Question: The amount of internal energy needed to raise the temperature of .25 kg of water by 0.2 degrees Celsius is 209.3 J. How fast must a 0.25 kg baseball travel in order for its kinetic energy to equal this internal energy?

KE = (.5)(m)(v^2)
209.3 J = (.5)(.25kg)(v^2)
1674.4 = v^2 **square root both sides**
v = 40.92

^Is ANY of that correct? If not, can anyone help? Thanks so much

14 answers

I don't see what 1/4 kg of water has to do with a baseball, but you did the problem correctly.

The specific heat of a baseball is different from that of water, and its mass is 1/7 kg, so what you have calculated in NOT the velocity needed to raise the baseball 0.2 degrees. It is an arbitrary number.
yes that is correct
You are right!!
yep! and its 2017. :)
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Yes, and it’s 2020
Yep and it’s April 20 Year 2069
Correct, and it's 2021
Correct, and it's still 2021
Correct and I'm using this for my final exam tomorrow, thank you Mike !
Yes, and it’s still 2021.
It still holds correct, and its 2022
Yes and it's 2022
yes and its 1997