Answer:
  L = 41.09 Kg m2 / s      The angular momentum does not depend on the time
Explanation:
The definition of angular momentum is
         L = r x p
Where blacks indicate vectors
Let's apply this definition our case. Linear momentum
       p = m v
Let's replace
       L = m r x v
The given function is
       x = 6.00 i ^ + 4.15 t j
^
We look for speed
      v = dx / dt
      v = 0 + 4.15 j ^
To evaluate the angular momentum one of the best ways is to use determinants
      ![L = m \left[\begin{array}{ccc}i&j&k\\6&4.15t&0\\0&4.15&0\end{array}\right]](https://tex.z-dn.net/?f=L%20%3D%20m%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C6%264.15t%260%5C%5C0%264.15%260%5Cend%7Barray%7D%5Cright%5D)
       L = m 6 4.15 k ^
The other products give zero
Let's calculate
       L = 1.65 6 4.15 k ^
       L = 41.09 Kg m2 / s
The angular momentum does not depend on the time
 
        
             
        
        
        
Answer: b
Explanation:
When heat is released by the system i.e. system loses heat. So, we take it as negative -Q
When the work is done on the system then it is considered as negative work on the system i.e. -W  
In this case, the plunger is pulled out, and work is done on the system. So, we take work as negative work -W
Correct option is b
 
        
                    
             
        
        
        
Answer:
(a)11.24 m/s
(b)7.44 m/s
(c)409 N
(d)
(e) 0
Explanation:
The period for 1 circle  of the merry go around is 9.5s. It means the angular speed is:
 of the merry go around is 9.5s. It means the angular speed is:

(a)The speed is

(b) Centripetal acceleration:

(c) Magnitude of the force that keeps you go around at this acceleration

(d) let the coefficient of friction by  . The frictional force shall be this coefficient multiplied by normal force reverting gravity of the man
. The frictional force shall be this coefficient multiplied by normal force reverting gravity of the man

 
        
             
        
        
        
Answer:
The angular frequency of the block is ω = 5.64 rad/s
Explanation:
The speed of the block v = rω where r = amplitude of the oscillation and ω = angular frequency of the oscillation.
Now ω = v/r since v = speed of the block = 62 cm/s and r = the amplitude of the oscillation = 11 cm.
The angular frequency of the oscillation ω is 
ω = v/r 
ω = 62 cm/s ÷ 11 cm 
ω = 5.64 rad/s
So, the angular frequency of the block is ω = 5.64 rad/s
 
        
             
        
        
        
Answer:
theres an decrease in temperature because 252,000 is more than 42,000. so its colder and not as hot as 252,000.
Explanation: