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A bomb of mass m at rest at the coordinate origin explodes into three equal pieces .At a certain instant, one piece is on the x-axis at x=40cm and another is at x=20cm,y=-60cm.The position of the third piece is. A)x= 60cm,y=60cm. B)X= -60cm,y=-60cm. C)x=-60cm,y=60cm. D)x=60cm,y=-60cm.?
Most Upvoted Answer
A bomb of mass m at rest at the coordinate origin explodes into three ...
Given:
- Mass of the bomb at rest, m
- One piece of the bomb is on the x-axis at x = 40 cm
- Another piece is at x = 20 cm, y = -60 cm
To find:
The position of the third piece of the bomb.
Explanation:
When the bomb explodes, the total momentum before the explosion is zero since the bomb is at rest. According to the law of conservation of momentum, the total momentum after the explosion should also be zero. Since the three pieces are of equal mass, they should have equal momentum in magnitude but opposite in direction to cancel each other out.
Let's assume the mass of each piece after the explosion is m/3.
Step 1: Finding the position of the center of mass
The center of mass of the system will remain at the origin (0,0) because the initial total momentum is zero and there are no external forces acting on the system during the explosion. Therefore, the center of mass of the three pieces will be at (0,0).
Step 2: Finding the position of the third piece
Since the center of mass is at (0,0), the third piece must be located in such a way that its x-coordinate and y-coordinate cancel out the x and y coordinates of the other two pieces, respectively.
The x-coordinate of the third piece should be -40 cm (equal and opposite to x = 40 cm) to cancel out the x-coordinate of the first piece.
The y-coordinate of the third piece should be +60 cm (equal and opposite to y = -60 cm) to cancel out the y-coordinate of the second piece.
Therefore, the position of the third piece is x = -40 cm and y = +60 cm.
Answer:
The correct position of the third piece of the bomb is Option C: x = -60 cm, y = 60 cm.
- Mass of the bomb at rest, m
- One piece of the bomb is on the x-axis at x = 40 cm
- Another piece is at x = 20 cm, y = -60 cm
To find:
The position of the third piece of the bomb.
Explanation:
When the bomb explodes, the total momentum before the explosion is zero since the bomb is at rest. According to the law of conservation of momentum, the total momentum after the explosion should also be zero. Since the three pieces are of equal mass, they should have equal momentum in magnitude but opposite in direction to cancel each other out.
Let's assume the mass of each piece after the explosion is m/3.
Step 1: Finding the position of the center of mass
The center of mass of the system will remain at the origin (0,0) because the initial total momentum is zero and there are no external forces acting on the system during the explosion. Therefore, the center of mass of the three pieces will be at (0,0).
Step 2: Finding the position of the third piece
Since the center of mass is at (0,0), the third piece must be located in such a way that its x-coordinate and y-coordinate cancel out the x and y coordinates of the other two pieces, respectively.
The x-coordinate of the third piece should be -40 cm (equal and opposite to x = 40 cm) to cancel out the x-coordinate of the first piece.
The y-coordinate of the third piece should be +60 cm (equal and opposite to y = -60 cm) to cancel out the y-coordinate of the second piece.
Therefore, the position of the third piece is x = -40 cm and y = +60 cm.
Answer:
The correct position of the third piece of the bomb is Option C: x = -60 cm, y = 60 cm.
Community Answer
A bomb of mass m at rest at the coordinate origin explodes into three ...
B) x=-60 cm and y= 60 cm solve by vector method
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A bomb of mass m at rest at the coordinate origin explodes into three equal pieces .At a certain instant, one piece is on the x-axis at x=40cm and another is at x=20cm,y=-60cm.The position of the third piece is. A)x= 60cm,y=60cm. B)X= -60cm,y=-60cm. C)x=-60cm,y=60cm. D)x=60cm,y=-60cm.?
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A bomb of mass m at rest at the coordinate origin explodes into three equal pieces .At a certain instant, one piece is on the x-axis at x=40cm and another is at x=20cm,y=-60cm.The position of the third piece is. A)x= 60cm,y=60cm. B)X= -60cm,y=-60cm. C)x=-60cm,y=60cm. D)x=60cm,y=-60cm.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A bomb of mass m at rest at the coordinate origin explodes into three equal pieces .At a certain instant, one piece is on the x-axis at x=40cm and another is at x=20cm,y=-60cm.The position of the third piece is. A)x= 60cm,y=60cm. B)X= -60cm,y=-60cm. C)x=-60cm,y=60cm. D)x=60cm,y=-60cm.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bomb of mass m at rest at the coordinate origin explodes into three equal pieces .At a certain instant, one piece is on the x-axis at x=40cm and another is at x=20cm,y=-60cm.The position of the third piece is. A)x= 60cm,y=60cm. B)X= -60cm,y=-60cm. C)x=-60cm,y=60cm. D)x=60cm,y=-60cm.?.
A bomb of mass m at rest at the coordinate origin explodes into three equal pieces .At a certain instant, one piece is on the x-axis at x=40cm and another is at x=20cm,y=-60cm.The position of the third piece is. A)x= 60cm,y=60cm. B)X= -60cm,y=-60cm. C)x=-60cm,y=60cm. D)x=60cm,y=-60cm.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A bomb of mass m at rest at the coordinate origin explodes into three equal pieces .At a certain instant, one piece is on the x-axis at x=40cm and another is at x=20cm,y=-60cm.The position of the third piece is. A)x= 60cm,y=60cm. B)X= -60cm,y=-60cm. C)x=-60cm,y=60cm. D)x=60cm,y=-60cm.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bomb of mass m at rest at the coordinate origin explodes into three equal pieces .At a certain instant, one piece is on the x-axis at x=40cm and another is at x=20cm,y=-60cm.The position of the third piece is. A)x= 60cm,y=60cm. B)X= -60cm,y=-60cm. C)x=-60cm,y=60cm. D)x=60cm,y=-60cm.?.
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