Answer:
v = 8.72 m/s
Explanation:
To find the speed of the raindrop joint to the mosquito, you take into account the momentum conservation law for an inelastic collision. Before the collision the total momentum of raindrop and mosquito must be equal to the total momentum of both raindrop and mosquito after the collision.
(1)
v1: speed of the mosquito before the collision= 0 m/s (it is at rest)
v2: speed of the raindrop before the collision = 8.9 m/s
m1: mass of the mosquito
m2: mass of the raindrop = 50m1 (50 time more massive that the mosquito)
v: speed of both raindrop and mosquito after the collision
You solve the equation (1) for v and replace the values of the rest of the parameters:

hence, after the inelastic collision the speed of the raindrop andmosquito is 8.72 m/s
Answer:

Explanation:
We know that impedance of a RLC circuit is given by 
So
here R is resistance
is inductive reactance and
is capacitive reactance
To minimize the impedance
should be zero we know that 
So 


We know that 
So 

Where f is resonance frequency
The question isn't clear enough, I think it ask us to calculate the linear speed of a point at the edge of the DVD.
Now let's imagine we're a point at the edge of the DVD, we're undergoing a circular motion. Each minute we will complete a circular track 7200 times, now we need to know the distance we travel each turn. The perimeter of the DVD, a circular object is:

Know recall that:

We now need to know how much distance is traveled during a minute or 60 seconds:

Finally we divide this result with t=60 seconds:


Where the distance units were named units as the length unit is not specified in this exercise.<span />