Answer:
i₀ = V / R_i
Explanation:
For this exercise we use Ohm's law
V = i R
i = V / R
the equivalent resistance for
= ∑ 
if all the bulbs have the same resistance, there are N bulbs
R_{eq} = R_i / N
we substitute
i = N V / Ri
where i is the total current that passes through the parallel, the current in a branch is
i₀ = i / N
i₀ = V / R_i
Answer:
a) 
b) 
c) 
d) No,
No.
Explanation:
Given:
length of rope, 
weight of the rope, 
mass suspended at the lower end of the rope, 
<u>Now the mass of the rope:</u>



<u>So the linear mass density of rope:</u>



We know that the speed of wave in a tensed rope is given as:

where:
tension force in the rope
a)
At the bottom of the hanging rope we have an extra mass suspended. So the tension at the bottom of the rope:



Therefore the speed of the wave at the bottom point of the rope:


b)
Tension at a point in the middle of the rope:



Now wave speed at this point:


c)
Tension at a point in the top of the rope:



Now wave speed at this point:


d)
Tension at the middle of the rope is not the average tension of tension at the top and bottom of the rope because we have an extra mass attached at the bottom end of the rope.
Also the wave speed at the mid of the rope is not the average f the speeds at the top and the bottom of the ropes because it depends upon the tension of the rope at the concerned points.
<h2>
It takes 6.78 seconds to complete 12 dribbles.</h2>
Explanation:
Frequency of dribble = 1.77 Hz
That is
Number of dribbles in 1 second = 1.77

Now we need to find how long does it take for you to complete 12 dribbles.
Time taken for 12 dribbles = 12 x Time taken for 1 dribble
Time taken for 12 dribbles = 12 x 0.565
Time taken for 12 dribbles = 6.78 seconds
It takes 6.78 seconds to complete 12 dribbles.
I got the same answer as above. So she is correct.
Answer
Thus, the earth has three types of motion at the same time i.e. circular motion, periodic motion and rotational motion. ... So, the wheel of a sewing machine shows rotational motion. The sewing machine has also a needle which moves up and down continuously (as log as the wheel rotates).