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Dynamics Suppose that you balance a 5 kg ball on the tip of you

Answer on Question #49183 – Physics - Mechanics | Kinematics | Dynamics
Suppose that you balance a 5 kg ball on the tip of your finger that has an area of 1
cm2. What is the pressure
on your finger?
Solution:
π‘š = 5π‘˜π‘” βˆ’ π‘šπ‘Žπ‘ π‘  π‘œπ‘“ π‘‘β„Žπ‘’ π‘π‘Žπ‘™π‘™;
𝐴 = 1 π‘π‘š2 = 10βˆ’4 π‘š2 βˆ’ π‘Žπ‘Ÿπ‘’π‘Ž π‘œπ‘“ π‘‘β„Žπ‘’ 𝑑𝑖𝑝 π‘œπ‘“ π‘‘β„Žπ‘’ π‘“π‘–π‘›π‘”π‘’π‘Ÿ;
𝑝 βˆ’ π‘π‘Ÿπ‘’π‘ π‘ π‘’π‘Ÿπ‘’ π‘œπ‘› π‘‘β„Žπ‘’ π‘“π‘–π‘›π‘”π‘’π‘Ÿ;
Pressure is defined as force per unit area.
𝑁
πΉπ‘œπ‘Ÿπ‘π‘’ 𝐹 π‘šπ‘” 5π‘˜π‘” βˆ™ 9.8 π‘˜π‘”
𝑝=
= =
=
= 490 kPa
π΄π‘Ÿπ‘’π‘Ž
𝐴
𝐴
10βˆ’4 π‘š2
Answer: pressure is equal to 490 kPa.
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