Your grandfather has metal-working tools in his workshop and he has helped you to design your own one-person submarine made out of aluminum for you to test out in the local lake. The mass of the submarine is 1,280 kg and its total exterior volume is 9.20 m3. You, of mass 79.0 kg, take the submarine to the lake and climb inside. Determine the volume of water (in m3) that you must allow to enter the holding tanks of your submarine to make it sink.

Visualize the problem and identify special cases first examine the problem by drawing a picture and visualizing the motion. apply newton's 2nd law, ∑f⃗ =ma⃗ , to each body in your mind. don't worry about which quantities are given. think about the forces on each body: how are these consistent with the direction of the acceleration for that body? can you think of any special cases that you can solve quickly now and use to test your understanding later? one special case in this problem is if m2=0, in which case block 1 would simply fall freely under the acceleration of gravity: a⃗ 1=−gj^.