Home
Class 12
PHYSICS
A man of mass m jumps onto a boat which ...

A man of mass `m` jumps onto a boat which has a mass `M`. If the person has a horizontal component of velocity `v` relative to boat, just before he enters the boat and the boat is travelling at speed `v_(0)` away from the pier when he makes the jump, the resulting speed of man and boat is

A

`(mv+(M+m)v_(0))/(M+m)`

B

`(mv)/(M+m)`

C

`(Mv_(0))/(M+m)+(mv)/(M+m)`

D

`(mv+Mv_(0))/(M+m)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE|Exercise Assignment (Section - C) Objective Type Questions (More than one option are correct)|28 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE|Exercise Assignment (Section - D) Linked Comprehension Type Questions|20 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE|Exercise Assignment (Section - A) Objective Type Questions (One option is correct)|62 Videos

  • SEMICONDUCTOR ELECTRONICS: MATERIALS, DEVICES AND SIMPLE CIRCUITS

    AAKASH INSTITUTE|Exercise Assignment (Section-D (Assertion and reason))|5 Videos

  • TEST 1

    AAKASH INSTITUTE|Exercise EXERCISE|9 Videos

Similar Questions

Explore conceptually related problems

A girl of mass 50 kg jumps out of a rowing boat of mass 300 kg on to the bank, with a horizontal velocity of 3 m/s. With what velocity does the boat begin to move backwards ?

A motor boat is travelling with a speed of 3.0m / sec . If the force on it due to water flow is 500 N , the power of the boat is

Is the boat pushed away when a man jumps out of the boat?

A man of mass m runs without sliding from rest from one end of a boat of mass M and length l with an acceleration a relative to the boat. If the friction between water and boat is neglected find the a. acceleration of CM of the system (M+m) b. acceleration of the man and boat c. position of man at the time when he reaches to other end of the boat d. frictional force e. work done by friction on boat. f. total work done by friction. g. velocities of man and boat when the man reaches other end of the boat. h. work down by man

A man of 80 kg attempts to jump from the small boat of mass 40 kg on to the shore. He can generate a relative velocity of 6 m/s between him and boat. His velocity towards shore is

A man of mass 60 kg is standing on a boat of mass 140 kg, which is at rest in still water. The man is initially at 20 m from the shore. He starts walking on the boat for 4 s with constant speed 1.5 m/s towards the shore. The final distance of the man from the shore is

A man rows a boat with a speed of 18 km/hr in northwest direction. The shoeline makes an angle of 15^(@) south of west. Obtain the component of the velocity of the boat along the shoreline:

A boy of mass m is riding on a trolley of mass M which is moving on smooth floor at speed v_(0) . He jumps off in the opposite direction of motion of trolley with velocity u relative to the trolley before the jump. Find the velocity of the trolley after jump.

AAKASH INSTITUTE-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-Assignment (Section - B) Objective Type Questions (One option is correct)
  1. A body of mass m is projected from ground for horizontal range R. At t...

    Text Solution

    |

  2. A man of mass 50 kg us standing on a 100 kg plank kept on a fricitonle...

    Text Solution

    |

  3. A man of mass m jumps onto a boat which has a mass M. If the person ha...

    Text Solution

    |

  4. Two smooth prisms of similar right-triangular sections are arranged on...

    Text Solution

    |

  5. Spring Gun Recoil A loaded spring gun, initially at rest on a horizo...

    Text Solution

    |

  6. Two blocks of mass 2kg and 5kg are given speed as shown in the figure....

    Text Solution

    |

  7. A ball is allowed to fall from rest on a horizontal floor from a heigh...

    Text Solution

    |

  8. A particle is dropped from rest from a height h(0) on a horizontal flo...

    Text Solution

    |

  9. During collision between the objects.

    Text Solution

    |

  10. A particle of mass m moving with a speed u strikes a smooth horizontal...

    Text Solution

    |

  11. A particle collides with a smooth, surface with speed u at an angle th...

    Text Solution

    |

  12. A particle of mass m strikes a disc of radius R and mass m with a spee...

    Text Solution

    |

  13. Two identical billiard balls are in contact on a table. A third identi...

    Text Solution

    |

  14. Two blocks A and B of mass 2m and m respectively are connected to a ma...

    Text Solution

    |

  15. A ball of mass M moving with speed v collides perfectly inelastically ...

    Text Solution

    |

  16. A body of mass m moving with a velocity v is approaching a second obje...

    Text Solution

    |

  17. A body of mass M is moving on a smooth surface with speed v(0). Anoth...

    Text Solution

    |

  18. A rigid rod is rotating as well as translating on a smooth horizontal ...

    Text Solution

    |

  19. For the equilibrium of the system shown, the value of mass m should be

    Text Solution

    |

  20. A rod AB of mass m is hung by two ideal threads. Find the ratio of ten...

    Text Solution

    |