Physics-
A block of mass
kg sliding on a smooth horizontal surface with a velocity
meets the spring of spring constant
fixed at one end as shown in figure. The maximum compression of the spring and velocity of block as is returns to the original position respectively are

Physics-General
Answer:The correct answer is:
When block strikes the spring, the kinetic energy of block converts into potential energy of spring ie,

Or 

When block returns to the original position, again potential energy converts into kinetic energy of the blocks, so velocity of the block is same as before but its sign changes as it goes to mean position.

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Related Questions to study
physics-
The relationship between the force F and position
of a body is as shown in figure. The work done in displacing the body from
to
m will be

Work done=area enclosed by
graph
=area of ABNM + area of CDEN - area of EFGH + area of HIJ

=

=area of ABNM + area of CDEN - area of EFGH + area of HIJ

=
The relationship between the force F and position
of a body is as shown in figure. The work done in displacing the body from
to
m will be

physics-General
Work done=area enclosed by
graph
=area of ABNM + area of CDEN - area of EFGH + area of HIJ

=

=area of ABNM + area of CDEN - area of EFGH + area of HIJ

=
physics-
Three objects
and
are kept in a straight line on a frictionless horizontal surface. These have masses
and
respectively. The object
moves towards
with a speed
and makes an elastic collision with it. Thereafter,
makes completely inelastic collision with
. All motions occur on the same straight line. Find the final speed (in
) of the object 



By the law of conservation of momentum
Three objects
and
are kept in a straight line on a frictionless horizontal surface. These have masses
and
respectively. The object
moves towards
with a speed
and makes an elastic collision with it. Thereafter,
makes completely inelastic collision with
. All motions occur on the same straight line. Find the final speed (in
) of the object 

physics-General


By the law of conservation of momentum
physics-
The relation between the displacement
of an object produced by the application of the variable force
is represented by a graph shown in the figure. If the object undergoes a displacement from
to
the work done will be approximately equal to

Work done = Area under curve and displacement axis
= Area of trapezium


As the area actually is not trapezium so work done will be more than
approximately 
= Area of trapezium
As the area actually is not trapezium so work done will be more than
The relation between the displacement
of an object produced by the application of the variable force
is represented by a graph shown in the figure. If the object undergoes a displacement from
to
the work done will be approximately equal to

physics-General
Work done = Area under curve and displacement axis
= Area of trapezium


As the area actually is not trapezium so work done will be more than
approximately 
= Area of trapezium
As the area actually is not trapezium so work done will be more than
physics-
In the given curved road, if particle is released from
then

If the surface is smooth then the kinetic energy at
never be zero
If the surface is rough, the kinetic energy at
be zero. Because, work done by force of friction is negative. If work done by friction is equal to
then, net work done on body will be zero. Hence, net change in kinetic energy is zero. Hence, (b) is correct If the surface is rough, the kinetic energy at
must be lesser than
. If surface is smooth, the kinetic energy at
is equal to
The reason is same as in (a) and (b)
If the surface is rough, the kinetic energy at
In the given curved road, if particle is released from
then

physics-General
If the surface is smooth then the kinetic energy at
never be zero
If the surface is rough, the kinetic energy at
be zero. Because, work done by force of friction is negative. If work done by friction is equal to
then, net work done on body will be zero. Hence, net change in kinetic energy is zero. Hence, (b) is correct If the surface is rough, the kinetic energy at
must be lesser than
. If surface is smooth, the kinetic energy at
is equal to
The reason is same as in (a) and (b)
If the surface is rough, the kinetic energy at
physics-
A body of mass
slides down a curved track which is quadrant of a circle of radius
. All the surfaces are frictionless. If the body starts from rest, its speed at the bottom of the track is

By conservation of energy, 

A body of mass
slides down a curved track which is quadrant of a circle of radius
. All the surfaces are frictionless. If the body starts from rest, its speed at the bottom of the track is

physics-General
By conservation of energy, 

physics-
A 10 kg brick moves along an
-axis. Its acceleration as a function of its position is shown in figure. What is the net work performed on the brick by the force causing the acceleration as the brick moves from
to
m?

According to the graph the acceleration
varies linearly with the coordinate
. We may write
, where
is the slope of the graph.
From the graph

The force on the brick is in the positive
-direction and according to Newton’s second law, its magnitude is given by

If
is the final coordinate, the work done by the force is



From the graph
The force on the brick is in the positive
If
A 10 kg brick moves along an
-axis. Its acceleration as a function of its position is shown in figure. What is the net work performed on the brick by the force causing the acceleration as the brick moves from
to
m?

physics-General
According to the graph the acceleration
varies linearly with the coordinate
. We may write
, where
is the slope of the graph.
From the graph

The force on the brick is in the positive
-direction and according to Newton’s second law, its magnitude is given by

If
is the final coordinate, the work done by the force is



From the graph
The force on the brick is in the positive
If
physics-
Force
on a particle moving in a straight line varies with distance
as shown in the figure. The work done on the particle during its displacement of 

Work = Area under
graph
