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Can you explain the answer of this question below:
An isolated particle of mass m is moving in a horizontal plane (x,y) along the x axis at a certain height above the ground. It suddenly explodes into two fragments of masses m/4 and 3m/4. An instant later, the smaller fragments is at y = +15 cm. The larger fragment at this instant is at
  • A:
    y = +5 cm
  • B:
    y = +20 cm
  • C:
    y = -20 cm
  • D:
    y = -5 cm
The answer is d.
Verified Answer
Can you explain the answer of this question below:An isolated particle...
As the particle is exploded only due to its internal energy.
net external force during this process is 0 i.e. center mass will not change.
Let the particle while the explosion was above the origin of the coordinate system i.e. just before explosion xcm =0 and ycm =0
After the explosion, the Centre of mass will be at xcm =0 and ycm =0
Since smaller fragment has fallen on the y-axis.
Let positon of larger fragment be y.
m * ycm = (m/4 * 15) + (3m/4 * y)
⇒ (m/4 * 15) + (3m/4 * y) = 0
⇒ y = - 5 cm
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Most Upvoted Answer
Can you explain the answer of this question below:An isolated particle...
As the particle is exploded onlydue to its internal energy.So net external force during this process is 0. So the centre mass will not change.Let the particle while explosion was above the origin of the co-ordinate system. i e just before explosion X=0and Y=0 Centre of mass will be at X=0 and Y=0 after explosion Centre of mass will be at X=0 and Y=0Ycm= [(m/4 *15) + (3m/4* y)]/m=0 solving y=-5cm.
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Community Answer
Can you explain the answer of this question below:An isolated particle...
As the particle is exploded only due to its internal energy.
net external force during this process is 0 i.e. center mass will not change.
Let the particle while the explosion was above the origin of the coordinate system i.e. just before explosion xcm =0 and ycm =0
After the explosion, the Centre of mass will be at xcm =0 and ycm =0
Since smaller fragment has fallen on the y-axis.
Let positon of larger fragment be y.
m * ycm = (m/4 * 15) + (3m/4 * y)
⇒ (m/4 * 15) + (3m/4 * y) = 0
⇒ y = - 5 cm
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Can you explain the answer of this question below:An isolated particle of mass m is moving in a horizontal plane (x,y) along the x axis at a certain height above the ground. It suddenly explodes into two fragments of masses m/4 and 3m/4. An instant later, the smaller fragments is at y = +15 cm. The larger fragment at this instant is atA:y = +5 cmB:y = +20 cmC:y = -20 cmD:y = -5 cmThe answer is d.
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Can you explain the answer of this question below:An isolated particle of mass m is moving in a horizontal plane (x,y) along the x axis at a certain height above the ground. It suddenly explodes into two fragments of masses m/4 and 3m/4. An instant later, the smaller fragments is at y = +15 cm. The larger fragment at this instant is atA:y = +5 cmB:y = +20 cmC:y = -20 cmD:y = -5 cmThe answer is d. 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 Can you explain the answer of this question below:An isolated particle of mass m is moving in a horizontal plane (x,y) along the x axis at a certain height above the ground. It suddenly explodes into two fragments of masses m/4 and 3m/4. An instant later, the smaller fragments is at y = +15 cm. The larger fragment at this instant is atA:y = +5 cmB:y = +20 cmC:y = -20 cmD:y = -5 cmThe answer is d. covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you explain the answer of this question below:An isolated particle of mass m is moving in a horizontal plane (x,y) along the x axis at a certain height above the ground. It suddenly explodes into two fragments of masses m/4 and 3m/4. An instant later, the smaller fragments is at y = +15 cm. The larger fragment at this instant is atA:y = +5 cmB:y = +20 cmC:y = -20 cmD:y = -5 cmThe answer is d..
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