what is the maximum pressure produced by a 2 kg stone where height is 10cm ,base is 5cm and beradth is 3cm when it kept it is kept on the table
Answers
Concept:
Pressure is inversely proportional to cross sectional area.
Given:
Mass of stone = 2 Kg
Height = 10 cm
Base = 5 cm
breadth = 3cm
Find:
Maximum Pressure
Solution:
Force = Mass × g
Force = 2 × 10 Newton
Force = 20 Newton
From the given dimensions we can have 3 cross section areas.
1) Height × Base
10 × 5 cm²
50 cm² or 0.005 m²
2) Base × Breadth
5 × 3 cm²
15 cm² or 0.0015 m²
3) Hight × Breadth
10 × 3 cm²
30 cm² or 0.003 m²
From 3 different cross sectional area we can get 3 different pressures
---- from 1
Pressure = Force / Area
Pressure = 20 / 0.005 Pa
Pressure = 4000 Pa
---- from 2
Pressure = Force / Area
Pressure = 20 / 0.0015 Pa
Pressure = 13333.33 Pa
---- from
Pressure = Force / Area
Pressure = 20 / 0.003 Pa
Pressure = 6666.66 Pa
Maximum Pressure = 13333.33 Pa
Hence, The maximum pressure produced by 2 Kg stone is 13333.33 Pa.
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