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Water from a tank is flowing down through a hole at its bottom with velocity 5 ms-1. If this water falls on a flat surface kept below the hole at a distance of 0.1m and spreads horizontally, the pressure (in kNm-2) exerted on the flat surface is closest to? Given: acceleration due to gravity = 9.8 ms-2 and density of water = 1000 kgm-3 (A) 13.5 (B) 27.0 (C) 17.6 (D) 6.8?
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Water from a tank is flowing down through a hole at its bottom with ve...
Given:
- Velocity of water flowing out of the hole: 5 m/s
- Distance of the flat surface from the hole: 0.1 m
- Acceleration due to gravity: 9.8 m/s^2
- Density of water: 1000 kg/m^3
To find:
Pressure exerted on the flat surface
Formula:
Pressure (P) = Density (ρ) × Acceleration due to gravity (g) × Height (h)
Calculations:
- The height of the water column above the hole can be calculated using the equation of motion: v^2 = u^2 + 2gh, where u is the initial velocity of the water (which can be assumed to be 0) and v is the final velocity (5 m/s).
- Rearranging the equation, h = (v^2)/(2g) = (5^2)/(2 × 9.8) = 1.275 m
Using the formula for pressure:
- P = ρgh = 1000 × 9.8 × 1.275 = 12435 N/m^2 = 12.435 kPa
Answer:
The pressure exerted on the flat surface is closest to 12.435 kPa, which is approximately equal to 12.4 kPa. Therefore, the closest option is (D) 6.8 kPa.
- Velocity of water flowing out of the hole: 5 m/s
- Distance of the flat surface from the hole: 0.1 m
- Acceleration due to gravity: 9.8 m/s^2
- Density of water: 1000 kg/m^3
To find:
Pressure exerted on the flat surface
Formula:
Pressure (P) = Density (ρ) × Acceleration due to gravity (g) × Height (h)
Calculations:
- The height of the water column above the hole can be calculated using the equation of motion: v^2 = u^2 + 2gh, where u is the initial velocity of the water (which can be assumed to be 0) and v is the final velocity (5 m/s).
- Rearranging the equation, h = (v^2)/(2g) = (5^2)/(2 × 9.8) = 1.275 m
Using the formula for pressure:
- P = ρgh = 1000 × 9.8 × 1.275 = 12435 N/m^2 = 12.435 kPa
Answer:
The pressure exerted on the flat surface is closest to 12.435 kPa, which is approximately equal to 12.4 kPa. Therefore, the closest option is (D) 6.8 kPa.
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Water from a tank is flowing down through a hole at its bottom with velocity 5 ms-1. If this water falls on a flat surface kept below the hole at a distance of 0.1m and spreads horizontally, the pressure (in kNm-2) exerted on the flat surface is closest to? Given: acceleration due to gravity = 9.8 ms-2 and density of water = 1000 kgm-3 (A) 13.5 (B) 27.0 (C) 17.6 (D) 6.8?
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Water from a tank is flowing down through a hole at its bottom with velocity 5 ms-1. If this water falls on a flat surface kept below the hole at a distance of 0.1m and spreads horizontally, the pressure (in kNm-2) exerted on the flat surface is closest to? Given: acceleration due to gravity = 9.8 ms-2 and density of water = 1000 kgm-3 (A) 13.5 (B) 27.0 (C) 17.6 (D) 6.8? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Water from a tank is flowing down through a hole at its bottom with velocity 5 ms-1. If this water falls on a flat surface kept below the hole at a distance of 0.1m and spreads horizontally, the pressure (in kNm-2) exerted on the flat surface is closest to? Given: acceleration due to gravity = 9.8 ms-2 and density of water = 1000 kgm-3 (A) 13.5 (B) 27.0 (C) 17.6 (D) 6.8? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Water from a tank is flowing down through a hole at its bottom with velocity 5 ms-1. If this water falls on a flat surface kept below the hole at a distance of 0.1m and spreads horizontally, the pressure (in kNm-2) exerted on the flat surface is closest to? Given: acceleration due to gravity = 9.8 ms-2 and density of water = 1000 kgm-3 (A) 13.5 (B) 27.0 (C) 17.6 (D) 6.8?.
Water from a tank is flowing down through a hole at its bottom with velocity 5 ms-1. If this water falls on a flat surface kept below the hole at a distance of 0.1m and spreads horizontally, the pressure (in kNm-2) exerted on the flat surface is closest to? Given: acceleration due to gravity = 9.8 ms-2 and density of water = 1000 kgm-3 (A) 13.5 (B) 27.0 (C) 17.6 (D) 6.8? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Water from a tank is flowing down through a hole at its bottom with velocity 5 ms-1. If this water falls on a flat surface kept below the hole at a distance of 0.1m and spreads horizontally, the pressure (in kNm-2) exerted on the flat surface is closest to? Given: acceleration due to gravity = 9.8 ms-2 and density of water = 1000 kgm-3 (A) 13.5 (B) 27.0 (C) 17.6 (D) 6.8? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Water from a tank is flowing down through a hole at its bottom with velocity 5 ms-1. If this water falls on a flat surface kept below the hole at a distance of 0.1m and spreads horizontally, the pressure (in kNm-2) exerted on the flat surface is closest to? Given: acceleration due to gravity = 9.8 ms-2 and density of water = 1000 kgm-3 (A) 13.5 (B) 27.0 (C) 17.6 (D) 6.8?.
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Water from a tank is flowing down through a hole at its bottom with velocity 5 ms-1. If this water falls on a flat surface kept below the hole at a distance of 0.1m and spreads horizontally, the pressure (in kNm-2) exerted on the flat surface is closest to? Given: acceleration due to gravity = 9.8 ms-2 and density of water = 1000 kgm-3 (A) 13.5 (B) 27.0 (C) 17.6 (D) 6.8?, a detailed solution for Water from a tank is flowing down through a hole at its bottom with velocity 5 ms-1. If this water falls on a flat surface kept below the hole at a distance of 0.1m and spreads horizontally, the pressure (in kNm-2) exerted on the flat surface is closest to? Given: acceleration due to gravity = 9.8 ms-2 and density of water = 1000 kgm-3 (A) 13.5 (B) 27.0 (C) 17.6 (D) 6.8? has been provided alongside types of Water from a tank is flowing down through a hole at its bottom with velocity 5 ms-1. If this water falls on a flat surface kept below the hole at a distance of 0.1m and spreads horizontally, the pressure (in kNm-2) exerted on the flat surface is closest to? Given: acceleration due to gravity = 9.8 ms-2 and density of water = 1000 kgm-3 (A) 13.5 (B) 27.0 (C) 17.6 (D) 6.8? theory, EduRev gives you an
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