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Can you explain the answer of this question below:
The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of the bottle is
- A:30 N
- B:150 N
- C:300 N
- D:600 N
The answer is c.
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Most Upvoted Answer
Can you explain the answer of this question below:The neck and bottom ...
Given:
Radius of neck of bottle, r1 = 3 cm
Radius of bottom of bottle, r2 = 15 cm
Force applied on cork, F1 = 12 N
To find: Force exerted on the bottom of the bottle, F2
Formula used: Pressure = Force / Area
Calculation:
1. Area of neck of bottle, A1 = πr1²
= π(3)²
= 28.27 cm²
2. Area of bottom of bottle, A2 = πr2²
= π(15)²
= 706.86 cm²
3. Pressure at the neck of the bottle, P1 = F1 / A1
= 12 / 28.27
= 0.424 N/cm²
4. Using Pascal's law, Pressure at the bottom of the bottle, P2 = P1
= 0.424 N/cm²
5. Force exerted on the bottom of the bottle, F2 = P2 x A2
= 0.424 x 706.86
= 299.99 N
Therefore, the force exerted on the bottom of the bottle is approximately 300 N, which is option C.
Radius of neck of bottle, r1 = 3 cm
Radius of bottom of bottle, r2 = 15 cm
Force applied on cork, F1 = 12 N
To find: Force exerted on the bottom of the bottle, F2
Formula used: Pressure = Force / Area
Calculation:
1. Area of neck of bottle, A1 = πr1²
= π(3)²
= 28.27 cm²
2. Area of bottom of bottle, A2 = πr2²
= π(15)²
= 706.86 cm²
3. Pressure at the neck of the bottle, P1 = F1 / A1
= 12 / 28.27
= 0.424 N/cm²
4. Using Pascal's law, Pressure at the bottom of the bottle, P2 = P1
= 0.424 N/cm²
5. Force exerted on the bottom of the bottle, F2 = P2 x A2
= 0.424 x 706.86
= 299.99 N
Therefore, the force exerted on the bottom of the bottle is approximately 300 N, which is option C.
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Can you explain the answer of this question below:The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of the bottle isA:30 NB:150 NC:300 ND:600 NThe answer is c.
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Can you explain the answer of this question below:The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of the bottle isA:30 NB:150 NC:300 ND:600 NThe answer is c. for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Can you explain the answer of this question below:The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of the bottle isA:30 NB:150 NC:300 ND:600 NThe answer is c. covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you explain the answer of this question below:The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of the bottle isA:30 NB:150 NC:300 ND:600 NThe answer is c..
Can you explain the answer of this question below:The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of the bottle isA:30 NB:150 NC:300 ND:600 NThe answer is c. for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Can you explain the answer of this question below:The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of the bottle isA:30 NB:150 NC:300 ND:600 NThe answer is c. covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you explain the answer of this question below:The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of the bottle isA:30 NB:150 NC:300 ND:600 NThe answer is c..
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Can you explain the answer of this question below:The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of the bottle isA:30 NB:150 NC:300 ND:600 NThe answer is c., a detailed solution for Can you explain the answer of this question below:The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of the bottle isA:30 NB:150 NC:300 ND:600 NThe answer is c. has been provided alongside types of Can you explain the answer of this question below:The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of the bottle isA:30 NB:150 NC:300 ND:600 NThe answer is c. theory, EduRev gives you an
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