Home
Class 11
PHYSICS
A bullet of mass m moving with a speed v...

A bullet of mass m moving with a speed v strikes a wooden block of mass M & gets embedded into the block. The final speed is

A

`sqrt((M)/(M+n))V`

B

`sqrt((m)/(M+n))V`

C

`(m)/(M+n) V`

D

`V/2`

Text Solution

Verified by Experts

The correct Answer is:
C

By Law of conservation of momentum
mv+M(0)=(m+M)V
`V=(mv)/(m+M)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NEWTON'S LAWS OF MOTION

    CBSE COMPLEMENTARY MATERIAL|Exercise 5 Marks Questions|2 Videos
  • MECHANICAL WAVES

    CBSE COMPLEMENTARY MATERIAL|Exercise MCQ|20 Videos
  • PROPERTIES OF MATTER

    CBSE COMPLEMENTARY MATERIAL|Exercise MULTIPLE CHOICE QUESTIONS (MCQs)|20 Videos

Similar Questions

Explore conceptually related problems

A bullet of mass m moving horizontally with speed u strikes a suspended wooden block of mass M and gets embedded into it. If block rises to height (L)/(2) where L is length of string with which wooden block is connected.The initial velocity(u) of bullet is

In the system shown in fig. block of mass M is placed on a smooth horizontal surface. There is a mass less rigid support attached to the block. Block of mass m is placed on the first block and it is connected to the support with a spring of force constant K. There is no friction between the blocks. A bullet of mass m_(0) , moving with speed u hits the block of mass M and gets embedded into it. The collision is instantaneous. Assuming that m always stays over M, calculate the maximum extension in the spring caused during the subsequent motion. K=8960 N//m , u=400 m//s

Knowledge Check

  • A bullet of mass m moving with velocity v strikes a block of mass M at rest and gets embedded into it. The kinetic energy of the composite block will be

    A
    `(1)/(2) mv^(2) xx (m)/((m+M))`
    B
    `(1)/(2) mv^(2) xx (M)/( (m+M))`
    C
    `(1)/(2) mv^(2) xx ((M+m))/(m)`
    D
    `(1)/(2) Mv^(2) xx (m)/((m+M))`
  • A bullet of mass m moving with velocity v strikes a block of mass M at rest and gets embedded into it. The kinetic energy of the composite block will be

    A
    `(1)/(2) mv^(2) xx (m)/((m + M))`
    B
    `(1)/(2) mv^(2) xx (M)/((m + M))`
    C
    `(1)/(2) mv^(2) xx ((M + m))/(M)`
    D
    `(1)/(2) mv^(2) ((M + m))/(m)`
  • A bullet of mass m moving horizontally with a velocity v strikes a block of wood of mass M and gets embedded in the block. The block is suspended from the ceiling by a massless string. The height to which block rises is

    A
    `v^2/(2g)(m/(M+m))^2`
    B
    `v^2/(2g)((M+m)/(m))^2`
    C
    `v^2/(2g)(m/M)^2`
    D
    `v^2/(2g)(M/m)^2`
  • Similar Questions

    Explore conceptually related problems

    A bullet of mass m travelling with a speed v hits a block of mass M initially at rest and gets embedded in it. The combined system is free to move and there is no other force acting on the system. The heat generated in the process will be

    A bullet of mass 50 grams going at a speed of 200 ms^(-1) strikes a wood block of mass 950 gm and gets embedded in it. The velocity of the block after the impact is

    A bullet of mass in travelling with a speed v hits a block of mass M initially at rest and gets embedded in it. The combined system is free to move and there is no other force acting on the system. The heat generated in the process will be

    A bullet of mass m moving with velocity v strikes a suspended wooden block of mass M . If the block rises to a height h , the initial velocity of the block will be (

    A bullet of mass m moving with velocity v strikes a suspended wooden block of mass M. If the block rises to a height h, the initial velocity of the block will be