Model the fuel burning as a steady ejection of small pellets, each with the small mass δm. suppose it takes a short time δt to accelerate a pellet (at constant acceleration) to the exhaust speed vex. further, suppose the rocket is clamped down so that it can't recoil. find an expression for the magnitude of the force that one pellet exerts on the rocket during the short time while the pellet is being expelled.

Na food processing facility, a spherical container of inner radius r1 5 40 cm, outer radius r2 5 41 cm, and ther- mal conductivity k 5 1.5 w/m · k is used to store hot water and to keep it at 100°c at all times. to accomplish this, the outer surface of the container is wrapped with a 800-w electric strip heater and then insulated. the temperature of the inner surface of the container is observed to be nearly 120°c at all times. as- suming 10 percent of the heat generated in the heater is lost through the insulation, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the container, (b) obtain a relation for the variation of temperature in the container material by solving the differential equation, and (c) evaluate the outer surface tempera- ture of the container. also determine how much water at 100°c this tank can supply steadily if the cold water enters at 20°c.

70 give a real life example showing how sensory neurons work with the motor neurons

The process of predicting values that extend beyond the range of data points is called absolute value extrapolation interpolation prediction for any given: )