Home
Class 11
PHYSICS
Three spheres, each of mass m, can slide...

Three spheres, each of mass `m`, can slide freely on a frictionless, horizontal surface. Spheres `A` and `B` are attached to an inextensible, inelastic cord of length `l` and are at rest in the position shown where sphere `B` is struck by sphere `C` which is moving to the right with a velocity `v_(0)`. Knowing that the cord is taut where sphere `B` is struck by sphere `C` and assuming 'head on' inelastic impact between `B` and `C`, we cannot conserve kinetic energy of the entire system.

The magnitude of velocity of `A` immediately after collision is

A

`hatj`

B

`1/2hati+sqrt(3)/2hatj`

C

`hatj`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
velocity of `A:vecv_(1)=v_(1)costhetahati+v_(1)sinthetahatj`
`impliesvecv_(1)=costhetahati+sinthetahatj=1/2hati+(sqrt(3))/2hatj`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CENTRE OF MASS

    CENGAGE PHYSICS ENGLISH|Exercise Integer|16 Videos

  • CENTRE OF MASS

    CENGAGE PHYSICS ENGLISH|Exercise Fill In The Blanks|2 Videos

  • CENTRE OF MASS

    CENGAGE PHYSICS ENGLISH|Exercise Assertion - Reasoning|2 Videos

  • CALORIMETRY

    CENGAGE PHYSICS ENGLISH|Exercise Solved Example|13 Videos

  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS ENGLISH|Exercise Integer|2 Videos

Similar Questions

Explore conceptually related problems

Three spheres, each of mass m , can slide freely on a frictionless, horizontal surface. Spheres A and B are attached to an inextensible, inelastic cord of length l and are at rest in the position shown where sphere B is struck by sphere C which is moving to the right with a velocity v_(0) . Knowing that the cord is taut where sphere B is struck by sphere C and assuming 'head on' inelastic impact between B and C , we cannot conserve kinetic energy of the entire system. If velocity of C immediately after collision becomes (v_(0))/2 in the initial direction of motion, the impulse due to string on sphere A is

Three spheres, each of mass m , can slide freely on a frictionless, horizontal surface. Spheres A and B are attached to an inextensible, inelastic cord of length l and are at rest in the position shown where sphere B is struck by sphere C which is moving to the right with a velocity v_(0) . Knowing that the cord is taut where sphere B is struck by sphere C and assuming 'head on' inelastic impact between B and C , we cannot conserve kinetic energy of the entire system. The velocity of B immediately after collision is along unit vector

Three spheres, each of mass m , can slide freely on a frictionless, horizontal surface. Spheres A and B are attached to an inextensible, inelastic cord of length "l" and are at rest in the position shown where sphere B is struck by sphere C which is moving to the right with a velocity v_(0) . Knowing that the cord is taut where sphere B is struck by sphere C and assuming "Head on" inelastic impact between B and C , we can 't conserve kinetic energy of entire system. If velocity of C immediately after collision becomes (v_(0))/(2) in the initial direction of motion, the impulse due to string on sphere A is

Three solid spheres each of mass m and radius R are released from the position shown in Fig. What is the speed of any one sphere at the time of collision?

A chain of length l and mass m lies on the surface of a smooth sphere of radius R>l with one end tied to the top of the sphere.

A sphere rolls on a horizontal surface. Is there any point of the sphere which has a vertical velocity?

A sphere of mass m slides with velocity v on as frictionless surface towards a smooth inclined wall as shown in figure. If the collision with the wall is perfectly elastic find a. the impulse imparted by the wall on the sphere b the impulse imparted by the floor on the sphere.

Initially the spheres A and B are at potentials V_A and V_B . Find the potential of A when sphere B is earthed.

Initially the spheres A and B are at potentials V_A and V_B . Find the potential of A when sphere B is earthed.

Three identical spheres each of radius .R. are placed on a horizontal surface touching one another. If one of the spheres is removed, the shift in the centre of mass of the system is

Home
Profile