Answer:
D)Not enough information
Explanation:
According to Pascal's principle, the pressure exerted on the two pistons is equal:
[tex]p_A = p_B[/tex]
Pressure is given by the ratio between force F and area A, so we can write
[tex]\frac{F_A}{A_A}=\frac{F_B}{A_B}[/tex]
The force exerted on each piston is just equal to the weight of the corresponding mass: [tex]F=W=mg[/tex], where m is the mass and g is the gravitational acceleration. So the equation becomes
[tex]\frac{m_A g}{A_A}=\frac{m_B g}{A_B}[/tex]
Now we can rewrite the mass as the product of volume, V, times density, d:
[tex]\frac{V_A d_A g}{A_A}=\frac{V_B d_B g}{A_B}[/tex]
We also know that [tex]A_B = 2.0 m^2\\A_A = 1.0 m^2[/tex]
So we can further re-arrange the equation (and simplify g as well):
[tex]\frac{V_A d_A}{1}=\frac{V_B d_B}{2}[/tex]
[tex]\frac{d_A}{d_B}=\frac{V_B}{2V_A}[/tex]
We are also told that block B has bigger volume than block A: [tex]V_B > V_A[/tex]. However, this information is not enough to allow us to say if the fraction on the right is greater than 1 or smaller than 1: therefore, we cannot conclude anything about the densities of the two objects.
