a) 14.4 m/s
The problem can be solved by using the law of conservation of total momentum; in fact, the total initial momentum must be equal to the final total momentum:

So we have:
(1)
where
is the mass of each ball
is the initial velocity of the green ball
is the initial velocity of the blue ball
is the final velocity of the green ball
is the final velocity of the blue ball
Simplifying the mass in the equation and solving for
, we find

b) 12.0 m/s
This time, the green ball continues moving after the collision at

So the equation (1) becomes

And solving for
we find

c) 13.5 m/s
This time, the green ball continues moving after the collision at

So the equation (1) becomes

And solving for
we find

Answer:
The observed temperature was 10º Celsius or 50º Fahrenheit.
Explanation:
The traveler observed that the temperature in Fahrenheit is five times the value of the temperature in Celsius, therefore:

A Fahrenheit temperature relates to a Celsius one by the following expression:

Using the second expression on the first, we can solve for the temperature in Celsius, this is done below:

The observed temperature was 10º Celsius or 50º Fahrenheit.
The calculation of the centripetal acceleration of an object following a circular path is based on the equation,
a = v² / r
where a is the acceleration, v is the velocity, and r is the radius.
Substituting the known values from the given above,
4.4 m/s² = (15 m/s)² / r
The value of r from the equation is 51.14 m.
Answer: 51.14 m
Every cell has chromosomes in its nucleus. In a human cell,
there are 26 of them. AND ... lined up on every chromosome
are thousands and thousands of GENES. Those carry the
instructions for what kind of organ or bone or tissue or hair
this cell will be used to build, how the structure will work, how
tall you will be, what color your eyes will be, how deep your
voice will be, and what illnesses you will have.
Every cell has the complete set of instructions in it. In the past
several years, we have just started to be able to read them, and
extraordinary progress has been made. There's an awful long way
still left to go.
a) The kinetic energy (KE) of an object is expressed as the product of half of the mass (m) of the object and the square of its velocity (v²):

It is given:
v = 8.5 m/s
m = 91 kg
So:

b) We can calculate height by using the formula for potential energy (PE):
PE = m*g*h
In this case, h is eight, and PE is the same as KE:
PE = KE = 3,287.4 J
m = 91 kg
g = 9.81 m/s² - gravitational acceleration
h = ? - height
Now, let's replace those:
3,287.4= 91 * 9.81 * h
⇒ h = 3,287.4/(91*9.81) = 3,287.4/892.7 = 3.7 m