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____________________?

Related Mcqs:

1. 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

2. 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____________________?

   A. 0.5 m
   B. 0.75 m
   C. 1.0 m
   D. 1.5 m

3. 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

4. The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is_________________?

   A. 64 J
   B. 400 J
   C. 464 J
   D. 89 J

5. 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

6. Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction. The speeds of the objects are____________________?

   A. 2 m/sec and 2 m/sec
   B. 3 m/sec and 2 m/sec
   C. 3 m/sec and 3 m/sec
   D. 4 m/sec and 6 m/sec

7. 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

8. A cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are____________________?

   A. 1346.3 kN and 1500 kN
   B. 1436.2 kN and 1250 kN
   C. 1346.3 kN and 1250 kN
   D. 1436.2 kN and 1500 kN

9. A ladder of weight ‘w’ rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight ‘w’ is to walk to the top of it safely, is tan’1 x, where x is___________________?

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

10. A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is_____________________?

    A. less than (1/3) tan 0
    B. less than (2/3) tan 0
    C. less than (1/3) sin 6
    D. less than (2/3) sin 6