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Two mirrors, mounted vertically, are made to move towards each other with a speed v m/s each. A particle that can bounce back between the two mirrors starts from one mirror when the mirrors are d meters apart. On reaching the second mirror, it bounces back and so on. If the particle keeps on travelling at a constant speed of 4 m/s, how many trips can it make before the mirrors run into each other and what total distance does it cover?
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Two mirrors, mounted vertically, are made to move towards each other w...
Problem Statement:
Two mirrors are mounted vertically and move towards each other with a speed v m/s each. A particle bounces back between the two mirrors starting from one mirror when the mirrors are d meters apart. The particle travels at a constant speed of 4 m/s. Determine the number of trips the particle makes before the mirrors run into each other and the total distance it covers.
Solution:
Step 1: Analysis of the Problem
- Two mirrors are mounted vertically and move towards each other with a speed v m/s.
- A particle bounces back between the two mirrors starting from one mirror when the mirrors are d meters apart.
- The particle travels at a constant speed of 4 m/s.
- Determine the number of trips the particle makes before the mirrors run into each other and the total distance it covers.
Step 2: Calculation of Time
- The time taken by the mirrors to meet each other can be calculated as t = d / (2v)
- The particle travels back and forth between the mirrors during this time.
- The time taken by the particle for one complete round trip is T = 2d/4 = d/2
- The number of round trips the particle makes before the mirrors meet each other is N = t / T = (d/2) / (d / (2v)) = v
Step 3: Calculation of Distance
- The distance covered by the particle during one round trip is 2d.
- Therefore, the total distance covered by the particle during N round trips is D = 2d * N = 2d * v.
Step 4: Final Answer
- The particle makes v round trips before the mirrors run into each other.
- The total distance covered by the particle is 2d * v.
Conclusion:
The particle makes v round trips before the mirrors run into each other, and the total distance covered by the particle is 2d * v.
Two mirrors are mounted vertically and move towards each other with a speed v m/s each. A particle bounces back between the two mirrors starting from one mirror when the mirrors are d meters apart. The particle travels at a constant speed of 4 m/s. Determine the number of trips the particle makes before the mirrors run into each other and the total distance it covers.
Solution:
Step 1: Analysis of the Problem
- Two mirrors are mounted vertically and move towards each other with a speed v m/s.
- A particle bounces back between the two mirrors starting from one mirror when the mirrors are d meters apart.
- The particle travels at a constant speed of 4 m/s.
- Determine the number of trips the particle makes before the mirrors run into each other and the total distance it covers.
Step 2: Calculation of Time
- The time taken by the mirrors to meet each other can be calculated as t = d / (2v)
- The particle travels back and forth between the mirrors during this time.
- The time taken by the particle for one complete round trip is T = 2d/4 = d/2
- The number of round trips the particle makes before the mirrors meet each other is N = t / T = (d/2) / (d / (2v)) = v
Step 3: Calculation of Distance
- The distance covered by the particle during one round trip is 2d.
- Therefore, the total distance covered by the particle during N round trips is D = 2d * N = 2d * v.
Step 4: Final Answer
- The particle makes v round trips before the mirrors run into each other.
- The total distance covered by the particle is 2d * v.
Conclusion:
The particle makes v round trips before the mirrors run into each other, and the total distance covered by the particle is 2d * v.
Community Answer
Two mirrors, mounted vertically, are made to move towards each other w...
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Two mirrors, mounted vertically, are made to move towards each other with a speed v m/s each. A particle that can bounce back between the two mirrors starts from one mirror when the mirrors are d meters apart. On reaching the second mirror, it bounces back and so on. If the particle keeps on travelling at a constant speed of 4 m/s, how many trips can it make before the mirrors run into each other and what total distance does it cover?
Question Description
Two mirrors, mounted vertically, are made to move towards each other with a speed v m/s each. A particle that can bounce back between the two mirrors starts from one mirror when the mirrors are d meters apart. On reaching the second mirror, it bounces back and so on. If the particle keeps on travelling at a constant speed of 4 m/s, how many trips can it make before the mirrors run into each other and what total distance does it cover? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two mirrors, mounted vertically, are made to move towards each other with a speed v m/s each. A particle that can bounce back between the two mirrors starts from one mirror when the mirrors are d meters apart. On reaching the second mirror, it bounces back and so on. If the particle keeps on travelling at a constant speed of 4 m/s, how many trips can it make before the mirrors run into each other and what total distance does it cover? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two mirrors, mounted vertically, are made to move towards each other with a speed v m/s each. A particle that can bounce back between the two mirrors starts from one mirror when the mirrors are d meters apart. On reaching the second mirror, it bounces back and so on. If the particle keeps on travelling at a constant speed of 4 m/s, how many trips can it make before the mirrors run into each other and what total distance does it cover?.
Two mirrors, mounted vertically, are made to move towards each other with a speed v m/s each. A particle that can bounce back between the two mirrors starts from one mirror when the mirrors are d meters apart. On reaching the second mirror, it bounces back and so on. If the particle keeps on travelling at a constant speed of 4 m/s, how many trips can it make before the mirrors run into each other and what total distance does it cover? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two mirrors, mounted vertically, are made to move towards each other with a speed v m/s each. A particle that can bounce back between the two mirrors starts from one mirror when the mirrors are d meters apart. On reaching the second mirror, it bounces back and so on. If the particle keeps on travelling at a constant speed of 4 m/s, how many trips can it make before the mirrors run into each other and what total distance does it cover? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two mirrors, mounted vertically, are made to move towards each other with a speed v m/s each. A particle that can bounce back between the two mirrors starts from one mirror when the mirrors are d meters apart. On reaching the second mirror, it bounces back and so on. If the particle keeps on travelling at a constant speed of 4 m/s, how many trips can it make before the mirrors run into each other and what total distance does it cover?.
Solutions for Two mirrors, mounted vertically, are made to move towards each other with a speed v m/s each. A particle that can bounce back between the two mirrors starts from one mirror when the mirrors are d meters apart. On reaching the second mirror, it bounces back and so on. If the particle keeps on travelling at a constant speed of 4 m/s, how many trips can it make before the mirrors run into each other and what total distance does it cover? in English & in Hindi are available as part of our courses for NEET.
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