The answer they are looking for is the last one. However the last two are technically correct but the third one would result in negative work.
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
Answer:
592000 J
Explanation:
We'll begin by converting 3.7×10⁵ Pa to Kg/ms². This can be obtained as follow:
1 Pa = 1 Kg/ms²
Therefore,
3.7×10⁵ Pa = 3.7×10⁵ Kg/ms²
Next, we shall determine the workdone.
Workdone is given by the following equation:
Workdone (Wd) = pressure (P) × change in volume (ΔV)
Wd = PΔV
With the above formula, the work done can be obtained as follow:
Pressure (P) = 3.7×10⁵ Kg/ms²
Change in volume (ΔV) = 1.6 m³
Workdone (Wd) =?
Wd = PΔV
Wd = 3.7×10⁵ × 1.6
Wd = 592000 Kgm²/s²
Finally, we shall convert 592000 Kgm²/s² to Joule (J). This can be obtained as follow:
1 Kgm²/s² = 1 J
Therefore,
592000 Kgm²/s² = 592000 J
Therefore, the Workdone is 592000 J.
Complete Question
The diagram of with this question is shown on the first uploaded image
Answer:
The value is 
Explanation:
From the question we are told that
The mass of the rock is 
The length of the string is 
The angle the string makes horizontal is 
The angle which the projection of the string onto the xy -plane makes with the positive x-axis is 
The angular velocity of the rock is 
Generally the radius of the circle made by the length of the string is mathematically represented as

=> 
=> 
Generally the resultant tangential velocity is mathematically represented as

=> 
=> 
Generally the tangential velocity along the x-axis is

=> 
=> 
The negative sign show that the velocity is directed toward the negative x-axis
Generally the tangential velocity along the y-axis is

=> 
=> 
Generally the tangential velocity along the y-axis is

=> 
Generally the tangential velocity at that instant is mathematically represented as

Answer:v=0.4 m/s
Explanation:
Mass hockey player 
mass of cup 
Velocity of cup 
let v be the velocity of the combined system
Conserving momentum



