Home
Class 11
PHYSICS
A shell is fired from a cannon with a ve...

A shell is fired from a cannon with a velocity `v (m//s)` at an angle `theta` with the horizontal direction. At the highest point in its path it explodes into two pieces of equal mass. on, of the pieces retraces its path to the cannon and the speed, (in `m//s`) of the other piece immediately after the explosion is

A

`3vcostheta`

B

`2vcostheta`

C

`3/2vcostheta`

D

`sqrt(3/2)vcostheta`

Text Solution

Verified by Experts

The correct Answer is:
A
Applying conservation of linear momentum at the highest point

`m(vcostheta)=m/2xxv'm/2vcostheta`
`3vcostheta=v'`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CENTRE OF MASS

    CENGAGE PHYSICS|Exercise MCQ_TYPE|4 Videos

  • CENTRE OF MASS

    CENGAGE PHYSICS|Exercise AR_TYPE|1 Videos

  • CENTRE OF MASS

    CENGAGE PHYSICS|Exercise Fill In The Blanks|2 Videos

  • CALORIMETRY

    CENGAGE PHYSICS|Exercise Solved Example|13 Videos

  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS|Exercise Integer|2 Videos

Similar Questions

Explore conceptually related problems

A shell is fired from a cannon with a velocity V at an angle theta with the horizontal direction. A the highest point i its path, it explodes into two pieces of equal masses. One of the pieces retraces its path to the cannon. The speed of the other priece immediately after the explocison is

A shell is fired from a canon with a velocity V at an angle theta with the horizontal direction. At the highest point in its path, it explodes into two pieces of equal masses. One of the pieces retraces its path to the cannon. The speed of the other pices immediately after the explosion is

Knowledge Check

  • A shell is fired from a cannon with a velocity v (m//sec.) at an angle theta with the horizontal direction. At the highest point in its path it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon and the speed (in m//sec. ) of the other piece immediately after the explosion is

    A
    `3v cos theta`
    B
    `2v cos theta`
    C
    `3/2v cos theta`
    D
    `sqrt(3/2)v cos theta`

  • A shell is fired from a cannon with velocity v m/sec at an angle theta with the horizontal direction. At the highest point in its path it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon and the speed in m/sec of the other piece immediately after the explosion is

    A
    `3v cos theta`
    B
    `2v cos theta`
    C
    `(3)/(2) cos theta`
    D
    `(sqrt(3))/(2)v costheta `

  • A shell is fired from a connot with a velocity V at an angle 0 with the horizontal direction .At the highest point in its path it explodes into two pieces of equal masses. One of the pieces retraces its path to the cannon.The speed of the other piece immediately after the explosion is :

    A
    `3V cos 0`
    B
    `2V cos 0`
    C
    `3/2Vcos 0`
    D
    `V cos 0`

    • Similar Questions

    Explore conceptually related problems

    A shell is fired from a cannon with a speed of 100 m//s at an angle 60^(@) with the horizontal (positive x -direction). At the highest point of its trajectory, the shell explodes in to two equal fragments. One of the fragments moves is the speed of the other fragment at the time of explosion.

    A shell is fixed from a cannon with a speed of 100 m//s at an angle 60^(@) with the horizontal (positive x-direction). At the highest point of its trajectory, the shell explodes into two equal fragments. One of the fragments moves along the negative x-direction with a speed of 50 m//s . What is the speed of the other fragment at the time of explosion.

    A shell is fired from a cannon with a velocity 20 m//s at an angle 60^(@) with the horizontal. At the highest point it explodes into three pieces of equal masses . One of the pieces retraces its path to the cannon , the second piece moves vertically up with speed 40 m//s , the third piece will move with velocity (immediately after the explosion)

    A bullet fired from gun with a velocity 30 m/s at an angle of 60^(@) with horizontal direction. At the highest point of its path, the bullet explodes into two parts with masses in the ratio 1 : 3. The lighter mass comes to rest immediately. Then the speed of the heavier mass is

    A shell is fired from a cannot with a speed of 100ms^(-1) at an anlge 60^(@) with the horizontal (x-direction). At the highest point of its trajectory the shell explodes into two equal fragments. One of the fragments moves along the negative x-direction with a speed of 50 ms^(-1). What is the speed of the other fragment at the time of explosion ?

    Home
    Profile