Which of the following is the correct unit of k in

Question

the equation of a damped harmonic oscillator
given as
, where b is the damping factor and all the
symbols have their usual meaning?
2 If s is distance and t is time, what must be the
dimensions of a and b in the equation
?
,
,
,
,
3 What are the dimensions of pressure gradient?
4 Which of the following quantities have the same
dimensions?
moment and power
work and power
torque and work
work and upthrust
5 Which of the following equations is not
dimensionally consistent? the symbols have their
usual meaning.
6 Given three vectors
,
,
, calculate
6
9
7 A man walks
due east and then
. Find his resultant displacement.
13.7 m,
14.6 m,
10.0 m,
14.6m,
8 A man leaves the garrage in his house and
drives to a neighbouring town which is twenty
kilometres away from his house on sight-seeing.
He returns home to his garrage two hours after.
What is his average velocity from home in km/h?
10
0
20
40
9 Which of the following quantities is an example
of a vector or cross product?
momentum
work
density
torque
10 Which of the following is NOT correct?
11 Which of the follwing statements is correcct?
An object can have a constant velocity even
though its speed is changing
An object can have a constant speed even
though its velocty is changing
An object can have zero acceleration and
eventually reverses its direction
An object can have constant velocity even
though its acceleration is not zero
12 Which of the following correctly gives the
direction of a vector product
?
If the right thumb points in the direction of
and the other fingers point in the direction of
, then the palm pushes in the opposite direction
of
If the right is held such that the curled
fingers follow the rotation of
into
, then the extended right thumb points in the
direction of
If the left thumb points in the direction of
and the other fingers point in the direction of
, then the palm pushes in the direction of
The direction of retreat of the right-handed
screw when turned from
to
through the smaller angle.
13 Two vectors
and
have components, in arbitrary units,
,
,
,
. Find the angle between
and
14 When we describe the motion of an object we
are dealing with the part of mechanics called
statics
translation
dynamics
kinematics
15 Which of the following physical concepts best
explains why passengers in fast moving cars
should always fasten their seat-belts?
inertia
terminal velocity
moment of inertia
acceleration
16 An observer can describe the motion of an
object as "translational" if
the axes of the reference frame imagined to
be attached to the object
,
and
always remain parallel to the axes of his own
reference frame
,
and
the object moves in a curved path in such a
way that
,
and
may rotate about their origin
the motion of the object may not be
represented by the motion of its centre of mass
all the constituent particles of the object
undergo different displacements at the same time
17 An object is thrown upward from the edge of a
building with a velocity of 20 m/s. Where will the
object be 3s after it was thrown?
16m
22m
18 The displacement of a particle along the X-
axis is given as
, where x is in metres and t in seconds. Calculate
its average velocity in the time interval between 2
s and 3 s.
21 m/s
40 m/s
46 m/s
25 m/s
19 A bullet is straight upward with a velocity of
100 m/s from the top of a building 100 m high.
Find its maximum height above the ground
500 m
600 m
1000 m
300 m
20 The displacement of a particle along the X-
axis is given as
, where x is in metres and t in seconds. Calculate
its instantaneous velocity 2 s.