Class 11 Exam > Class 11 Questions > A bomb of mass 12 kg, initially at rest explo...
Start Learning for Free
A bomb of mass 12 kg, initially at rest explodes into two pieces of masses 4 kg and 8 kg. The speed of the 8 kg mass is 6 m/s. The kinetic energy of the 4 kg mass is
- a)32 J
- b)48 J
- c)144 J
- d)288 J
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A bomb of mass 12 kg, initially at rest explodes into two pieces of ma...
Most Upvoted Answer
A bomb of mass 12 kg, initially at rest explodes into two pieces of ma...
Given:
Mass of bomb (m) = 12 kg
Mass of one piece (m1) = 4 kg
Mass of the other piece (m2) = 8 kg
Velocity of m2 (v2) = 6 m/s
We need to find the kinetic energy of the 4 kg mass (m1).
The conservation of momentum states that the total momentum before the explosion is equal to the total momentum after the explosion. Mathematically, it can be written as:
m * 0 = m1 * v1 + m2 * v2
Since the bomb is initially at rest, the velocity of the bomb before the explosion is 0. Therefore, the equation becomes:
0 = m1 * v1 + m2 * v2
We can rearrange the equation to solve for v1:
v1 = - (m2 * v2) / m1
Substituting the given values:
v1 = - (8 kg * 6 m/s) / 4 kg
v1 = - 12 m/s
Since the velocity is negative, it indicates that the 4 kg mass is moving in the opposite direction to the 8 kg mass.
The kinetic energy of an object can be calculated using the formula:
Kinetic energy = (1/2) * mass * velocity^2
Substituting the values for the 4 kg mass:
Kinetic energy = (1/2) * 4 kg * (-12 m/s)^2
Kinetic energy = (1/2) * 4 kg * 144 m^2/s^2
Kinetic energy = 288 J
Therefore, the kinetic energy of the 4 kg mass is 288 J, which corresponds to option 'D'.
Mass of bomb (m) = 12 kg
Mass of one piece (m1) = 4 kg
Mass of the other piece (m2) = 8 kg
Velocity of m2 (v2) = 6 m/s
We need to find the kinetic energy of the 4 kg mass (m1).
The conservation of momentum states that the total momentum before the explosion is equal to the total momentum after the explosion. Mathematically, it can be written as:
m * 0 = m1 * v1 + m2 * v2
Since the bomb is initially at rest, the velocity of the bomb before the explosion is 0. Therefore, the equation becomes:
0 = m1 * v1 + m2 * v2
We can rearrange the equation to solve for v1:
v1 = - (m2 * v2) / m1
Substituting the given values:
v1 = - (8 kg * 6 m/s) / 4 kg
v1 = - 12 m/s
Since the velocity is negative, it indicates that the 4 kg mass is moving in the opposite direction to the 8 kg mass.
The kinetic energy of an object can be calculated using the formula:
Kinetic energy = (1/2) * mass * velocity^2
Substituting the values for the 4 kg mass:
Kinetic energy = (1/2) * 4 kg * (-12 m/s)^2
Kinetic energy = (1/2) * 4 kg * 144 m^2/s^2
Kinetic energy = 288 J
Therefore, the kinetic energy of the 4 kg mass is 288 J, which corresponds to option 'D'.
Free Test
FREE
| Start Free Test |
Community Answer
A bomb of mass 12 kg, initially at rest explodes into two pieces of ma...
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
A bomb of mass 12 kg, initially at rest explodes into two pieces of masses 4 kg and 8 kg. The speed of the 8 kg mass is 6 m/s. The kinetic energy of the 4 kg mass is a)32 J b)48 J c)144 Jd)288 J Correct answer is option 'D'. Can you explain this answer?
Question Description
A bomb of mass 12 kg, initially at rest explodes into two pieces of masses 4 kg and 8 kg. The speed of the 8 kg mass is 6 m/s. The kinetic energy of the 4 kg mass is a)32 J b)48 J c)144 Jd)288 J Correct answer is option 'D'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A bomb of mass 12 kg, initially at rest explodes into two pieces of masses 4 kg and 8 kg. The speed of the 8 kg mass is 6 m/s. The kinetic energy of the 4 kg mass is a)32 J b)48 J c)144 Jd)288 J Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bomb of mass 12 kg, initially at rest explodes into two pieces of masses 4 kg and 8 kg. The speed of the 8 kg mass is 6 m/s. The kinetic energy of the 4 kg mass is a)32 J b)48 J c)144 Jd)288 J Correct answer is option 'D'. Can you explain this answer?.
A bomb of mass 12 kg, initially at rest explodes into two pieces of masses 4 kg and 8 kg. The speed of the 8 kg mass is 6 m/s. The kinetic energy of the 4 kg mass is a)32 J b)48 J c)144 Jd)288 J Correct answer is option 'D'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A bomb of mass 12 kg, initially at rest explodes into two pieces of masses 4 kg and 8 kg. The speed of the 8 kg mass is 6 m/s. The kinetic energy of the 4 kg mass is a)32 J b)48 J c)144 Jd)288 J Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bomb of mass 12 kg, initially at rest explodes into two pieces of masses 4 kg and 8 kg. The speed of the 8 kg mass is 6 m/s. The kinetic energy of the 4 kg mass is a)32 J b)48 J c)144 Jd)288 J Correct answer is option 'D'. Can you explain this answer?.
Solutions for A bomb of mass 12 kg, initially at rest explodes into two pieces of masses 4 kg and 8 kg. The speed of the 8 kg mass is 6 m/s. The kinetic energy of the 4 kg mass is a)32 J b)48 J c)144 Jd)288 J Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of A bomb of mass 12 kg, initially at rest explodes into two pieces of masses 4 kg and 8 kg. The speed of the 8 kg mass is 6 m/s. The kinetic energy of the 4 kg mass is a)32 J b)48 J c)144 Jd)288 J Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A bomb of mass 12 kg, initially at rest explodes into two pieces of masses 4 kg and 8 kg. The speed of the 8 kg mass is 6 m/s. The kinetic energy of the 4 kg mass is a)32 J b)48 J c)144 Jd)288 J Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A bomb of mass 12 kg, initially at rest explodes into two pieces of masses 4 kg and 8 kg. The speed of the 8 kg mass is 6 m/s. The kinetic energy of the 4 kg mass is a)32 J b)48 J c)144 Jd)288 J Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A bomb of mass 12 kg, initially at rest explodes into two pieces of masses 4 kg and 8 kg. The speed of the 8 kg mass is 6 m/s. The kinetic energy of the 4 kg mass is a)32 J b)48 J c)144 Jd)288 J Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A bomb of mass 12 kg, initially at rest explodes into two pieces of masses 4 kg and 8 kg. The speed of the 8 kg mass is 6 m/s. The kinetic energy of the 4 kg mass is a)32 J b)48 J c)144 Jd)288 J Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup