Physics-
General
Easy
Question
The resultant of the three vectors
,
and
shown in figure is –
![](data:image/png;base64,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)
- r
- 2r
- r(1 +
)
- r(
– 1)
The correct answer is: r(1 +
)
Related Questions to study
physics-
Two forces, each numerically equal to 5 N, are acting as shown in the figure. Then the resultant is-
![](data:image/png;base64,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)
Two forces, each numerically equal to 5 N, are acting as shown in the figure. Then the resultant is-
![](data:image/png;base64,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)
physics-General
physics-
For the vectors
and
shown in figure
=
and |
| = 10 units while
then the value of R =
is nearly –
![](data:image/png;base64,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)
For the vectors
and
shown in figure
=
and |
| = 10 units while
then the value of R =
is nearly –
![](data:image/png;base64,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)
physics-General
physics-
Two forces, each numerically equal to 5 N, are acting as shown in the Fig. Then the resultant is–
![](data:image/png;base64,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)
Two forces, each numerically equal to 5 N, are acting as shown in the Fig. Then the resultant is–
![](data:image/png;base64,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)
physics-General
physics-
A body of mass m is thrown upwards at an angle
with the horizontal with velocity v. While rising up the velocity of the mass after t seconds will be-
A body of mass m is thrown upwards at an angle
with the horizontal with velocity v. While rising up the velocity of the mass after t seconds will be-
physics-General
physics-
In a projectile motion, velocity at maximum height is -
In a projectile motion, velocity at maximum height is -
physics-General
physics-
A body is thrown with a velocity of 9.8 m/s making an angle of
with the horizontal. It will hit the ground after a time -
A body is thrown with a velocity of 9.8 m/s making an angle of
with the horizontal. It will hit the ground after a time -
physics-General
physics-
A particle covers 50 m distance when projected with an initial speed. On the same surface it will cover a distance, when projected with double the initial speed -
A particle covers 50 m distance when projected with an initial speed. On the same surface it will cover a distance, when projected with double the initial speed -
physics-General
physics-
If time of flight of a projectile is 10 seconds. Range is 500 meters. The maximum height attained by it will be -
If time of flight of a projectile is 10 seconds. Range is 500 meters. The maximum height attained by it will be -
physics-General
physics-
When a body is thrown with a velocity u making an angle
with the horizontal plane, the maximum distance covered by it in horizontal direction is -
When a body is thrown with a velocity u making an angle
with the horizontal plane, the maximum distance covered by it in horizontal direction is -
physics-General
physics-
At the top of the trajectory of a projectile, the acceleration is -
At the top of the trajectory of a projectile, the acceleration is -
physics-General
physics-
Galileo writes that for angles of projection of a projectile at angles (45 +
) and (45 –
), the horizontal ranges described by the projectile are in the ratio of (if
) -
Galileo writes that for angles of projection of a projectile at angles (45 +
) and (45 –
), the horizontal ranges described by the projectile are in the ratio of (if
) -
physics-General
physics-
The angle of projection at which the horizontal range and maximum height of projectile are equal is -
The angle of projection at which the horizontal range and maximum height of projectile are equal is -
physics-General
physics-
An object is thrown along a direction inclined at an angle of
with the horizontal direction. The horizontal range of the particle is equal to -
An object is thrown along a direction inclined at an angle of
with the horizontal direction. The horizontal range of the particle is equal to -
physics-General
Physics
The Figure shows the Position-time (x-1) graph of one dimensional motion of a body of mass 0.4 kg. The magnitude of each impulse is
![](data:image/png;base64,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)
The Figure shows the Position-time (x-1) graph of one dimensional motion of a body of mass 0.4 kg. The magnitude of each impulse is
![](data:image/png;base64,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)
PhysicsGeneral
physics
A Wagon weighing 1000 kg is moving with a velocity 50 km h1 on smooth horizental rails. A mass of 250 kg is copped into il. The velocity with which it moves now is
A Wagon weighing 1000 kg is moving with a velocity 50 km h1 on smooth horizental rails. A mass of 250 kg is copped into il. The velocity with which it moves now is
physicsGeneral