Asimple yoyo consists of two large uniform disks, each of radius r and mass m, connected to one another by a light (essentially massless) inner disk of radius r that is sandwiched in between. a string is wound around the inner disk. if one simply holds the string by its upper end, the yoyo disks will start to rotate and move downward (i. e. "fall") as the string unwinds

a) draw a free body diagram of the yoyo.
(b) apply newton’s second law for linear motion to determine the acceleration of the center of mass of the yoyo in terms of the unknown tension in the string. then determine the force of tension in the string as the yoyo falls by applying the rotational form of newton’s 2nd law to the yoyo, noting that the axis of rotation passes through the center of mass perpendicular to the disks. (find ft in terms of m, g, r, and r).
(c) as the yoyo falls, find the linear acceleration of the center of mass in terms of g, r, and r.

If jesus walked on water, does that mean he swims on land

During physical science, ms. greene challenged her students to produce an energy transformation. james and jill wrapped a 4-inch nail with a coil of fifty turns of wire. they connected one end of the coil to one terminal of a knife switch. they connected the other terminal of the knife switch to the battery. finally, they connected the end of the coil to the other terminal of the battery. james held the tip of a 1-inch nail near the flat end of the 4-inch nail. jill closed the knife switch quickly and then opened it. the 1-inch nail was pulled toward the 4-inch nail. what is the best explanation of why the nail moved? a) electrical energy was converted to mechanical energy in the 1-inch nail. b) the 4-inch nail became an electromagnet and the magnetic force attracted the 1-inch nail. c) the electric current in the 4-inch nail was converted to mechanical energy in the 1-inch nail. d) the 4-inch nail had a positive charge and the 1-inch nail had a negative charge. opposites attracted.

"an open tank has the shape of a right circular cone. the tank is 6 feet across the top and 5 feet high. how much work is done in emptying the tank by pumping the water over the top edge? note: the density of water is 62.4 lbs per cubic foot."