Aplayground carousel is rotating counterclockwise about its center on frictionless bearings. a person standing still on the ground grabs onto one of the bars on the carousel very close to its outer edge and climbs aboard. thus, this person begins with an angular speed of zero and ends up with a nonzero angular speed, which means that he underwent a counterclockwise angular acceleration. the carousel has a radius of 1.59 m, an initial angular speed of 3.04 rad/s, and a moment of inertia of 128 kg·m2. the mass of the person is 46.4 kg. find the final angular speed of the carousel after the person climbs aboard.

True or false a high force means an object is moving fast100 points!

The long handle on a rake is a(n) a. lever b. screw c. wedge d. inclined plane

Conventional hot-water heaters consist of a tank of water maintained at a fixed temperature. the hot water is to be used when needed. the drawback is that energy is wasted because the tank loses heat when it is not in use, and you can run out of hot water if you use too much. some utility companies are encouraging the use of on-demand water heaters (also known as flash heaters), which consist of heating units to heat the water as you use it. no water tank is involved, so no heat is wasted. a typical household shower flow rate is 2.50 gal/min (9.46 l/min ) with the tap water being heated from 51.0 ˚f (10.6 ˚c) to 120 ˚f (48.9 ˚c) by the on-demand heater.what rate of heat input (either electrical of from gas) is required to operate such a unit, assuming that all the heat goes into the water?