Home
Class 11
PHYSICS
A small block of mass m=1 kg is placed o...

A small block of mass m=1 kg is placed over a wedge of mass M=4 kg as shown in figure. Mass m is released from rest. All surfaces are smooth. Origin O is as shown. `(g=10 m//s^(2))`

The block will strike the x-axis at x=........m.

A

`4.2`

B

`7.6`

C

`5.6`

D

`6.8`

Text Solution

Verified by Experts

The correct Answer is:
D
When 'm' leavers the wedge 'M' then wedge moves distance 'x' in left side
`:. M (4 - x) = Mx rArr = 0.8 m`
`:.` Co-ordinate where block will be leave wedge
`x = 4 - 0.8 = 3.2`
Time for m will strike the ground is `= sqrt((2 xx 2)/(10))`
`:. x_(f) = 3.2 + 4 sqrt2 xx (2)/(sqrt10) = 6.8 m`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-IV A|32 Videos

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-IV B|14 Videos

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-II|43 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise EXERCISE-IV ASSERTION & REASON|11 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 5 B (Integer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

Comprehension # 1 If net force on a system in a particular direction is zero (say in horizontal direction), we can apply: Sigmam_(R )x_(R )= Sigmam_(L)x_(L) , Sigmam_(R )v_(R )= Sigmam_(L)v_(L) and Sigmam_(R )a_(R ) = Sigmam_(L)a_(L) Here R stands for the masses which are moving towards right and L for the masses towards left, x is displacement, v is velocity and a the acceleration (all with respect to ground). A small block of mass m = 1 kg is placed over a wedge of mass M = 4 kg as shown in figure. Mass m is released from rest. All surface are smooth. Origin O is as shown. The block will strike the x-axis at x = ............ m :-

Comprehension # 1 If net force on a system in a particular direction is zero (say in horizontal direction), we can apply: Sigmam_(R )x_(R )= Sigmam_(L)x_(L) , Sigmam_(R )v_(R )= Sigmam_(L)v_(L) and Sigmam_(R )a_(R ) = Sigmam_(L)a_(L) Here R stands for the masses which are moving towards right and L for the masses towards left, x is displacement, v is velocity and a the acceleration (all with respect to ground). A small block of mass m = 1 kg is placed over a wedge of mass M = 4 kg as shown in figure. Mass m is released from rest. All surface are smooth. Origin O is as shown. Normal reaction between the two blocks at an instant when absolute acceleration of m is 5 sqrt3 m//s^(2) at 60^(@) with horizontal is ......... N. Normal reaction at this instant is making 30^(@) with horizontal.

A block of mass m is placed on a smooth wedge of mass M, as shown in the figure . Just after placiing block m over wedge M.

A block of mass m is released from a wedge of mass m as shown in figure . Find the time taken by the block to reach the end of the wedge.

A ball of mass m is released from A inside a smooth wedge of mass m as shown in figure. What is the speed of the wedge when the ball reaches point B?

A block of mass m, is kept on a wedge of mass M, as shown in figure such that mass m remains stationary w.r.t. wedge. The magnitude of force P is

A block of mass 1 kg is released from the top of a wedge of mass 2 kg. Height of wedge is 10 meter and all the surfaces are frictionless. Then

A smooth block of mass m is held stationary on a smooth wedge of mass M and inclination theta as shown in figure .If the system is released from rest , then the normal reaction between the block and the wedge is

A block of mass m is at rest on a rought wedge as shown in figure. What is the force exerted by the wedge on the block?

A block of mass m is at rest on a rough wedge as shown in figure. What is the force exerted by the wedge on the block?

ALLEN-CENTRE OF MASS-EXERCISE-III
  1. Statement I: If a ball projected up obliquely from the ground breaks u...

    Text Solution

    |

  2. A small block of mass m=1 kg is placed over a wedge of mass M=4 kg as ...

    Text Solution

    |

  3. A small block of mass m=1 kg is placed over a wedge of mass M=4 kg as ...

    Text Solution

    |

  4. Ratio of amplitude for two wave is 11:4.Find the ratio of intensity?

    Text Solution

    |

  5. A small block of mass m=1 kg is placed over a wedge of mass M=4 kg as ...

    Text Solution

    |

  6. Two bodies collide as shown in figure. During collision they exert imp...

    Text Solution

    |

  7. Two bodies collide as shown in figure. During collision they exert imp...

    Text Solution

    |

  8. Choose the correct answer: A ball collides at B with velocity 10m//s ...

    Text Solution

    |

  9. A car has total mass 50 kg. Gases are ejected from this car backwards ...

    Text Solution

    |

  10. A car has total mass 50 kg. Gases are ejected from this car backwards ...

    Text Solution

    |

  11. A car has total mass 50 kg. Gases are ejected from this car backwards ...

    Text Solution

    |

  12. One particle of mass 1 kg is moving along positive x-axis with velocit...

    Text Solution

    |

  13. One particle of mass 1 kg is moving along positive x-axis with velocit...

    Text Solution

    |

  14. One particle of mass 1 kg is moving along positive x-axis with velocit...

    Text Solution

    |

  15. A 1 kg block is given a velocity of 15 m/s towards right over a very l...

    Text Solution

    |

  16. A 1 kg block is given a velocity of 15 m/s towards right over a very l...

    Text Solution

    |

  17. Blocks shown in figure moves with constant velocity 20 m/s towards rig...

    Text Solution

    |

  18. Two block of equal mass m are connected by an unstreatched spring and ...

    Text Solution

    |

  19. Two block of equal mass m are connected by an unstreatched spring and ...

    Text Solution

    |

  20. Two block of equal mass m are connected by an unstreatched spring and ...

    Text Solution

    |