A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is____________________?

Related Mcqs:

1. A ball is dropped from a height of 16 m on a horizontal floor. If it rebounds to a height of 9 m after striking the floor, the coefficient of restitution between ball and floor is_____________________?

   A. 1/4
   B. 2/3
   C. 3/4
   D. 4/3

2. A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is___________________?

   A. 1/3
   B. 2/3
   C. 1/9
   D. 8/9

3. Two balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between the balls is____________________?

   A. 2/3
   B. 1/5
   C. 3/5
   D. 1/3

4. A body is dropped from a height of 100 m and at the same time another body is projected vertically upward with a velocity of 10 m/sec. The two particles will____________________?

   A. never meet
   B. meet after 1 sec
   C. meet after 5 sec
   D. meet after 10 sec

5. A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec, . The work required to stop the hoop is______________?

   A. 2 J
   B. 4 J
   C. 6 J
   D. 8 J

6. A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?

   1) 1.0 in from the wall
   2) 1.732 m from the wall
   3) 1.0 m above the floor
   4) 1.732 m above the floor
   The correct answer is?

   A. (1) and (3)
   B. (1) and (4)
   C. (2) and (3)
   D. (2) and (4)

7. If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is___________________?

   A. proportional to A
   B. proportional to A2
   C. proportional to 1/A2
   D. independent of A

8. One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is___________________?

   A. a simple harmonic motion
   B. a rectilinear motion with constant speed
   C. a damped oscillatory motion
   D. none of the above

9. A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is___________________?

   A. 1.00 m/sec
   B. 1.57 m/sec
   C. 3.14 m/sec
   D. 6.28 m/sec

10. A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan”1 x, where x is______________________?

    A. 3/4
    B. 4/5
    C. 5/3
    D. 3/5