Physics-
General
Easy
Question
A block of mass m moving with a velocity
on a smooth horizontal surface strikes and compresses a spring of stiffness k till mass comes to rest as shown in the figure. This phenomenon is observed by two observers To an observing A, the net work done on the block is
A) Standing on the horizontal surface
B) Standing on the block
![](data:image/png;base64,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)
- zero
The correct answer is: ![negative fraction numerator 1 over denominator 2 end fraction m v subscript 0 end subscript superscript 2 end superscript](data:image/png;base64,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)
Related Questions to study
physics-
A block of mass m moving with a velocity
on a smooth horizontal surface strikes and compresses a spring of stiffness k till mass comes to rest as shown in the figure. This phenomenon is observed by two observers To an observer A, the work done by the normal reaction N between the block and the spring on the block is
A) Standing on the horizontal surface
B) Standing on the block
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)
A block of mass m moving with a velocity
on a smooth horizontal surface strikes and compresses a spring of stiffness k till mass comes to rest as shown in the figure. This phenomenon is observed by two observers To an observer A, the work done by the normal reaction N between the block and the spring on the block is
A) Standing on the horizontal surface
B) Standing on the block
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)
physics-General
physics-
A block of mass m moving with a velocity
on a smooth horizontal surface strikes and compresses a spring of stiffness k till mass comes to rest as shown in the figure. This phenomenon is observed by two observers To an observer A, the work done by spring force is
A: Standing on the horizontal surface
B: Standing on the block
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)
A block of mass m moving with a velocity
on a smooth horizontal surface strikes and compresses a spring of stiffness k till mass comes to rest as shown in the figure. This phenomenon is observed by two observers To an observer A, the work done by spring force is
A: Standing on the horizontal surface
B: Standing on the block
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)
physics-General
physics-
A ball is released from point A as shown in figure. The ball leaves the track at B. All surfaces are smooth. Let h be the maximum height from ground reached by ball after leaving track at B. Then If track makes an angle
with horizontal at B then maximum height attained by ball will be :
![](data:image/png;base64,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)
A ball is released from point A as shown in figure. The ball leaves the track at B. All surfaces are smooth. Let h be the maximum height from ground reached by ball after leaving track at B. Then If track makes an angle
with horizontal at B then maximum height attained by ball will be :
![](data:image/png;base64,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)
physics-General
Maths-
If the lines
and
represent three consecutive sides of a rectangle then ab![equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC)
Hence ab=18
Choice 1 is correct
If the lines
and
represent three consecutive sides of a rectangle then ab![equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC)
Maths-General
Hence ab=18
Choice 1 is correct
chemistry-
The product obtained in this reaction is
The product obtained in this reaction is
chemistry-General
physics-
A ball is dropped on a floor and bounces back to a height somewhat less than the original height, which of the curves depicts its motion correctly?
A ball is dropped on a floor and bounces back to a height somewhat less than the original height, which of the curves depicts its motion correctly?
physics-General
physics-
Acceleration-time graph of a body is shown. The corresponding velocity-time graph of the same body is
![](data:image/png;base64,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)
Acceleration-time graph of a body is shown. The corresponding velocity-time graph of the same body is
![](data:image/png;base64,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)
physics-General
physics-
A particle starts from rest at
and moves in a straight line with an acceleration as shown below. The velocity of the particle at
is
![](data:image/png;base64,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)
A particle starts from rest at
and moves in a straight line with an acceleration as shown below. The velocity of the particle at
is
![](data:image/png;base64,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)
physics-General
physics-
The velocity-time graph of a body is shown in figure. The ratio of the ... during the intervals
and
is.
![](data:image/png;base64,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)
The velocity-time graph of a body is shown in figure. The ratio of the ... during the intervals
and
is.
![](data:image/png;base64,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)
physics-General
maths-
then C![equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC)
then C![equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC)
maths-General
physics-
A particle moves along the sides
of a square of side
wuth a velocity of
. Its average velocity is
![](data:image/png;base64,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)
A particle moves along the sides
of a square of side
wuth a velocity of
. Its average velocity is
![](data:image/png;base64,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)
physics-General
physics-
The acceleration of a train between two stations 2 km apart is shown in the figure. The maximum speed of the train is
![](data:image/png;base64,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)
The acceleration of a train between two stations 2 km apart is shown in the figure. The maximum speed of the train is
![](data:image/png;base64,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)
physics-General
physics-
The distance-time graph of a particle at time
makes angle 45
with time axis. After 1s, it makes angle 60
with time axis. What is the acceleration of the particle?
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)
The distance-time graph of a particle at time
makes angle 45
with time axis. After 1s, it makes angle 60
with time axis. What is the acceleration of the particle?
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)
physics-General
physics-
A particle starts from rest. Its acceleration
versus time
is as shown in the figure. The maximum speed of the particle will be
![](data:image/png;base64,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)
A particle starts from rest. Its acceleration
versus time
is as shown in the figure. The maximum speed of the particle will be
![](data:image/png;base64,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physics-General
chemistry-
Diethyl ether on treatment with
in presence of sunlight gives:
Diethyl ether on treatment with
in presence of sunlight gives:
chemistry-General