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### Related Questions to study

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-

#### 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

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 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-

#### 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)]

….(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)]

….(i)

According to work energy theorem

[Using (i)]

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 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-

#### 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 .

N along

The resultant of N along and N along is

N 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 .

N along

The resultant of N along and N along is

N along .

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 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-

#### 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

physics-General

and

Applying momentum conservation just before and just after the collision

Applying momentum conservation just before and just after the collision

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 axis

#### 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 Area covered in between acceleration-displacement curve and displacement axis

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

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

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