Achild, who is 45 m from the bank of a river, is being carried downstream by the river's swift current of 1.0 m/s. as the child passes a lifeguard on the river's bank, the lifeguard starts swimming in a straight line (fig. 3–46) until she reaches the child at a point downstream. if the lifeguard can swim at a speed of 2.0 m/s relative to the water, how long does it take her to reach the child? how far downstream does the lifeguard intercept the child?

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.

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Which changes would result in a decrease in the gravitational force btween two objects? check all that apply