4. A normal force of 100 N can produce a pressure of
1,00,000 Pa. Calculate the area in cm2 on which the
force acts to exert the pressure.
Answers
Answer:
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Explanation:
Thrust = Force = 100 N
Pressure = Force / Area
= 100 N / (10 cm²)
= 100 N / (0.001 m²)
= 10⁵ Pa
= 1 bar
Pressure on the surface is 1 ba
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Given that, a force of 100N can produce a pressure of 100000Pa.
We have to find the area in cm².
Now,
The force exerted per unit area is known as Pressure i.e.
Pressure = Force/Area
Where; Pressure is denoted by P, Force by F and Area by A.
(Greater is the force, great is the pressure.)
Unit of pressure in pascals/Pa (1KPa = 10³Pa and 1MPa = 10⁶Pa)
Force is N and Area is in m².
Substitute the known values in the above formula
100000 = 100/Area
Area = 1/1000
Area = 10³- m²
Now, we have to find the area in cm² as said in question.
We know that -
1m = 100 cm
1m² = 10000 cm²
So,
Area = 10³- × 10⁴
Area = 10^(4-3)
Area = 10 cm
Therefore, the area is 10 cm.