A block of mass m is attached to the end of a spring (spring stiffness constant k ). The mass is given an initial displacement x 0 from equilibrium, and an initial speed v 0 . Ignoring friction and the mass of the spring, use energy methods to find its maximum speed. Express your answer in terms of some or all of the variables v0, k , m , and x 0 .

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

Sawyer is studying diffraction. he draws a diagram of a plane wave to show how light waves travel. which best describes sawyer’s error? the wave fronts should be perpendicular to the direction in which the waves move. the arrow showing the direction of movement of the waves should be pointing to the left. the arrow showing the direction of movement of the waves should be pointing downward. the wave fronts should be both parallel and perpendicular to the direction in which the waves move.

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.