Explanation:
Equation for energy balance will be as follows.


Hence, 
Therefore, we will calculate the final temperature as follows.

= 868.03 R
Now, we will calculate the mass as follows.
m = 
= 
= 1.031 lbm
Hence,

Putting the values into the above equation as follows.


= 655.2 Btu
Thus, we can conclude that work done by paddle wheel is 655.2 Btu.
Answer:
=6.5%
Explanation:
Mass of the ball:
]
Initial velocity of the ball: 
final velocity of the ball:
which is -30/100 of
=
Mass of the bottle: 
Initial velocity of the bottle: 
final velocity of the bottle:
is unknown (to find)
<em>by using conservation momentum, which stated that the initial momentum is equal to the final momentum.</em>
<em />
<em />
<em>so since the bottle is at rest firstly, therefore </em>
<em />
<em />
<em />
<em />
<em> </em><em>equation 1</em>
so now substitute
into equation 1

<em />
<em />
<em>collect the like terms</em>


divide both side by 

Now substitute

6.5%
<em />
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the object has kinetic energy, because it is on the move!!