Home
Class 11
PHYSICS
A block A of mass 2 kg is moving to righ...

A block A of mass `2 kg` is moving to right with a speed of 5 m/s on a horizontal smooth surface. Another block B of mass 2 kg, with a mass less spring of force constant `K =200` N/m attached to it, is moving to left on the same surface with a speed of 3 m/s. Block A collides with the spring attached to B. Calculate
(a) the final velocity of the block A.
(b) the minimum kinetic energy of the system of two blocks during subsequent motion.
(c) Repeat part (b) if there is no spring and the two blocks collide head on. Assume that the blocks are made of perfectly elastic material

Text Solution

Verified by Experts

The correct Answer is:
(a) `3m//2` towards left
(b) `K_(min) = 2J`
(c) `K_(min) = 2J`
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY OF GASES

    ARIHANT|Exercise Level 3|4 Videos
  • NEWTONS LAWS OF MOTION

    ARIHANT|Exercise All Questions|111 Videos

Similar Questions

Explore conceptually related problems

A body of mass 5 kg moving with a speed of 1.5 m/s on a horizontal smooth surface collides with a nearly weightless spring of force constant k = 5 N/m. The maximum compression of the spring would be

A mass of 0.5 kg moving with a speed of 1.5 m//s on a horizontal smooth surface, collides with a nearly weightless spring of force constant k =50 N//m The maximum compression of the spring would be.

mass of 0.5 kg moving with a speed of 1.5 m//s on a horizontal smooth surface, collides with a nearly weightless spring of force constant k = 50 N/m. The maximum compression of the spring would be

In figure, a block A of mass 2kg is moving to the right with a speed 5m//s on a horizontal frictionless surface. Another block B of mass 3kg a massless spring of spring constant 222N//m attached to it, is moving to the left on the same surface and with a speed 2m//s . Let us take the direction to the right as the positive X- direction. At some instant, block A collides with the spring attached to block B . At some other instant , the spring has maximum compression and then, finally, blocks move with their final velocities. Assuming that (i) the spring force is conservative and so there is no conversion of kinetic energy to internal energy and (ii) , no sound is made when block A hits the spring, answer the following questions. When the blocks are yet to attain their final velocities, in this situation at any instant when block A is moving with a velocity 4 hat(i) m//s , velocity of block B will then be :

In figure, a block A of mass 2kg is moving to the right with a speed 5m//s on a horizontal frictionless surface. Another block B of mass 3kg a massless spring of spring constant 222N//m attached to it, is moving to the left on the same surface and with a speed 2m//s . Let us take the direction to the right as the positive X- direction. At some instant, block A collides with the spring attached to block B . At some other instant , the spring has maximum compression and then, finally, blocks move with their final velocities. Assuming that (i) the spring force is conservative and so there is no conversion of kinetic energy to internal energy and (ii) , no sound is made when block A hits the spring, answer the following questions. Velocity of centre of mass of the system of blocks A and B , before collision is :

In figure, a block A of mass 2kg is moving to the right with a speed 5m//s on a horizontal frictionless surface. Another block B of mass 3kg a massless spring of spring constant 222N//m attached to it, is moving to the left on the same surface and with a speed 2m//s . Let us take the direction to the right as the positive X- direction. At some instant, block A collides with the spring attached to block B . At some other instant , the spring has maximum compression and then, finally, blocks move with their final velocities. Assuming that (i) the spring force is conservative and so there is no conversion of kinetic energy to internal energy and (ii) , no sound is made when block A hits the spring, answer the following questions. Final velocity of centre of mass of the system of blocks A and B will be :

In figure, a block A of mass 2kg is moving to the right with a speed 5m//s on a horizontal frictionless surface. Another block B of mass 3kg a massless spring of spring constant 222N//m attached to it, is moving to the left on the same surface and with a speed 2m//s . Let us take the direction to the right as the positive X- direction. At some instant, block A collides with the spring attached to block B . At some other instant , the spring has maximum compression and then, finally, blocks move with their final velocities. Assuming that (i) the spring force is conservative and so there is no conversion of kinetic energy to internal energy and (ii) , no sound is made when block A hits the spring, answer the following questions. Find velocity of block A will be :

In figure, a block A of mass 2kg is moving to the right with a speed 5m//s on a horizontal frictionless surface. Another block B of mass 3kg a massless spring of spring constant 222N//m attached to it, is moving to the left on the same surface and with a speed 2m//s . Let us take the direction to the right as the positive X- direction. At some instant, block A collides with the spring attached to block B . At some other instant , the spring has maximum compression and then, finally, blocks move with their final velocities. Assuming that (i) the spring force is conservative and so there is no conversion of kinetic energy to internal energy and (ii) , no sound is made when block A hits the spring, answer the following questions. Maximum compression of the spring in the collision will be nearly

In figure, a block A of mass 2kg is moving to the right with a speed 5m//s on a horizontal frictionless surface. Another block B of mass 3kg a massless spring of spring constant 222N//m attached to it, is moving to the left on the same surface and with a speed 2m//s . Let us take the direction to the right as the positive X- direction. At some instant, block A collides with the spring attached to block B . At some other instant , the spring has maximum compression and then, finally, blocks move with their final velocities. Assuming that (i) the spring force is conservative and so there is no conversion of kinetic energy to internal energy and (ii) , no sound is made when block A hits the spring, answer the following questions. In the collision process, while the spring is getting compressed :

ARIHANT-MOMENTUM AND CENTRE OF MASS-Momentum And Center of Mass
  1. Two identical blocks A and B have two identical springs fixed to them ...

    Text Solution

    |

  2. A particle of mass m is flying horizontally at velocity u. It strikes ...

    Text Solution

    |

  3. A block A of mass 2 kg is moving to right with a speed of 5 m/s on a h...

    Text Solution

    |

  4. A box of mass M is at rest on a horizontal surface. A boy of mass m (l...

    Text Solution

    |

  5. A smooth ball A travels towards another identical ball B with a veloci...

    Text Solution

    |

  6. (a) Two identical balls are moving along X axis and undergo an elastic...

    Text Solution

    |

  7. Two particles of mass m each are attached to the end of a mass less sp...

    Text Solution

    |

  8. Two blocks of mass m(1) and m(2) are moving along a smooth horizontal ...

    Text Solution

    |

  9. A ball moving with velocity V(0), makes a head on collision with anoth...

    Text Solution

    |

  10. A particle having charge +q and mass m is approaching (head on) a free...

    Text Solution

    |

  11. In the system shown in fig. block of mass M is placed on a smooth hori...

    Text Solution

    |

  12. Starting from a height H, a ball slips without friction, down a plane ...

    Text Solution

    |

  13. Hailstorms are observed to strike the surface of a frozen lake at an ...

    Text Solution

    |

  14. A ball of mass m approaches a heavy wall of mass M with speed 4 m/s al...

    Text Solution

    |

  15. A particle is thrown upward with speed 20 sqrt(2) m/s. It strikes the ...

    Text Solution

    |

  16. 2n identical cubical blocks are kept in a straight line on a horizonta...

    Text Solution

    |

  17. A small ball with mass M = 0.2 kg rests on top of a vertical column wi...

    Text Solution

    |

  18. Figure shows a circular frictionless track of radius R, centred at poi...

    Text Solution

    |

  19. A rectangular billiard table has dimensions AB = 4 sqrt(3) feet and B...

    Text Solution

    |

  20. Blocks shown in figure have been placed on a smooth horizontal surface...

    Text Solution

    |