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A bullet is fired into a long wooden Block with velocity 4 cm/s. when bullet travels 12 CM along length of block horizontally, it lost its 2/3rd speed. Bullet comes out of the Block with zero speed. Length of the block is.?
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A bullet is fired into a long wooden Block with velocity 4 cm/s. when ...
Given data:
- Initial velocity of the bullet: 4 cm/s
- Distance traveled by the bullet within the block: 12 cm
- Speed lost by the bullet: 2/3rd of its initial speed
- Final speed of the bullet: 0 cm/s
Calculating the length of the block:
- Let the length of the block be 'L' cm.
- The time taken by the bullet to travel a distance of 12 cm at a speed of 4 cm/s is given by:
Time = Distance / Speed = 12 cm / 4 cm/s = 3 seconds
- Let 'x' cm be the distance traveled by the bullet within the block before losing 2/3rd of its speed.
- The speed of the bullet after traveling 'x' cm within the block is 4 - (2/3)*4 = 4 - 8/3 = 4/3 cm/s.
- The time taken by the bullet to travel distance 'x' at a speed of 4/3 cm/s is given by:
Time = Distance / Speed = x / (4/3) = (3x) / 4 seconds
- The time taken by the bullet to travel the remaining distance (12 - x) cm at a speed of 0 cm/s is given by:
Time = Distance / Speed = (12 - x) / 0 = infinity
- Total time taken by the bullet to travel the entire length of the block is equal to the sum of the time taken to travel the distance 'x' and the time taken to travel the remaining distance (12 - x):
3 = (3x) / 4 + infinity
- Solving the above equation, we get:
x = 4 cm
- Therefore, the length of the block is 12 + 4 = 16 cm.
- Initial velocity of the bullet: 4 cm/s
- Distance traveled by the bullet within the block: 12 cm
- Speed lost by the bullet: 2/3rd of its initial speed
- Final speed of the bullet: 0 cm/s
Calculating the length of the block:
- Let the length of the block be 'L' cm.
- The time taken by the bullet to travel a distance of 12 cm at a speed of 4 cm/s is given by:
Time = Distance / Speed = 12 cm / 4 cm/s = 3 seconds
- Let 'x' cm be the distance traveled by the bullet within the block before losing 2/3rd of its speed.
- The speed of the bullet after traveling 'x' cm within the block is 4 - (2/3)*4 = 4 - 8/3 = 4/3 cm/s.
- The time taken by the bullet to travel distance 'x' at a speed of 4/3 cm/s is given by:
Time = Distance / Speed = x / (4/3) = (3x) / 4 seconds
- The time taken by the bullet to travel the remaining distance (12 - x) cm at a speed of 0 cm/s is given by:
Time = Distance / Speed = (12 - x) / 0 = infinity
- Total time taken by the bullet to travel the entire length of the block is equal to the sum of the time taken to travel the distance 'x' and the time taken to travel the remaining distance (12 - x):
3 = (3x) / 4 + infinity
- Solving the above equation, we get:
x = 4 cm
- Therefore, the length of the block is 12 + 4 = 16 cm.
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A bullet is fired into a long wooden Block with velocity 4 cm/s. when ...
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A bullet is fired into a long wooden Block with velocity 4 cm/s. when bullet travels 12 CM along length of block horizontally, it lost its 2/3rd speed. Bullet comes out of the Block with zero speed. Length of the block is.?
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A bullet is fired into a long wooden Block with velocity 4 cm/s. when bullet travels 12 CM along length of block horizontally, it lost its 2/3rd speed. Bullet comes out of the Block with zero speed. Length of the block is.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A bullet is fired into a long wooden Block with velocity 4 cm/s. when bullet travels 12 CM along length of block horizontally, it lost its 2/3rd speed. Bullet comes out of the Block with zero speed. Length of the block is.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bullet is fired into a long wooden Block with velocity 4 cm/s. when bullet travels 12 CM along length of block horizontally, it lost its 2/3rd speed. Bullet comes out of the Block with zero speed. Length of the block is.?.
A bullet is fired into a long wooden Block with velocity 4 cm/s. when bullet travels 12 CM along length of block horizontally, it lost its 2/3rd speed. Bullet comes out of the Block with zero speed. Length of the block is.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A bullet is fired into a long wooden Block with velocity 4 cm/s. when bullet travels 12 CM along length of block horizontally, it lost its 2/3rd speed. Bullet comes out of the Block with zero speed. Length of the block is.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bullet is fired into a long wooden Block with velocity 4 cm/s. when bullet travels 12 CM along length of block horizontally, it lost its 2/3rd speed. Bullet comes out of the Block with zero speed. Length of the block is.?.
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