A straight fin fabricated from 2024 Aluminum alloy (k=185 W/mK) has a base thickness of t=3 mm and a length of L=15 mm. Its base
temperature is Tb=100oC, and it is exposed to a fluid for which T[infinity] =20oC and h=50 W/m2K. For the foregoing conditions and a fin of unit width, compare the fin heat rate, efficiency, and volume for rectangular, triangular, and parabolic profiles.
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Answer:
The final velocity of the thrower is and the final velocity of the catcher is
.
Explanation:
Given:
The mass of the thrower, .
The mass of the catcher, .
The mass of the ball, .
Initial velocity of the thrower,
Final velocity of the ball,
Initial velocity of the catcher,
Consider that the final velocity of the thrower is . From the conservation of momentum,
Consider that the final velocity of the catcher is . From the conservation of momentum,
Thus, the final velocity of thrower is and that for the catcher is
.