and being / This figure represents an engine found at
Douala port. Draw up that real engine.
Good luck
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