While out fishing, Ms. Lacy and Mr. Spencer each catch a fish. When hung
from a vertical spring, Ms. Lacy's fish, which has a mass of 0.988 kg,
stretches the spring by 5.71 cm. Mr. Spencer's fish is then hung from the
vertical spring and dropped from the "no load" position and experiences
SHM with a period of 1.45 s. What is the mass of Mr. Spencer's fish?

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^.