Home
Class 12
PHYSICS
A ball B is suspended from a string of l...

A ball B is suspended from a string of length l attached to a cart A, which may roll on a frictionless surface. Initially the cart is at rest and the ball is given a horizontal velocity `v_(0)`. Determine
the velocity of B as it reaches the maximum height.

Text Solution

Verified by Experts

The correct Answer is:
`v=(m_(B)v_(0))/(m_(A)+m_(B))`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS

    MOTION|Exercise Exercise - 3 Level-II|16 Videos

  • CENTRE OF MASS

    MOTION|Exercise Exercise - 4 Level-I|18 Videos

  • CENTRE OF MASS

    MOTION|Exercise Exercise - 2 (Level-II)|28 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 ball B is suspended from a string of length l attached to a cart A, which may roll on a frictionless surface. Initially the cart is at rest and the ball is given a horizontal velocity v_(0) . Determine the maximum height reached by the ball.

A mass m is hanging by a string of length l. The velocity v_(0) which must be imparted to it to just reach the top is

Two small balls A and B are interconnected by an inextensible string of legth L. Mass of ball A =m, mass of ball B = m. the balls are resting on a frictionlesss harixontal surgace , with the distance between them =3L.5 In this position ball A is suddenly given a harizontal velocity v_(0) perpendicular to the line joining the two balls. (see fig 4E . 18 (a)) (a) Find the speed of ball B houst after the string becomes taut (b) find the impulse of the tension in string when the string becomes taut. (c) Find the steady tension in string much after the string has become taut.

A small bob mass 'm' is suspended by a massless string from a cart of the same mass 'm' as shown in the figure. The friction between the cart and horizontal ground is negligible. The bob is given a velocity V_(0) in horizontal direction as shown. The maximum height attained by the bob is , ( initially whole system ( bob + string + cart ) was at rest ) .

In the figure shown, the cart of mass 6m is initially at rest. A particle of mass m is attached to the end of the light rod which can rotate freely about A. If the rod is released from rest in a horizontal position shown, determine the velocity v_(rel) of the particle with respect to the cart when the rod is vertical. (Assume frictionless surface)

A ball of negligible size and mass m is given a velocity v_0 on the centre of the cart which has a mass M and is originally at rest. If the coefficient of restitution between the ball and walls A and B is e. Determine the velocity of the ball and the cart just after the ball strikes A. Also, determine the total time needed for the ball to strike A, rebound, then strike B, and rebound and then return to the centre of the cart. Neglect friction.

In the figure shown, the cart of mass 6m is initially at rest. A particle of mass in is attached to the end of the light rod which can rotate freely about A . If the rod is released from rest in a horizontal position shown, determine the velocity v_(rel) of the particle with respect to the cart when the rod is vertical.

MOTION-CENTRE OF MASS-Exercise - 3 Level-I
  1. In the arrangement shown in Figure, mA=2kg and mB=1kg. String is light...

    Text Solution

    |

  2. A small cube of mass m slides down a circular path of radius R cut int...

    Text Solution

    |

  3. A (trolley + child) of total mass 200 kg is moving with a uniform spee...

    Text Solution

    |

  4. A ball B is suspended from a string of length l attached to a cart A, ...

    Text Solution

    |

  5. A ball B is suspended from a string of length l attached to a cart A, ...

    Text Solution

    |

  6. A wedge of mass M = 2m rests on a smooth horizontal plane. A small blo...

    Text Solution

    |

  7. A small sphere of radius r = 2cm and mass ‘m’ is placed on a big spher...

    Text Solution

    |

  8. In the figure shown the spring is compressed by 'x(0)' and released . ...

    Text Solution

    |

  9. In the figure shown the spring is compressed by 'x(0)' and released . ...

    Text Solution

    |

  10. 2 mass of block 2 kg & 4 kg are attached to a stiffness spring 100 N/m...

    Text Solution

    |

  11. The figure showns the force versus time graph for a particle. Find t...

    Text Solution

    |

  12. The figure showns the force versus time graph for a particle. Find t...

    Text Solution

    |

  13. A force F acts on an object (mass=1 kg) which is initially at rest as ...

    Text Solution

    |

  14. A man hosing down his driveway hits the wall by mistake. Knowing that ...

    Text Solution

    |

  15. A bullet of mass m strikes an obstruction and deviates off at 60° to i...

    Text Solution

    |

  16. A neutron intially at rest, decays into a proton, an electron and an a...

    Text Solution

    |

  17. A neutron initially at rest, decays into a proton, an electron and an ...

    Text Solution

    |

  18. A steel ball of mass 0.5 kg is dropped from a height of 4 m on to a ho...

    Text Solution

    |

  19. A steel ball of mass 0.5 kg is dropped from a height of 4 m on to a ho...

    Text Solution

    |

  20. Find thrust force on hose pipe if density of water is 10^(3) kg//m^(3)...

    Text Solution

    |