Physics-
A body of mass 
is moving with a uniform speed 
along a circle of radius 
, what is the average acceleration in going from 
to 
?
Physics-General
- None of these
Answer:The correct answer is: Here, 
Change in velocity is going from to = 
Average acceleration 
Book A Free Demo
+91 
Grade*
Select Grade
Related Questions to study
physics-
A body of mass 
is moving with a uniform speed of 
on friction less surface under the influence of two forces 
and 
. The net power of the system is
Speed is constant
Work done by forces = 0 Power 
A body of mass is moving with a uniform speed of on friction less surface under the influence of two forces and . The net power of the system is
physics-General
Speed is constant Work done by forces = 0 Power physics-
A small roller coaster starts at point A with a speed 
on a curved track as shown in the figure.
The friction between the roller coaster and the track is negligible and it always remains in contact with the track. The speed of roller coaster at point 
on the track will be
There is no loss of energy. Therefore, the final velocity is the same as the initial velocity.
Hence, The speed of roller coaster at point D is
Hence, The speed of roller coaster at point D is
A small roller coaster starts at point A with a speed on a curved track as shown in the figure.
The friction between the roller coaster and the track is negligible and it always remains in contact with the track. The speed of roller coaster at point on the track will be
physics-General
There is no loss of energy. Therefore, the final velocity is the same as the initial velocity.
Hence, The speed of roller coaster at point D is
Hence, The speed of roller coaster at point D is
physics-
A block(B) is attached to two unstretched springs 
with springs constants 
representively (see Fig. I) The other ends are attached to identical supports 
and 
not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block is displaced towards wall I by small distance 
and released. The block returns and moves a maximum distance y towards wall 2.Displacements 
are measured with respect to the equilibrium position of the block The ratio 
is
From energy conservation,
A block(B) is attached to two unstretched springs with springs constants representively (see Fig. I) The other ends are attached to identical supports and not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block is displaced towards wall I by small distance and released. The block returns and moves a maximum distance y towards wall 2.Displacements are measured with respect to the equilibrium position of the block The ratio is
physics-General
From energy conservation,
physics-
In a two dimensional motion of a particle, the particle moves from point , position vector 
. If the magnitudes of these vectors are respectively, 
=3 and 
and the angles they make with the 
-axis are 
and 15
, respectively, then find the magnitude of the displacement vector
Displacement 
angle between
and 
From figure
cos
angle between
and From figure
cosIn a two dimensional motion of a particle, the particle moves from point , position vector . If the magnitudes of these vectors are respectively, =3 and and the angles they make with the -axis are and 15, respectively, then find the magnitude of the displacement vector
physics-General
Displacement
angle between and
From figure
cos
angle between
and From figure
cosphysics-
A point 
moves in counter-clockwise direction on a circular path as shown in the figure. The movement of 
is such that it sweeps out a length 
, where 
is in metres and 
is in seconds. The radius of the path is 
. The acceleration of when 
is nearly
As 
at
at
A point moves in counter-clockwise direction on a circular path as shown in the figure. The movement of is such that it sweeps out a length , where is in metres and is in seconds. The radius of the path is . The acceleration of when is nearly
physics-General
As
at
at
maths-
The area of an ellipse is 8π sq. units dist. between the foci is 
then e=
The area of an ellipse is 8π sq. units dist. between the foci is then e=
maths-General
physics-
From an inclined plane two particles are projected with same speed at same angle 
, one up and other down the plane as shown in figure, which of the following statements is/are correct?
So,
. The acceleration of both the particles is 
downwards. Therefore, relative acceleration between the two I zero or relative motion between the two is uniform. The relative velocity of w.r.t. is towards
, therefore collision will take place between the two in mid air.From an inclined plane two particles are projected with same speed at same angle , one up and other down the plane as shown in figure, which of the following statements is/are correct?
physics-General
So,
. The acceleration of both the particles is downwards. Therefore, relative acceleration between the two I zero or relative motion between the two is uniform. The relative velocity of w.r.t. is towards, therefore collision will take place between the two in mid air.physics-
A particle is projected from a point with velocity 
at an angle of 
with horizontal as shown in figure. It strikes the plane 
at right angles. The velocity of the particle at the time of collision is
Let be the velocity at the time of collision
Then,
be the velocity at the time of collisionThen,
A particle is projected from a point with velocity at an angle of with horizontal as shown in figure. It strikes the plane at right angles. The velocity of the particle at the time of collision is
physics-General
Let be the velocity at the time of collision
Then,
be the velocity at the time of collisionThen,
maths-
If the chords of contact of 
and 
w.r.t the ellipse 
are at right angle then 
If the chords of contact of and w.r.t the ellipse are at right angle then
maths-General
physics-
A particle of a mass 
is subjected to a force which varies with distance as shown in fig. If it starts its journey from rest at 
, its velocity at 
is
Area between curve and displacement axis
In this time body acquire kinetic energy
By the law of conservation of energy
In this time body acquire kinetic energy
By the law of conservation of energy
A particle of a mass is subjected to a force which varies with distance as shown in fig. If it starts its journey from rest at , its velocity at is
physics-General
Area between curve and displacement axis
In this time body acquire kinetic energy
By the law of conservation of energy
In this time body acquire kinetic energy
By the law of conservation of energy
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 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
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 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 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,