A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be____________________?

Related Mcqs:

1. If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to_________________?

   A. A
   B. A/2
   C. A/V2
   D. AV2

2. A disc of mass 4 kg, radius 0.5m and moment of inertia 3 kg-m2 rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is ___________________?

   A. 50 J
   B. 150 J
   C. 200 J
   D. 400 J

3. 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

4. The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by__________________?

   A. 1:2
   B. 1:1
   C. 2:1
   D. 3:1

5. 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

6. 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

7. A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is___________________?

   A. 4.5 J
   B. 9.0 J
   C. 12.0 J
   D. 18.0 J

8. 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

9. A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is________________?

   A. (1/3) g sinB
   B. (2/3) g cos 9
   C. (2/3) g sin 0
   D. g sin 9

   where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal

10. 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