An aircraft is coming in for a landing at 300 meters height when the propeller falls off. the aircraft is flying at 40.0 m/s horizontally. the propeller has a rotation rate of 20 rev/s, a moment of inertia of 70.0kg-m2 , and a mass of 200 kg. neglect air resistance. (a) with what translational velocity does the propeller hit the ground? (b) what is the rotation rate of the propeller at impact?

Asmall 12.00g plastic ball is suspended by a string in a uniform, horizontal electric field with a magnitude of 10^3 n/c. if the ball is in equilibrium when the string makes a 30 ° angle with the vertical, what is the net charge on the ball?

Using the free-body diagram, calculate the net force acting on the sled. is the sled in a state of dynamic equilibrium?

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?