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04

LAWS
OF
MOTION
Page
1
( Answers
at
the
end
of
all
questions )
1 )
A
smooth
block
is
released
at
rest
on
a
45
°
incline
and
then
slides
a
distance
‘d’.
The
time
taken
to
slide
is
‘n’
times
as
much
to
slide
on
rough
incline
than
on
a
smooth
incline.
The
coefficient
of
friction
is
( a )
µ
k
=
2
n
1
1

( b )
µ
k
=
2
n
1
1

( c )
µ
s
=
2
n
1
1

( d )
µ
s
=
2
n
1
1

[ AIEEE
2005 ]
2 )
The
upper
half
of
an
inclined
plane
with
inclination
φ
is
perfectly
smooth
while
the
lower
half
is
rough.
A
body
starting
from
rest
at
the
top
will
again
come
to
rest
at
the
bottom
if
the
coefficient
of
friction for
the
lower
half
is
given
by
( a )
2 cos
φ
( b )
2 sin
φ
( c )
tan
φ
( d )
2 tan
φ
[ AIEEE
2005 ]
3 )
A
particle
of
mass
0.3
kg
is
subjected
to
a
force
F
=

kx
with
k
=
15
N
/
m.
What
will
be
its
initial
acceleration
if
it is
released
from
a
point
20
cm
away
from
the
origin ?
( a )
15
m
/
s
2
( b )
3
m
/
s
2
( c )
10
m
/
s
2
( d )
5
m
/
s
2
[ AIEEE
2005 ]
4 )
Consider
a
car
moving
on
a
straight
road
with
a
speed
of
100
m
/
s.
The
distance
at
which
car
can
be
stopped
is
[
µ
k
=
0.5 ]
( a )
1000 m
( b )
800 m
( c )
400 m
( d )
100 m
[ AIEEE
2005 ]
5 )
A
machine
gun
fires
a
bullet
of
mass
40 g
with
a
velocity
of
1200
ms

1
.
The
man
holding
it
can
exert
a
maximum
force
of
144 N
on
the
gun.
How
many
bullets
can
he
fire
per
second
at
the
most ?
( a )
one
( b )
four
( c )
two
( d )
three
[ AIEEE
2004 ]
6 )
Two
masses
m
1
=
5 kg
and
m
2
=
4.8 kg
tied
to
a
string
are
hanging
over
a
light
frictionless
pulley.
What
is
the
acceleration
of
the
masses
when
lift
is
free
to
move ?
( g
=
9.8 m
/
s
2
)
( a )
0.2
m
/
s
2
( b )
9.8
m
/
s
2
( b )
5
m
/
s
2
( d )
4.8
m
/
s
2
[ AIEEE
2004 ]
7 )
A
block
rests
on
a
rough
inclined
plane
making
an
angle
of
30
°
with
the
horizontal.
The
coefficient
of
static
friction
between
the
block
and
the
plane
is
0.8.
If
the
frictional
force
on
the
block
is
10 N,
the
mass
of
the
block
( in kg )
is
( take
g
=
10 m
/
s
2
)
( a )
2.0
( b )
4.0
( c )
1.6
( d )
2.5
[ AIEEE
2004 ]
8 )
Three
forces
start
acting
simultaneously
on
a
particle
moving
with
velocity
→
v .
These
forces
are
represented
in
magnitude
and
direction
by
the
three
sides
of
a
triangle
ABC
as
shown
in
the
figure.
The
particle
will
now
move
with
velocity
( a )
less
than
→
v
( b )
greater
than
→
v
( c )
→
v
remaining
unchanged
( d )
l
v
l
→
in
the
direction
of
the
largest
force
BC
[ AIEEE
2003 ]
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View Full Document 04

LAWS
OF
MOTION
Page
2
( Answers
at
the
end
of
all
questions )
9 )
A
horizontal
force
of
10 N
is
necessary
to
just
hold
a
block
stationary
against
a
wall.
The
coefficient
of
friction
between
the
block
and
the
wall
is
0.2.
The
weight
of
the
block
is
( a )
2 N
( b )
20 N
( c )
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This note was uploaded on 11/28/2011 for the course PHYSICS 300 taught by Professor Smith during the Spring '06 term at ITT Tech Flint.
 Spring '06
 Smith

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