NEET Exam > NEET Questions > An explosion breaks a rock into three parts i...
Start Learning for Free
An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms–1 and the second part of mass 2 kg moves with speed 8 ms–1. If the third part flies off with speed 4 ms–1 then its mass is [NEET 2013]
- a)5 kg
- b)7 kg
- c)17 kg
- d)3 kg
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
An explosion breaks a rock into three parts in a horizontal plane. Two...
m3v3 = 20 (momentum of third part)
Most Upvoted Answer
An explosion breaks a rock into three parts in a horizontal plane. Two...
Problem Overview
An explosion causes a rock to break into three parts, with two parts moving at right angles to each other. We need to find the mass of the third part based on the given data.
Given Data
- Mass of first part (m1) = 1 kg
- Speed of first part (v1) = 12 m/s
- Mass of second part (m2) = 2 kg
- Speed of second part (v2) = 8 m/s
- Speed of third part (v3) = 4 m/s
Conservation of Momentum
According to the principle of conservation of momentum, the total momentum before and after the explosion must be equal. Since the explosion occurs in a horizontal plane and two parts move at right angles, we can analyze the momentum in two dimensions (x and y).
Calculating x-direction Momentum
- Momentum of first part in x-direction = m1 * v1 = 1 kg * 12 m/s = 12 kg·m/s
- Momentum of second part in y-direction = m2 * v2 = 2 kg * 8 m/s = 16 kg·m/s
Magnitude of Third Part's Momentum
Since the third part moves at an angle, we need to find its mass (m3) using the total momentum in both directions.
Using Pythagorean Theorem
To find m3, we can apply the conservation of momentum:
- Total momentum in x-direction = Total momentum in y-direction
Using the speeds, we can set up the equation:
- m3 * v3 = sqrt((m1 * v1)^2 + (m2 * v2)^2)
Substituting the values:
- m3 * 4 = sqrt((12)^2 + (16)^2) = sqrt(400) = 20
Solving for m3
- m3 * 4 = 20
- m3 = 20 / 4 = 5 kg
Conclusion
Thus, the mass of the third part is 5 kg. The correct answer is option 'A'.
An explosion causes a rock to break into three parts, with two parts moving at right angles to each other. We need to find the mass of the third part based on the given data.
Given Data
- Mass of first part (m1) = 1 kg
- Speed of first part (v1) = 12 m/s
- Mass of second part (m2) = 2 kg
- Speed of second part (v2) = 8 m/s
- Speed of third part (v3) = 4 m/s
Conservation of Momentum
According to the principle of conservation of momentum, the total momentum before and after the explosion must be equal. Since the explosion occurs in a horizontal plane and two parts move at right angles, we can analyze the momentum in two dimensions (x and y).
Calculating x-direction Momentum
- Momentum of first part in x-direction = m1 * v1 = 1 kg * 12 m/s = 12 kg·m/s
- Momentum of second part in y-direction = m2 * v2 = 2 kg * 8 m/s = 16 kg·m/s
Magnitude of Third Part's Momentum
Since the third part moves at an angle, we need to find its mass (m3) using the total momentum in both directions.
Using Pythagorean Theorem
To find m3, we can apply the conservation of momentum:
- Total momentum in x-direction = Total momentum in y-direction
Using the speeds, we can set up the equation:
- m3 * v3 = sqrt((m1 * v1)^2 + (m2 * v2)^2)
Substituting the values:
- m3 * 4 = sqrt((12)^2 + (16)^2) = sqrt(400) = 20
Solving for m3
- m3 * 4 = 20
- m3 = 20 / 4 = 5 kg
Conclusion
Thus, the mass of the third part is 5 kg. The correct answer is option 'A'.
|
Explore Courses for NEET exam
|
|
Top Courses for NEETView all
Question Description
An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms–1 and the second part of mass 2 kg moves with speed 8 ms–1. If the third part flies off with speed 4 ms–1 then its mass is [NEET 2013]a)5 kgb)7 kgc)17 kgd)3 kgCorrect answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms–1 and the second part of mass 2 kg moves with speed 8 ms–1. If the third part flies off with speed 4 ms–1 then its mass is [NEET 2013]a)5 kgb)7 kgc)17 kgd)3 kgCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms–1 and the second part of mass 2 kg moves with speed 8 ms–1. If the third part flies off with speed 4 ms–1 then its mass is [NEET 2013]a)5 kgb)7 kgc)17 kgd)3 kgCorrect answer is option 'A'. Can you explain this answer?.
An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms–1 and the second part of mass 2 kg moves with speed 8 ms–1. If the third part flies off with speed 4 ms–1 then its mass is [NEET 2013]a)5 kgb)7 kgc)17 kgd)3 kgCorrect answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms–1 and the second part of mass 2 kg moves with speed 8 ms–1. If the third part flies off with speed 4 ms–1 then its mass is [NEET 2013]a)5 kgb)7 kgc)17 kgd)3 kgCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms–1 and the second part of mass 2 kg moves with speed 8 ms–1. If the third part flies off with speed 4 ms–1 then its mass is [NEET 2013]a)5 kgb)7 kgc)17 kgd)3 kgCorrect answer is option 'A'. Can you explain this answer?.
Solutions for An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms–1 and the second part of mass 2 kg moves with speed 8 ms–1. If the third part flies off with speed 4 ms–1 then its mass is [NEET 2013]a)5 kgb)7 kgc)17 kgd)3 kgCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms–1 and the second part of mass 2 kg moves with speed 8 ms–1. If the third part flies off with speed 4 ms–1 then its mass is [NEET 2013]a)5 kgb)7 kgc)17 kgd)3 kgCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms–1 and the second part of mass 2 kg moves with speed 8 ms–1. If the third part flies off with speed 4 ms–1 then its mass is [NEET 2013]a)5 kgb)7 kgc)17 kgd)3 kgCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms–1 and the second part of mass 2 kg moves with speed 8 ms–1. If the third part flies off with speed 4 ms–1 then its mass is [NEET 2013]a)5 kgb)7 kgc)17 kgd)3 kgCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms–1 and the second part of mass 2 kg moves with speed 8 ms–1. If the third part flies off with speed 4 ms–1 then its mass is [NEET 2013]a)5 kgb)7 kgc)17 kgd)3 kgCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms–1 and the second part of mass 2 kg moves with speed 8 ms–1. If the third part flies off with speed 4 ms–1 then its mass is [NEET 2013]a)5 kgb)7 kgc)17 kgd)3 kgCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET 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
|
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily