Home
Class 12
PHYSICS
A wagon fully loaded with sand moue on p...

A wagon fully loaded with sand moue on parallel rails with constant speed v, Now, bottom door of wagon s partially opened and sand starts falling at the rate m kg per second. Find ext. force req. (if any) to keep pull of wagon constant as function of time?

A

0

B

`(Ft)/(M_(0)+mut)`

C

`(2Ft)/(M_(0)+mut)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS

    MOTION|Exercise Exercise - 2 (Level-I)|40 Videos
  • CENTRE OF MASS

    MOTION|Exercise Exercise - 2 (Level-II)|28 Videos
  • CENTRE OF MASS

    MOTION|Exercise Exercise - 4 Level-II|20 Videos
  • Capacitance

    MOTION|Exercise EXERCISE -4 LEVEL II|19 Videos
  • CIRCULAR MOTION

    MOTION|Exercise EXERCISE - 4|16 Videos

Similar Questions

Explore conceptually related problems

A rectangular tank of mass m_(0) and charge Q is placed over a smooth horizontal floor. A horizontal electric field£ exist in the region. Rain drops are falling vertically in the tank at the constant rate of n drops per second. Mass of each drop is m. Find velocityoftank as function of time.

An ideal gas of molar mass M is enclosed in a vessel of volume of V whose thin walls are kept at a constant temperature T . At a moment t = 0 a small hole of area S is opened, and the gas starts escaping into vacuum. Find the gas concentration n as a function of time t if at the initial moment n (0) = n_0 .

A cart loaded with sand moves along a horizontal floor due to a constant force F coinciding in direction with cart's velocity vector. In the process, the sand spills through a hole in the bottom with a constant rate mukg//s. Find the acceleration and velocity of the cart at the moment t , if at the initial moment t=0 the cart with loaded sand had mass m_(0) and its velocity was equal to zero. Friction is to be neglected.

An empty tin can of mass M is sliding with speed V_(0) across a horizontal sheet of ice in a rain storm. The area of opening of the can is A. The rain is falling vertically at a rate of n drops per second per square metre. Each rain drop has a mass m and is falling with a terminal velocity V^(n) . (a) Neglecting friction, calculate the speed of the can as a function of time,(b) Calculate the normal force ofreaction ofice on the can as a function of time.

Two parallel long smooth conducting rails separated by a distance l are connected by a movable conducting connector of mass m . Terminals of the rails are connected by the resistor R and the capacitor C as shown in figure. A uniform magnetic field B perpendicular to the plane of the rail is switched on. The connector is dragged by a constant force F . Find the speed of the connector as a function of time if the force F is applied at t = 0 . Also find the terminal velocity of the connector.

A parallel plate capacitor is made by fixing two plates inside of a container as shown in figure. The plates are connected to a battery of voltage V . If at t=0 the tap is opened from which a liquid of dielectric constant k starts filling in the container at a constant rate of rm^(3)//s , find the current in connecting wires as a function of time. Neglect any resistance in connecting wires.

Find an expression for, the acceleration and speed of a trolley A under the action of a constant force F if it contains sand that pours out through the floor at the rate of mu per second. The speed of the trolley at t=0 was v=0 and the initital mass of sand and trolley was M_(0)

A cart loaded with sand moves along a horizontal plane due to a constant force F coinciding in direction with the cart's velocity vector. In the process, sand spills through a hole in the bottom with a constant velocity mu kg//s . Find the acceleration and the velocity of the cart at the moment t, if at the initial moment t=0 the cart with loaded sand had the mass m_0 and its velocity was equal to zero. The friction is to be neglected.

If rocket engine ejects fuel at the rate mu kg/s with relative velocity v_(r) . At time t = 0, speed of rocket is u. Consider the value of acceleration due to gravity is constant and equal to g. If rocket is in gravity free space then find velocity of rocket as function of time.

MOTION-CENTRE OF MASS-Exercise - 1
  1. Two blocks of masses 10 kg and 4 kg are connected by a spring of negli...

    Text Solution

    |

  2. A ball strikes a smooth horizontal ground at an angle of 45^(@) with t...

    Text Solution

    |

  3. In an inelastic collision-

    Text Solution

    |

  4. Two perfectly elastic balls of same mass m are moving with velocities ...

    Text Solution

    |

  5. When two bodies collide elastically, then

    Text Solution

    |

  6. A ball hits the floor and rebounds after an inelastic collision . In t...

    Text Solution

    |

  7. Six steel balls of identical size are lined up long a straight frictio...

    Text Solution

    |

  8. The bob of a simple pendulum of length l dropped from a horizontal pos...

    Text Solution

    |

  9. Two balls A and B having masses 1 kg and 2 kg, moving with speeds 21 m...

    Text Solution

    |

  10. A truck moving on horizontal road east with velocity 20ms^(–1) collide...

    Text Solution

    |

  11. A sphere of mass m moving with a constant velocity hits another statio...

    Text Solution

    |

  12. Three blocks are initially placed as shown in the figure. Block A has ...

    Text Solution

    |

  13. Two billiard balls undergo a head-on collision. Ball 1 is twice as hea...

    Text Solution

    |

  14. A ball is dropped from a height h. As it bounces off the floor, its sp...

    Text Solution

    |

  15. A ball is thrown vertically downwards with velocity sqrt(2gh) from a h...

    Text Solution

    |

  16. A chain of mass M and length l is held vertically such that its bottom...

    Text Solution

    |

  17. Two particles of masses m(1) and m(2) in projectile motion have veloci...

    Text Solution

    |

  18. A trolley filled with sand moves on a smooth horizontal surface with a...

    Text Solution

    |

  19. Find velocity of wagon as function of time when it is being filled wit...

    Text Solution

    |

  20. A wagon fully loaded with sand moue on parallel rails with constant sp...

    Text Solution

    |