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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?
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A bomb of mass 12 kg, initially at rest explodes into two pieces of ma...
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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'.
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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?
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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?.
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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
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