The two dams are identical with the exception that the water reservoir behind dam a extendstwice the horizontal distance behind it as that of dam b. which one of the following statementsregarding these dams is correct? a) the force exerted by the water on dam a is greater than that on dam b. b) the force exerted by the water on dam b is greater than that on dam a. c) dam a is more likely to collapse than dam b if the water level rises. d) dam b is more likely to collapse than dam a if the water level rises. e) the horizontal distance of the water behind the two dams does not determine the force onthem.

Out of the given options, "The horizontal distance of the water behind the two dams does not determine the force on them" is true regarding those dams.

Option E

Explanation:

Pascal's law essentially expresses that any pressure applied to a liquid inside a shut framework will transmit that pressure similarly every which way all through the liquid. This law is the fundamental rule that causes water-driven power in substantial development machines to work.

The level separation of the water behind the two dams doesn't decide the power on them.   Here is the equation for the pressure applied by fluids:

Where,

P is the pressure of the fluid

g is the gravity of earth

d is the thickness of a fluid or overlaying material

h is the stature of fluid of profundity inside the material

So, in light of the fact that the tallness of the water is the equivalent behind the two dams, "h" is the equivalent for both, and everything else being the equivalent (the two fluids are water, and the dams are at similar heights, so a similar gravity, the pressure is the equivalent on the two dams.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west