Physics
General
Easy
Question
Two blocks of Nass 8 kg and 4 kg and connected a heavy string placed on rough horizontal plane, 4 kg block is Pulled with a constant force F. The co-efficient of friction between the blocks and the ground is 0.5 , what is the value of F, So that the tension in the spring is constant throughout during the motion of the blocks? (g=10ms-2)
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)
- 40 N
- 60 N
- 50 N
- 30 N
The correct answer is: 60 N
Related Questions to study
Maths-
Let![f left parenthesis x right parenthesis equals fraction numerator x plus 1 over denominator x minus 1 end fraction comma text fof end text left parenthesis x right parenthesis equals f squared left parenthesis x right parenthesis semicolon f o f o f left parenthesis x right parenthesis equals f cubed left parenthesis x right parenthesis comma text fofofof end text left parenthesis x right parenthesis equals f to the power of 4 left parenthesis x right parenthesis horizontal ellipsis text then end text f subscript left parenthesis x right parenthesis end subscript superscript 2008 equals](data:image/png;base64,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)
Let![f left parenthesis x right parenthesis equals fraction numerator x plus 1 over denominator x minus 1 end fraction comma text fof end text left parenthesis x right parenthesis equals f squared left parenthesis x right parenthesis semicolon f o f o f left parenthesis x right parenthesis equals f cubed left parenthesis x right parenthesis comma text fofofof end text left parenthesis x right parenthesis equals f to the power of 4 left parenthesis x right parenthesis horizontal ellipsis text then end text f subscript left parenthesis x right parenthesis end subscript superscript 2008 equals](data:image/png;base64,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)
Maths-General
physics
On the horizontal surface of a truck (=0.6) . a block of mass 1kg is placed. If the truck is accelerating at the rale of 5 m/s2 then frictional force on the block will be_
On the horizontal surface of a truck (=0.6) . a block of mass 1kg is placed. If the truck is accelerating at the rale of 5 m/s2 then frictional force on the block will be_
physicsGeneral
Physics
A plate of mass M is placed on a horizontal frictionless surface and a body of mass m is placed on this plate, The coefficient of dynamic friction between this body and the plate is µ . If a force 2µmg. is applied to the body of mass in along the horizonal direction the acceleration of the plate will be ……
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)
A plate of mass M is placed on a horizontal frictionless surface and a body of mass m is placed on this plate, The coefficient of dynamic friction between this body and the plate is µ . If a force 2µmg. is applied to the body of mass in along the horizonal direction the acceleration of the plate will be ……
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)
PhysicsGeneral
physics-
As shown in figure, the object having mass M is executing S.H.M. with an amplitude A The amplitude of point P shown in figure will be ……
![](data:image/png;base64,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)
As shown in figure, the object having mass M is executing S.H.M. with an amplitude A The amplitude of point P shown in figure will be ……
![](data:image/png;base64,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)
physics-General
physics-
The figure shows a graph of displacement versus time for a particle executing S.H.M. The acceleration of the S.H.O. at the end of time
second is…..cm-2
![](data:image/png;base64,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)
The figure shows a graph of displacement versus time for a particle executing S.H.M. The acceleration of the S.H.O. at the end of time
second is…..cm-2
![](data:image/png;base64,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)
physics-General
physics-
As shown in figure, a body having mass m is attached with two springs having spring constants
1 and
- The frequency of oscillation is f. Now, if the springs constants of both the springs are increased 4 times, then the frequency of oscillation will be equal to .
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)
As shown in figure, a body having mass m is attached with two springs having spring constants
1 and
- The frequency of oscillation is f. Now, if the springs constants of both the springs are increased 4 times, then the frequency of oscillation will be equal to .
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)
physics-General
physics
Three forces are acting simultaneously on a particle mowing with velocity
.These forces are represcaled in magnitude and direction by the three sides of a triangle . The particle will now move with velocity…..
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)
Three forces are acting simultaneously on a particle mowing with velocity
.These forces are represcaled in magnitude and direction by the three sides of a triangle . The particle will now move with velocity…..
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)
physicsGeneral
physics-
Three identical springs are shown in figure. When a 4 kg mass is suspended from spring A, its length increases by lcm. Now if a 6 kg mass is suspended from the froe end of spring C, then increase in its length is.
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)
Three identical springs are shown in figure. When a 4 kg mass is suspended from spring A, its length increases by lcm. Now if a 6 kg mass is suspended from the froe end of spring C, then increase in its length is.
![](data:image/png;base64,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)
physics-General
physics-
If a bar magnet of length land cross-sectional area A is cut into two equal parts as shown in figure, then the pole strength of each pole becomes
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)
If a bar magnet of length land cross-sectional area A is cut into two equal parts as shown in figure, then the pole strength of each pole becomes
![](data:image/png;base64,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)
physics-General
physics-
As shown in figure, two masses of 3.0 kg and 1.0 kg are attached at the two ends of a spring having force constant 300 N
. The natural frequency of oscillation for the system will be .......hz (Ignore friction)
![](data:image/png;base64,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)
As shown in figure, two masses of 3.0 kg and 1.0 kg are attached at the two ends of a spring having force constant 300 N
. The natural frequency of oscillation for the system will be .......hz (Ignore friction)
![](data:image/png;base64,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)
physics-General
physics-
When a body having mass m is suspended from the free end of two springs suspended from a rigid support, as shown in figure, its periodic time of oscillation is T. If only one of the two springs are used, then the periodic time would be…
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)
When a body having mass m is suspended from the free end of two springs suspended from a rigid support, as shown in figure, its periodic time of oscillation is T. If only one of the two springs are used, then the periodic time would be…
![](data:image/png;base64,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)
physics-General
physics-
A current carrying loop is placed in a uniform magnetic field in four different orientations, I, II, III and IV, arrange them in the decreasing order of potential energy
III
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485488/1/897917/Picture4.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485488/1/897917/Picture27.png)
IIIIV
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485488/1/897917/Picture28.png)
A current carrying loop is placed in a uniform magnetic field in four different orientations, I, II, III and IV, arrange them in the decreasing order of potential energy
III
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485488/1/897917/Picture4.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485488/1/897917/Picture27.png)
IIIIV
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485488/1/897917/Picture28.png)
physics-General
chemistry-
Which of the following statements are correct?
A) Like halogens, hydrogen combine with non metals forming covalent compounds.
B) Hydrogen as well as halogens have tendency of accepting electrons.
C) The oxide of hydrogen is natural, as is the case with oxide of halogens
D) Hydrogen and halogen form hydride ions with equal ease.
Which of the following statements are correct?
A) Like halogens, hydrogen combine with non metals forming covalent compounds.
B) Hydrogen as well as halogens have tendency of accepting electrons.
C) The oxide of hydrogen is natural, as is the case with oxide of halogens
D) Hydrogen and halogen form hydride ions with equal ease.
chemistry-General
Maths-
Maths-General
physics
A force of 8 N acts on an object of mass 5 kg in X- direction and another force of 6 N acts on in in Y . direction. Hence, the magnitude of acceleration of object will be
A force of 8 N acts on an object of mass 5 kg in X- direction and another force of 6 N acts on in in Y . direction. Hence, the magnitude of acceleration of object will be
physicsGeneral