Adam holds back a lake that is 85m deep at the dam. if the lake is 20km long, how much thicker should the dam be if the lake were smaller, only 1.0km long?

the thickness of the dam should be the same if the level of water does not change.

Explanation:

the thickness of dam depends on the pressure of water that has to withstand.

Since the pressure exerted by the water depends only on the depth of the lake and not the length of the lake

P =1/2 *ρ*g*h ,

where P= pressure exerted by the water on the dam, ρ= density of water , g= gravity , h= depth of the lake

Then if the lake were smaller and the depth remains the same, the thickness of the dam should be the same

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air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.