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
PhysicsGeneral

 Zero


Answer:The correct answer is: Zero Speed is constant
Work done by forces = 0
Power
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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 ?
Here,
Change in velocity is going from to =
Average acceleration
Change in velocity is going from to =
Average acceleration
A body of mass is moving with a uniform speed along a circle of radius , what is the average acceleration in going from to ?
physicsGeneral
Here,
Change in velocity is going from to =
Average acceleration
Change in velocity is going from to =
Average acceleration
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?
physicsGeneral
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,
Then,
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
physicsGeneral
Let be the velocity at the time of collision
Then,
Then,
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
physicsGeneral
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
physicsGeneral
From energy conservation,
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
physicsGeneral
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
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
cos
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
physicsGeneral
Displacement
angle between and
From figure
cos
angle between and
From figure
cos
physics
A point moves in counterclockwise 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 counterclockwise 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
physicsGeneral
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=
mathsGeneral
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
mathsGeneral
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
physicsGeneral
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
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
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
physicsGeneral
and
Applying momentum conservation just before and just after the collision
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
mathsGeneral
maths
P is a point on the ellipse , S and are the focii of the ellipse then
P is a point on the ellipse , S and are the focii of the ellipse then
mathsGeneral
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
physicsGeneral
Vertical height
Loss of potential energy
Kinetic energy gained
Loss of potential energy
Kinetic energy gained