Amass weighing 14 pounds stretches a spring 2 feet. the mass is attached to a dashpot device that offers a damping force numerically equal to β (β > 0) times the instantaneous velocity. determine the values of the damping constant β so that the subsequent motion is overdamped, critically damped, and underdamped. (if an answer is an interval, use interval notation. use g = 32 ft/s2 for the acceleration due to gravity.)

When you push downward on a book at rest on a table, you feel an upward force. does this force depend on friction? defend your answer.

Air conditioners not only cool air, but dry it as well. suppose that a room in a home measures 5.0m×9.0m×2.4m . if the outdoor temperature is 30 ∘c and the vapor pressure of water in the air is 85 % of the vapor pressure of water at this temperature, what mass of water must be removed from the air each time the volume of air in the room is cycled through the air conditioner? the vapor pressure for water at 30 ∘c is 31.8 torr.

Scientists follow specific processes in order to determine valid explanations and conclusions from observations. david observed strange lights in the sky above his home outside of roswell, new mexico. the only explanation that makes sense to him is that there are ufos in the area. what should david do next to verify his explanation?