Physics-
General
Easy
Question
Consider a vector
. Another vector that is perpendicular to
is
- 6
- 7
The correct answer is: 6![stack j with hat on top](data:image/png;base64,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)
Since
is lying in
plane, hence the vector perpendicular to
must be lying perpendicular to
plane
along
-axis.
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Two wires
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of small sphere of mass 5 kg, which revolves at a constant speed
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![](data:image/png;base64,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)
Two wires
and
are tied at
of small sphere of mass 5 kg, which revolves at a constant speed
in the horizontal circle of radius 1.6 m. The minimum value of
is
![](data:image/png;base64,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)
physics-General
physics-
Two stones are projected with the same velocity in magnitude but making different angles with the horizontal. Their ranges are equal. If the angel of projection of one is
and its maximum height is
, the maximum height of the other will be
Two stones are projected with the same velocity in magnitude but making different angles with the horizontal. Their ranges are equal. If the angel of projection of one is
and its maximum height is
, the maximum height of the other will be
physics-General
physics
Angle of projection, maximum height and time to reach the maximum height of a particle are
,H and respectivley. Find the true relation.
Angle of projection, maximum height and time to reach the maximum height of a particle are
,H and respectivley. Find the true relation.
physicsGeneral
physics-
A particle
is projected from the ground with an initial velocity of
at an angle of 60
with horizontal. From what height
should an another particle
be projected horizontally with velocity
so that both the particles collide in ground at point
if both are projected simultaneously? ![left parenthesis g equals 10 blank m s to the power of negative 2 end exponent right parenthesis](data:image/png;base64,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)
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)
A particle
is projected from the ground with an initial velocity of
at an angle of 60
with horizontal. From what height
should an another particle
be projected horizontally with velocity
so that both the particles collide in ground at point
if both are projected simultaneously? ![left parenthesis g equals 10 blank m s to the power of negative 2 end exponent right parenthesis](data:image/png;base64,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)
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)
physics-General
physics-
A particle is projected with a speed
at
with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height
is
A particle is projected with a speed
at
with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height
is
physics-General
physics-
A body of mass 1kg is rotating in a vertical circle of radius 1m. What will be the difference in its kinetic energy at the top and bottom of the circle? (Take
)
A body of mass 1kg is rotating in a vertical circle of radius 1m. What will be the difference in its kinetic energy at the top and bottom of the circle? (Take
)
physics-General
physics-
A particle of mass
moves with constant speed along a circular path of radius
under the action of force
. Its speed is
A particle of mass
moves with constant speed along a circular path of radius
under the action of force
. Its speed is
physics-General
Physics
A particle is moving in a straight line with initial velocity of 200 ms-1 acceleration of the particle is given by
. Find velocity of the particle at 10 second.
A particle is moving in a straight line with initial velocity of 200 ms-1 acceleration of the particle is given by
. Find velocity of the particle at 10 second.
PhysicsGeneral