Answer:
<em>The two balls pass each other at a height of 5.53 m</em>
<em>vf1=17.97 m/s</em>
<em>vf2=-5.96 m/s</em>
Explanation:
<u>Vertical Motion</u>
An object thrown from the ground at speed vo, is at a height y given by:

Where t is the time and 
Furthermore, an object dropped from a certain height h will fall a distance y, given by:

Thus, the height of this object above the ground is:

The question describes that ball 1 is dropped from a height of h=22 m. At the same time, ball 2 is thrown straight up with vo=12 m/s.
We want to find at what height both balls coincide. We'll do it by finding the time when it happens. We have written the equations for the height of both balls, we only have to equate them:

Simplifying:

Solving for t:

The height of ball 1 is:

H = 5.53 m
The height of ball 2 is:

y=5.53 m
As required, both heights are the same.
The speed of the first ball is:

vf1=17.97 m/s
The speed of the second ball is:

vf2=-5.96 m/s
This means the second ball is returning to the ground when both balls meet
In 9 sec, it increases the angular velocity by (0.45 x 9) rad/s which will give us 4.05 rad/s
Now get the angular velocity and divide it 2pi = 4.05 by 2(pi) to give how many revolutions 4.05 rad is equivalent to = 0.6446 rps
Them, multiply this by 60 to get it from rps to rpm increase (0.6446 x 60)=38.676 rpm
Add this and the starting revolution frequency of 49 rpm to give: (49 rpm + 38.676 rpm) = 87.6760 rpm
The forces that push upward on an indoor skydiver are lift force and air resistance.
The forces that act on a skydiver moving downwards includes, gravity due to his weight, air resistance and lift force.
The downward forces on the indoor skydiver include the following;
- <em>gravity due to its weight</em>
- <em>downward force due its acceleration</em>
<em />
The upward force on the indoor skydiver include the following;
- <em>lift force</em>
- <em>air resistance</em>
Thus, we can conclude that the forces that push upward on an indoor skydiver are lift force and air resistance.
Learn more here:brainly.com/question/8947470
Answer:
a.) L = 2.64 kgm^2/s
b.) V = 4.4 m/s
Explanation: Jessica stretches her arms out 0.60 m from the center of her body. This will be considered as radius.
So,
Radius r = 0.6 m
Mass M = 2 kg
Velocity V = 1.1 m/s
Angular momentum L can be expressed as;
L = MVr
Substitute all the parameters into the formula
L = 2 × 1.1 × 0.6 = 1.32kgm^2s^-1
the combined angular momentum of the masses will be 2 × 1.32 = 2.64 kgm^2s-1
b. If she pulls her arms into 0.15 m,
New radius = 0.15 m
Using the same formula again
L = 2( MVr)
2.64 = 2( 2 × V × 0.15 )
1.32 = 0.3 V
V = 1.32/0.3
V = 4.4 m/s
Her new linear speed will be 4.4 m/s
Answer:
a) 
b) 
c) 
d) 
e) 
Explanation:
At that energies, the speed of proton is in the relativistic theory field, so we need to use the relativistic kinetic energy equation.
(1)
Here β = v/c, when v is the speed of the particle and c is the speed of light in vacuum.
Let's solve (1) for β.

We can write the mass of a proton in MeV/c².

Now we can calculate the speed in each stage.
a) Cockcroft-Walton (750 keV)



b) Linac (400 MeV)



c) Booster (8 GeV)



d) Main ring or injector (150 Gev)



e) Tevatron (1 TeV)



Have a nice day!