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Byju's Answer
Standard XII
Physics
The 'e' Equation
If u is per...
Question
If
u
is perpendicular to
A
B
and
v
be the velocity of the second particle, find
u
v
to the nearest integer.
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Solution
s
i
n
θ
=
l
2
l
=
1
2
,
θ
=
30
°
Since velocity at A and B,
Along AB should be equal =
V
A
=
V
B
,
now let us conserve momentum
∴
m
(
0
)
+
m
u
cos
B
=
m
V
A
+
m
V
A
m
u
cos
B
=
m
V
A
V
A
u
=
cos
θ
3
=
√
3
4
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0
Similar questions
Q.
If
u
is at an angle of
120
∘
with
A
B
and
v
be the velocity of the second particle, find
u
v
to the nearest integer.
Q.
Particle
A
moves uniformly with velocity
v
so that vector
v
is continually aimed at point
B
which moves rectilinearly with a velocity
u
<
v
. At
t
=
0
,
v
and
u
are perpendicular. The time when they converge is given as
t
=
x
l
v
v
2
−
u
2
. Find
x
. Assume
A
and
B
are separated by
l
at
t
=
0
Q.
Let
→
u
,
→
v
, and
→
w
be such that
|
→
u
|
=
1
,
|
→
v
|
=
2
,
and
|
→
w
|
=
3.
If the projection of
→
v
along
→
u
is equal to that
→
w
along
→
u
, and
→
v
and
→
w
are perpendicular to each other, then |
→
u
-
→
v
+
→
w
| equals to
Q.
Let u,v,w be such that |u|=1, |v|=2, |w|=3. If the projection v along u is equal to that of w along u and v, w are perpendicular to each other then |u-v+w| =
Q.
Let
u
,
v
and
w
be such that
|
u
|
=
1
,
|
v
|
=
3
and
|
w
|
=
2
. If the projection of
v
along
u
is equal to that of
w
along
u
and vectors
v
and
w
are perpendicular to each other, then
|
u
−
v
+
w
|
equals
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