Home
Class 12
PHYSICS
Two girls of equal mass m jump off from ...

Two girls of equal mass `m` jump off from the border line of a stationary carriage of mass `M` with same horizontal velocity `u` relative to the carriage in same direction. Neglect the effect of friction. Mark correct options.

A

They will impart greater velocity to the carriage by jumping of simultaneously

B

They will impart greater velocity to the carriage by jumping one after the other

C

They will impart same velocity to the carriage in whatever manner they jump off.

D

Insufficient data to reply

Text Solution

Verified by Experts

The correct Answer is:
B

Ans.(2)
When girls jump one by one total velocity of the system will be more (because from conservation of momentum, velocity of car in this case will be
`u_(car)=u((1)/(M+2m)+(1)/(M+m))m` instead of
`m u((1)/(M+2m)+(1)/(M+2m))` when they jump simultaneously.
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A man of mass m stands on a long flat car of mass M , moving with velocity V.If he now begins to run with velocity u, with respect to the car , in the same direction as V, the the velocity of the car will be

A body of mass m moving with a velocity strikes a stationary body having same mass . What will be the ratio of velocity of two bodies after the collision if the coefficient of restitution is e .

A railway carriage of mass M_(c) filled with sand of mass M_(s) moves along the rails. The carriage is given an impulse and it starts with a velocity v_(0) . At the same time it is observed that the sand starts leaking through a hole at the bottom of the carriage at a constant mass rate lambda . Find the distance at which the carriage becomes empty and the velocity attained by the carriage at that time. (Neglect the friction along the rails).

A man of mass m is standing on a stationary flat car of mass M. The car can move without friction along horizontal rails. The man starts walking with velocity v relative to the car. Work done by him

Relative speed of two bodies moving in same direction with speed u and v m/s: where (u>v)

Two particles of equal mass are moving along the same line with the same speed in the same direction. What is the speed of the centre of mass of the system ?

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 ?

Two men, each of mass m, stand on the edge of a stationary buggy of mass M. Assuming the friction to be negligible, find the velocity of the buggy after both men jump off with the same horizontal velocity u relative to the buggy: (1) simultaneously, (2) one after the other. In what case will the velocity of the buggy be greater and how many times?

A circular hoop of mass m and radius R rests flat on a horizontal smooth surface. A bullet of same mass m and moving with velocity upsilon strikes the hoop tangentially and gets embedded in it. Neglect the thickness of hoop in comparision to radius of hoop. Mark the correct option

A particle of mass m is given a velocity u on a rough horizontal surface of friction coefficient mu . The average power imparted by friction until it stops is

ALLEN-TEST PAPER-Exercise (Physics)
  1. A cricket ball of mass 160g is moving horizontally directly towards a ...

    Text Solution

    |

  2. A particle of mass 4 m which is at rest explodes into masses m, m & 2m...

    Text Solution

    |

  3. Two girls of equal mass m jump off from the border line of a stationar...

    Text Solution

    |

  4. Two identical ball bearings in contact with each other and resting on ...

    Text Solution

    |

  5. Three different projectiles, each with the same mass, are fired with s...

    Text Solution

    |

  6. Three bodies are moving as shown below. The total kinetic energy of th...

    Text Solution

    |

  7. Two particles are projected at the same instant with speeds v(1) and v...

    Text Solution

    |

  8. Two particles of equal masses moving with same collide perfectly inela...

    Text Solution

    |

  9. The linear density of a non-uniform rod of length 2m is given by lamda...

    Text Solution

    |

  10. If the volume of a sphere increases at constant rate ((dv)/(dt)=4). I...

    Text Solution

    |

  11. Potential Energy U(x) and associated force F(x) bears the relation F(x...

    Text Solution

    |

  12. Electric current in a wire is time rate of flow of charge. The charge ...

    Text Solution

    |

  13. A metal rod extends on the x-axis from x=0m to x=4m. Its linear densit...

    Text Solution

    |

  14. An airplane takes off at an angle 30^(@) with the horizontal ground tr...

    Text Solution

    |

  15. If vectors vec(A)=(hat(i)+2hat(j)+3hat(k))m and vec(B)=(hat(i)-hat(j)...

    Text Solution

    |

  16. Position of a particle moving along straight line is given by x(t)=(A)...

    Text Solution

    |

  17. Acceleration time graph of a particle moving along a straight line is ...

    Text Solution

    |

  18. Two smooth sphere each of radius 5cm and weight W rest one on the othe...

    Text Solution

    |

  19. The position of a particle moving along x-axis varies with time t acco...

    Text Solution

    |

  20. A particle of mass m is moving with constant speed in a vertical circl...

    Text Solution

    |