CBSE Class 11-science Answered
To solve this problem we need to use Pascal's law.
The mass to be lifted = m = 80 kg
Force Required to lift up = F = mg
= 80 x 9.8
=784 N
Let Radius of the larger piston = R1
Radius of the smaller piston = R2
Given that,
R1 = 5 R2
Area of larger piston = A1 = π R12
Area of smaller piston = A2 = π R22
A1 = 25 A2
Pressure = F/A
According to pascal's law,
Pressure applied will be the same
P1 = P2
F1/A1 = F2/A2
F1/25A2 = F2/A2
F1/25 = F2 = 784 N
Area of larger piston is larger therefore water will exert more force on the larger piston.
Since area of larger piston is 25 times larger, therefore minimum force we need to apply on the smaller piston is 1/25 times the force required,
minimum force required= 1/25 x 784
= 31.36 N
Answer =31.36 N