Physics-
General
Easy
Question
The trajectory of a particle moving in vast maidan is as shown in the figure. The coordinates of a position
are
The coordinates of another point at which the instantaneous velocity is same as the average velocity between the points are

The correct answer is: 
Related Questions to study
physics-
The potential energy of a particle varies with distance
as shown in the graph.
The force acting on the particle is zero at

The potential energy of a particle varies with distance
as shown in the graph.
The force acting on the particle is zero at

physics-General
physics-
A
mass moves along
-axis. Its acceleration as a function of its position is shown in the figure. What is the total work done on the mass by the force as the mass moves from
to 

Work done = Area covered in between force displacement curve and displacement axis
= Mass
Area covered in between acceleration-displacement curve and displacement axis

= Mass
A
mass moves along
-axis. Its acceleration as a function of its position is shown in the figure. What is the total work done on the mass by the force as the mass moves from
to 

physics-General
Work done = Area covered in between force displacement curve and displacement axis
= Mass
Area covered in between acceleration-displacement curve and displacement axis

= Mass
physics-
A mass
slips along the wall of a semispherical surface of radius
. The velocity at the bottom of the surface is

By applying law of conservation of energy

A mass
slips along the wall of a semispherical surface of radius
. The velocity at the bottom of the surface is

physics-General
By applying law of conservation of energy

physics-
Three forces of magnitudes 6N, 6N and
N at a corner of a cube along three sides as shown in figure. Resultant of these forces is

The resultant of 5 N along
and 5 N along
is

N along 
The resultant of
N along
and
N along
is
N along
.
The resultant of
Three forces of magnitudes 6N, 6N and
N at a corner of a cube along three sides as shown in figure. Resultant of these forces is

physics-General
The resultant of 5 N along
and 5 N along
is

N along 
The resultant of
N along
and
N along
is
N along
.
The resultant of
physics-
A man standing on a hill top projects a stone horizontally with speed
as shown in figure. Taking the coordinate system as given in the figure. The coordinates of the point where the stone will hit the hill surface
Range of the projectile on an inclined plane (down the plane) is,

Here,
and 


Now
and
Here,

Now
and
A man standing on a hill top projects a stone horizontally with speed
as shown in figure. Taking the coordinate system as given in the figure. The coordinates of the point where the stone will hit the hill surface
physics-General
Range of the projectile on an inclined plane (down the plane) is,

Here,
and 


Now
and
Here,

Now
and
physics-
A particle is acted upon by a force
which varies with position
as shown in the figure. If the particle at
has kinetic energy of 25 J, then the kinetic energy of the particle at
is

Work done
Area under
-
graph with proper sign
Area of triangle
+ Area of rectangle
+ Area of rectangle
+ Area of 


….(i)
According to work energy theorem


[Using (i)]

According to work energy theorem
A particle is acted upon by a force
which varies with position
as shown in the figure. If the particle at
has kinetic energy of 25 J, then the kinetic energy of the particle at
is

physics-General
Work done
Area under
-
graph with proper sign
Area of triangle
+ Area of rectangle
+ Area of rectangle
+ Area of 


….(i)
According to work energy theorem


[Using (i)]

According to work energy theorem
physics-
A bob of mass
accelerates uniformly from rest to
in time
. As a function of
, the instantaneous power delivered to the body is

From 

Velocity acquired in
sec 
Power
Velocity acquired in
Power
A bob of mass
accelerates uniformly from rest to
in time
. As a function of
, the instantaneous power delivered to the body is

physics-General
From 

Velocity acquired in
sec 
Power
Velocity acquired in
Power
physics-
An aeroplane is flying in a horizontal direction with a velocity
at a height of 1960 m. when it is vertically above the point
on the ground, a body is dropped from it. The body strikes the ground at point
. Calculate the distance 

From 
We have

Horizontal distance


We have
Horizontal distance
An aeroplane is flying in a horizontal direction with a velocity
at a height of 1960 m. when it is vertically above the point
on the ground, a body is dropped from it. The body strikes the ground at point
. Calculate the distance 

physics-General
From 
We have

Horizontal distance


We have
Horizontal distance
Maths-
If the equation
represents an ellipse then
If the equation
represents an ellipse then
Maths-General
physics-
A particle of mass m moving with horizontal speed
as shown in figure. If
than for one dimensional elastic collision, the speed of lighter particle after collision will be


Substituting
A particle of mass m moving with horizontal speed
as shown in figure. If
than for one dimensional elastic collision, the speed of lighter particle after collision will be

physics-General

Substituting
Physics-
A particle of mass
attracted with a string of length
is just revolving on the vertical circle without slacking of the string. If
and
are speed at position
and
then

At 
At
and at
Thus,
Also,
So,

At
and at
Thus,
Also,
So,
A particle of mass
attracted with a string of length
is just revolving on the vertical circle without slacking of the string. If
and
are speed at position
and
then

Physics-General
At 
At
and at
Thus,
Also,
So,

At
and at
Thus,
Also,
So,
physics-
A simple pendulum is released from
as shown. If
and
represent the mass of the bob and length of the pendulum, the gain in kinetic energy at
is

Vertical height 
Loss of potential energy


Kinetic energy gained 
Loss of potential energy

A simple pendulum is released from
as shown. If
and
represent the mass of the bob and length of the pendulum, the gain in kinetic energy at
is

physics-General
Vertical height 
Loss of potential energy


Kinetic energy gained 
Loss of potential energy

Maths-
P(θ) and
are the pts. on the ellipse
then 
P(θ) and
are the pts. on the ellipse
then 
Maths-General
physics-
A ball of mass
rests on a vertical post of height
. A bullet of mass
, travelling with a velocity
in a horizontal direction, hits the centre of the ball. After the collision, the ball and bullet travel independently. The ball hits the ground at a distance of
and the bullet at a distance of
from the foot of the post. The initial velocity
of the bullet is

Applying momentum conservation just before and just after the collision
A ball of mass
rests on a vertical post of height
. A bullet of mass
, travelling with a velocity
in a horizontal direction, hits the centre of the ball. After the collision, the ball and bullet travel independently. The ball hits the ground at a distance of
and the bullet at a distance of
from the foot of the post. The initial velocity
of the bullet is

physics-General
Applying momentum conservation just before and just after the collision
physics-
A particle
is sliding down a frictionless hemispherical bowl. It passes the point
at
. At this instant of time, the horizontal component of its velocity
. A bead
of the same mass as
is ejected from
to
along the horizontal string
(see figure) with the speed
. Friction between the bead and the string may be neglected. Let
and
be the respective time taken by
and
to reach the point
. Then
For particle
, motion between
and
will be an accelerated one while between
and
a retarded one. But in any case horizontal component of it’s velocity will be greater than or equal to
on the other hand in case of particle
, it is always equal to
. Horizontal displacement of both the particles are equal, so 
A particle
is sliding down a frictionless hemispherical bowl. It passes the point
at
. At this instant of time, the horizontal component of its velocity
. A bead
of the same mass as
is ejected from
to
along the horizontal string
(see figure) with the speed
. Friction between the bead and the string may be neglected. Let
and
be the respective time taken by
and
to reach the point
. Then
physics-General
For particle
, motion between
and
will be an accelerated one while between
and
a retarded one. But in any case horizontal component of it’s velocity will be greater than or equal to
on the other hand in case of particle
, it is always equal to
. Horizontal displacement of both the particles are equal, so 