A uniform hollow disk with inner radius 30cm and outer radius 60cm has two pieces of thin wire wrapped around its outer rim and is supported from the ceiling. Suddenly one of the wires breaks and the remaining wire does not slip as the disk rolls down. Use conservation of energy to find the speed of the center of this disk after it has fallen a distance of 2m.

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^.

Only 3% of the water on earth is usable by humans. even though that 3% is through the water cycle, we still need to be careful not to waste water.

The two way interaction between aspects of the environment and aspects of the individual in the shaping of personality traits is called?