# Problem in Great Courses Video On Physics

[ mod note: moved from general physics so homework template is missing ]

At the end of each lesson, the lecturer gives a problem. The question is: A rectangular, flat-bottomed rowboat has a mass of 120 kg when empty. It's 3 meters long, 1 meter wide, and 0.24 meters deep. How many 85 kg people could it hold before swamping?

My answer was 7, but apparently according to the video the answer is 6. In addition, he gives a final answer of 590 kg without including the boat weight. But if I multiply 6*85, it does not equal 590. So, I am really confused since he merely provides the final answer of 6 people. Can anyone help?

Thank you.

Merlin3189
Homework Helper
Gold Member
I can't see anything that you've got wrong. On the other hand, I can't really see what you've done at all, except your answers. Perhaps it is generally a good idea to explain yourself it bit more - show your calculations.
As it stands, I think you are correct, so I'd want to see the actual question, to check that you've not missed any details.

Edit: BTW in real life, loading a boat to the gunnels is not a good idea. It would certainly get swamped. Perhaps he allowed a few mm of freeboard.

Basically, my equation was as followed:
(density of water)*(length*width*depth of the boat measurement) = (weight of the boat + weight of all the people on the boat)

(1000 kg/m3)*(3 m * 1 m * 0.24 m) = 720 kg

720 kg - 120 kg (the weight of the boat) = 600 kg

600 kg / 85 kg = 7.05