The fraction of the kinetic energy of the ball lost during the collision is
.
The given parameters;
- <em>initial speed of the ball, = vi</em>
- <em>final momentum of the ball, Pf = ¹/₃Pi</em>
The initial and final momentum of the ball is calculated as;


The initial and final kinetic energy of the ball is calculated as;

The change in the kinetic energy is calculated as;

Thus, the fraction of the kinetic energy of the ball lost during the collision is
.
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Answer:

Explanation:
Frequency of each electromagnetic wave is same thus we can interfere them along X axis in Phase diagram.
In phase diagram indicate each wave as vector with amplitude as length and phase difference as angle. (shown in attachment)
Now take component of E2 and E3 amplitude along X direction.
Net amplitude of all E in X direction =
+ cos(45)[
+
]
⇒
Final resultant have no change in frequency
So , resultant is 
Answer:
Explanation:
specific heat of marble is 880 J/kg °C
specific heat of brass is 920 J/kg °C
If Q heat is given to a body of mass m and specific heat s , and there is a rise of temperature t
Q = m s t
t = Q / m s
if Q and m is constant
t is inversely proportional to specific heat .
so rise in temperature will be inversely proportional to specific heat .
lower the specific heat , higher will be the rise in temperature . Since marble has lower specific heat , rise in temperature in marble will be higher and quicker .
So brass will take longer time to warm up.
Approximately 150-200 species.