This is a bonus assignment for my chemistry (and the extra credit wouldn't hurt), it's three parts and the first is easy enough but I'm stuck at B & C.
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Tom is a 4.32 kg short-haired cat. Assume that Tom has just had 1/2 cup of his favorite cat food, with a "food calorie" value of "200 cal":
A) What is the heat value in joules (J) of this little snack?
This was the easy part - 200 "food calories" = 200 kcal
200 kcal = 200,000 cal
1 cal = 4.184 J
200,000 x 4.184 J = 836,800 J
No problem.
B) If all of that heat energy could be converted to kinetic energy, what would be the instantaneous velocity of this 3.20 kg cat (assume every bit of "food energy" instantly becomes kinetic energy)
[Edit: Figured out B. v = square root of (2 * 836,800)/3.2 kg = 723.2 m/s]
C) Assume further that Tom the Cat could convert all of that energy, instantly, into gravitational potential energy (E = mgh). Which of the following tall buildings can he leap at a single bound (or, how high, in meters, could he raise himself to, and thus clear some or all of the listed structures)
Empire State Building, NYC 1,250 feet
Sears Tower, Chicago, IL 1,454 feet
CN Tower, Toronto, Canada 1,840 feet
Burj Dubai, Dubai, UAE 2,260 feet
For C, I set up the equation as the E = mgh, with 836,800J = (4.32 kg)(9.8m/s)(h) but I'm getting a bad answer it seems that is way off.
I realize my professor screwed with the cat's mass in the intro and part B, but he said to use either.
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