When resistors 1 and 2 are connected in series, the equivalent resistance is 20.4 Ω. When they are connected in parallel, the equivalent resistance is 3.86 Ω. What are (a) the smaller resistance and (b) the larger resistance of these two resistors?

(A) Smaller resistance will be equal to 5.175 ohm

(b) Larger resistance will be equal to 15.225 ohm  

Explanation:

Let the two resistances are and

It is given that when they are connected in series their equivalent resistance is 20.4 ohm

So ------eqn 1

When they are connected in parallel their equivalent resistance is  3.86 ohm

So

From equation 1

......eqn 2

Adding eqn 1 and eqn 2

putting this value in eqn 1

(a) Smaller resistance will be equal to 5.175 ohm

(b) Larger resistance will be equal to 15.225 ohm

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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.