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A cuboid of mass 2.0 kg and dimensions 2 cm X 5 cm X 25 cm is placed on a table to exert pressure on its surface. If the value of g=10m/s2. Find the maximum and minimum pressures exerted by the cuboid respectively?
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A cuboid of mass 2.0 kg and dimensions 2 cm X 5 cm X 25 cm is placed o...
Understanding Pressure
Pressure is defined as the force exerted per unit area. In this scenario, the cuboid's weight acts as the force exerted on the table. The formula for pressure (P) is given by:
P = F/A
Where:
- F = weight of the cuboid
- A = area of contact with the table
Calculating the Weight of the Cuboid
The weight (F) can be calculated using the formula:
F = m * g
Where:
- m = mass of the cuboid (2.0 kg)
- g = acceleration due to gravity (10 m/s²)
Thus,
F = 2.0 kg * 10 m/s² = 20 N
Determining the Area of Contact
The area of contact (A) depends on how the cuboid is oriented on the table:
- Orientation 1 (2 cm x 5 cm):
- Area = 0.02 m * 0.05 m = 0.001 m²
- Orientation 2 (2 cm x 25 cm):
- Area = 0.02 m * 0.25 m = 0.005 m²
- Orientation 3 (5 cm x 25 cm):
- Area = 0.05 m * 0.25 m = 0.0125 m²
Calculating Maximum and Minimum Pressure
- Maximum Pressure: Occurs when the area is minimum (2 cm x 5 cm):
- P_max = 20 N / 0.001 m² = 20,000 Pa
- Minimum Pressure: Occurs when the area is maximum (5 cm x 25 cm):
- P_min = 20 N / 0.0125 m² = 1,600 Pa
Final Results
- Maximum Pressure: 20,000 Pa
- Minimum Pressure: 1,600 Pa
This analysis illustrates how the orientation of the cuboid affects the pressure exerted on the table.
Pressure is defined as the force exerted per unit area. In this scenario, the cuboid's weight acts as the force exerted on the table. The formula for pressure (P) is given by:
P = F/A
Where:
- F = weight of the cuboid
- A = area of contact with the table
Calculating the Weight of the Cuboid
The weight (F) can be calculated using the formula:
F = m * g
Where:
- m = mass of the cuboid (2.0 kg)
- g = acceleration due to gravity (10 m/s²)
Thus,
F = 2.0 kg * 10 m/s² = 20 N
Determining the Area of Contact
The area of contact (A) depends on how the cuboid is oriented on the table:
- Orientation 1 (2 cm x 5 cm):
- Area = 0.02 m * 0.05 m = 0.001 m²
- Orientation 2 (2 cm x 25 cm):
- Area = 0.02 m * 0.25 m = 0.005 m²
- Orientation 3 (5 cm x 25 cm):
- Area = 0.05 m * 0.25 m = 0.0125 m²
Calculating Maximum and Minimum Pressure
- Maximum Pressure: Occurs when the area is minimum (2 cm x 5 cm):
- P_max = 20 N / 0.001 m² = 20,000 Pa
- Minimum Pressure: Occurs when the area is maximum (5 cm x 25 cm):
- P_min = 20 N / 0.0125 m² = 1,600 Pa
Final Results
- Maximum Pressure: 20,000 Pa
- Minimum Pressure: 1,600 Pa
This analysis illustrates how the orientation of the cuboid affects the pressure exerted on the table.
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A cuboid of mass 2.0 kg and dimensions 2 cm X 5 cm X 25 cm is placed on a table to exert pressure on its surface. If the value of g=10m/s2. Find the maximum and minimum pressures exerted by the cuboid respectively?
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A cuboid of mass 2.0 kg and dimensions 2 cm X 5 cm X 25 cm is placed on a table to exert pressure on its surface. If the value of g=10m/s2. Find the maximum and minimum pressures exerted by the cuboid respectively? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A cuboid of mass 2.0 kg and dimensions 2 cm X 5 cm X 25 cm is placed on a table to exert pressure on its surface. If the value of g=10m/s2. Find the maximum and minimum pressures exerted by the cuboid respectively? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cuboid of mass 2.0 kg and dimensions 2 cm X 5 cm X 25 cm is placed on a table to exert pressure on its surface. If the value of g=10m/s2. Find the maximum and minimum pressures exerted by the cuboid respectively?.
A cuboid of mass 2.0 kg and dimensions 2 cm X 5 cm X 25 cm is placed on a table to exert pressure on its surface. If the value of g=10m/s2. Find the maximum and minimum pressures exerted by the cuboid respectively? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A cuboid of mass 2.0 kg and dimensions 2 cm X 5 cm X 25 cm is placed on a table to exert pressure on its surface. If the value of g=10m/s2. Find the maximum and minimum pressures exerted by the cuboid respectively? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cuboid of mass 2.0 kg and dimensions 2 cm X 5 cm X 25 cm is placed on a table to exert pressure on its surface. If the value of g=10m/s2. Find the maximum and minimum pressures exerted by the cuboid respectively?.
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