A bomb of mass 16 kg at rest explodes in...

A bomb of mass 16 kg at rest explodes into two pieces of masses 4 kg and 12 kg. The velocity of the 12 kg mass is `4 ms^(-1)`. The kinetic energy of the other mass is :

144 J

288 J

192 J

96 J

Text Solution

Verified by Experts

The correct Answer is:

Initial momentum = final momentum
`16xx0=4v_1+12xx4`
`v_1=-12m//s`
`:.` K.E. =`1/2m_1v_1^2=1/2xx4(-12)^2=288J`.

Topper's Solved these Questions

WORK , POWER , ENERGY AND COLLISIONS
MODERN PUBLICATION|Exercise Multiple Choice Questions (LEVEL-II)|67 Videos
WORK , POWER , ENERGY AND COLLISIONS
MODERN PUBLICATION|Exercise Multiple Choice Questions (LEVEL-III)|5 Videos
WAVE OPTICS
MODERN PUBLICATION|Exercise Recent Competitive Questions|18 Videos

Similar Questions

Explore conceptually related problems

A bomb of mass 9 kg explodes into two pieces of mass 3 kg and 6 kg. The velocity of mass 3 kg is 16 ms^( -1) The K.E. of mass 6 kg is:

A 12 kg bomb at rest explodes into two piece of 4 kg and 8kg . If the momentum of 4kg piece is 20Ns, the kinetic energy of the 8kg piece I

A shell of mass 20 kg at rest explodes into two fragments whose masses are in the ratio 2 : 3 .The smaller fragment moves with a velocity of 6 ms^(-1) .The kinetic energy of the larger fragment is

Two bodies of masses 1 kg and 2 kg have equal momentum. Then, the ratio of their kinetic energies is

A body of mass 5 kg moving with a velocity of 6 m s^(-1) collide with another body of mass 2 kg which is at rest. Afterwards they move in the same direction as before. If the velocity of the body of mass 2 kg 10 ms^(-1) , find the velocity and kinetic energy to the body of mass 5 kg.

An explosion blows a rock into three pieces. Two pieces go off at right angles to each other. One of these two pieces of mass 1 kg moves with 12 m//s and other of mass 2 kg moves with 8 m/s. If the velocity of the third piece is 40 m//s, then its mass is:

MODERN PUBLICATION-WORK , POWER , ENERGY AND COLLISIONS-Revision Test

A bomb of mass 16 kg at rest explodes into two pieces of masses 4 kg a...
Text Solution
|
A ball is dropped from height of Im. If coefficient of restituion betw...
Text Solution
|
A metal ball hits a wall and does not rebound, where as b a rubber ba...
Text Solution
|
The velocity of a body of mass 2.5 kg is changed from vecVi =(3hati-4h...
Text Solution
|
The value of 1 Mev is equal to :
Text Solution
|
A particle is projected vertically upwards with a velocity given by V=...
Text Solution
|
A spring of constant 5xx10^(3) N/m is stretched initially by 5 cm from...
Text Solution
|
Consider the following two statements. a. Linear momentum of a sys...
Text Solution
|
A body of volume V and dinsity p is raised through height h in a liqiu...
Text Solution
|
A child is swinging a swing. He is one metre above the ground at the l...
Text Solution
|
A canon shell explodes in mid air, its total
Text Solution
|
A body at rest may have :
Text Solution
|
A car is moving along a straight horizontal road with a speed V. If th...
Text Solution
|
If a body of mass m moving with velocity v collides with another body ...
Text Solution
|
A ball is projected vertically upward with an initial velocity. Which ...
Text Solution
|
A motor with an efficiency of 90% drives a pump, whose efficiency is 6...
Text Solution
|
A lorry and a car moving with the same kinetic energy are bought to re...
Text Solution
|
The power of motor pump is 2 KW. The water raised by the pump per minu...
Text Solution
|
The energy required to accelerate a car from rest to 10 ms^(-1) is W. ...
Text Solution
|
A man weighing 60 kg lifts a body of 15 kg to a top of building 10 m h...
Text Solution
|
A sphere of mass M moving with velocity w collides elastically with an...
Text Solution
|