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
it is clear that slope of 
curve is zero at point 
and 
for point and 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
it is clear that slope of curve is zero at point and for point and 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
Area covered in between acceleration-displacement curve and displacement axisA 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
= MassArea covered in between acceleration-displacement curve and displacement axis
= Mass
Area covered in between acceleration-displacement curve and displacement axisphysics-
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 
.
and 5 N along isN along The resultant of
N along and N along isN along .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 .
and 5 N along isN along The resultant of
N along and N along isN along .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,
and 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,
and 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)]
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)]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)]
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)]
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
sec 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
sec 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
the lighter particle will move in original direction with the speed of 
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
the lighter particle will move in original direction with the speed of 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
Kinetic energy gained 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
Kinetic energy gained 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
and 
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
and 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 
, 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
, 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 
