Answer:
40 N
Explanation:
[tex]F_1[/tex] = Force on piston = 1500 N
[tex]A_1[/tex] = Area of the first piston = 3 m²
[tex]A_2[/tex] = Area of the second piston = 0.08 m²
[tex]F_2[/tex] = Force on the second piston
From Pascal's law we have
[tex]\dfrac{F_1}{A_1}=\dfrac{F_2}{A_2}\\\Rightarrow F_2=\dfrac{F_1A_2}{A_1}\\\Rightarrow F_2=\dfrac{1500\times 0.08}{3}\\\Rightarrow F_2=40\ N[/tex]
The force that is needed to lift the box is 40 N
