Astronauts on a distant planet set up a simple pendulum of length 1.1 m. The pendulum executes simple harmonic motion and makes 100 complete oscillations in 225 s. What is the magnitude of the acceleration due to gravity on this planet

Natural forces that can alter ecosystems include seasons and climate changes. t or f

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.

Suppose a comet has an orbital period of 309.1 years around the sun. what is it’s average distance from the sun?