conservation of momentum jee questions

conservation of momentum and impluse jee questions

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To STUDYEVERTHING
Today, we are going to cover the MOST IMPORTANT QUESTION from PHYSICS chapter Impluse and Momentum for exams like CBSE board, NEET, JEE MAIN & JEE ADVANCE.

First try to solve the question on your own in the allotted time (45 minutes). Then check the answers.

If you want to know the answers in detail you can simply download the pdf file which is at the end of the session.

So, what are you waiting for,
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STUDY EVERTHING

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TIMER:

45min

1. A ball of mass 0.2kg rests on a vertical post of height 5m. A bullet of mass 0.01kg, traveling with velocity V m/s in horizontal direction, hits the centre of the ball. After the collision the ball and the bullet travel independently the ball hits the ground at a distance of 20m and bullet at a distance of 100m from the foot of the post. The velocity V of the bullet is
a.250m/s
b.250√2m/s
c.400m/s
d.500m/s

2. A bullet of mass 2kg is moving with a constant velocity of 20cm/s for 4s. The force acting on the body is
a.50dyne
b.50N
c.0.5N
d.None of these

3. A 4kg mass and 1kg mass is moving with equal kinetic energies. The ratio of their momenta is
a.3:1
b.1:1
c.4:1
d.2:1

4. Momentum of the body is
 (1). A vector quantity,
 (2). A conserved quantity in an isolated system,
 (3). Same as force in linear motion.

 Select the correct code given below
a.1 and 3
b. 2 and 3
c.1 and 2
d.1, 2 and 3

5. The magnitude of force acting on body varies with time t as shown in figure AB, BC and CD are straight line segments. The magnitude of the impulse of the force from t=4μs to t=16μs is

a.0.05
b.1
c.2
d.0.1

6. If the momentum of a body increases by 20% , then the kinetic energy will increases by
a.20%
b.40%
c.44%
d.50%

7. A ball hits the floor and rebounds after an inelastic collision. In this case
a.the momentum of the ball just after the collision is same that force before the collision
b.the mechanical energy of the ball remain same in the collision
c.the total momentum of the ball and the earth is conserved
d.the total energy of the ball and the earth is conserved

8. A particle of mass m moving in x direction with speed 2v is hit by another particle of mass 2m moving in y direction. If the collision is perfectly inelastic. The percentage loss in energy during the collision is close to
a.56%
b.62%
c.44%
d.50%

9. Statement 1:
If two particle moving in same direction don't lose all their energy in a completely inelastic collision
Statement 2:
Principle of conservation of momentum holds all kinds of collision.
a.Statement-1 is true, statement-2 is true; 2 is correct explanationof 1
b.Statement-1, statement-2 is true but statement-2 is not correct explanation of 1
c.statement-1 is true, statement-2 is false
d.statement-2 is true, statement-1 is false

10. A shell is fired from cannon with velocity v m/s at an angle θ with horizontal direction. At the highest point in its path it explode in into two pieces of equal mass. One of the pieces retraced its path to the cannon and the speed of another piece immediately after the explosion is
a.3v cosθ
b.2v cosθ
c.3/2cosθ
d.(2/3)^1/2cosθ

NUMERICAL TYPE

1. A bullet weighing 5g moving with velocity 600m/s strikes a 5kg block of ice resting on a frictionless surface. The speed of the block after the collision is (in m/s).

2. Two blocks of masses 2kg and 4kg are connected by a spring of negligible mass and placed on a frictionless horizontal surface. An impulse gives a velocity of 14m/s to the heavier block in a direction of the lighter block. The velocity of centre of the mass is (in m/s)

3. A machine gun fires a bullet of mass 40g with a velocity of 1200m/s. The man holding it can exert a maximum force of 144N on the gun. How many bullets can he fire per second at the most?

4. A bomb of mass 16kg at rest explodes in two pieces of mass 4kg and 12kg. The velocity of 12kg mass is 4m/s. The kinetic energy of the other mass is (in Joule)

5. The figure shows the position-time graph of in one dimensional motion of a body of mass 0.4kg. The magnitude of each impluse is (in N-s)

JEE ADVANCE

1. A particle of mass 0.4 kg is projected from the ground with its initial velocity u at an angle α with horizontal. At the highest point its trajectory, it makes a completely inelastic collision with the another identical particle, which was thrown vertically upward from the ground with the same initial speed u. The angle that the composite system makes with the horizontal immediately after the collision is
a.π/4
b.π/4+α
c.π/4-α
d.π/2

2. Two blocks and B, each of mass m, are connected by a massless spring of natural length L and spring constant K. The blocks are initially resting on the smooth horizontal floor with the spring as it's natural length as shown in figure. A third identical block C is also of mass m moves on the floor with speed v along the line joining A and B collide inelastically with A. Then

a.the kinetic energy of the A-B system, at the maximum compression of the spring is zero
b.the kinetic energy of the A-B system, at the maximum compression of the spring, is mv² /4
c.the maximum compression of the spring is v(m/K)^1/2
d.the maximum compression of the spring is v(m/2K)^1/2

3. A ball of mass 100g is projected vertically upward from the ground with the velocity of 49m/s. At the same time another identical ball is dropped from height 98m to fall freely along the same path as that followed by the first ball. After some time two balls collide and stick together and finally fall to the ground. Find the time of flight of the masses
a.6.53
b.10
c.5.62
d.8.7

4. A car p is moving with a uniform speed of 5√2 toward a carriage of mass 9kg at rest kept on the rails at a point B as shown in figure. The height AC is 120m. Cannon balls of 1kg fired from the car with initial velocity 100m/s at an angle 30° with horizontal. The first cannon ball hits the stationary carriage after a time t and strikes to it. Determine t_°

a.12
b.2
c.10
d.20

5. A Bob of mass m suspended by a string of length l₁ is given a minimum velocity required to complete a full circle in a vertical plane. At the highest point it collide elastically with another Bob of mass m suspended by a string of length l₂ which is initially at rest. Both the strings are massless and inextensible. If the second bob, after the collision acquired the minimum speed required to complete a full circle in a vertical plane, the ratio of l₁/l₂ is
a.3
b.5
c.2
d.9

Download the detailed answer pdf of the most important questions from Chapter Impluse and Momentum.

Unit and measurements  most important  questions	click here
Kinamatic most important questions	click here
Law of motion most important questions	click here
Work, energy and power most important questions	click here
Nit cutoff	click here
Iiit cutoff	click here

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