Use the conditions provided in the previous problem. atmosphere statically stable at the base of the mountain, where pressure = 1000 hpa, potential temperature lapse rate of 3.1◦c per 50 hpa. atmosphere statically unstable at the top, where pressure = 850 hpa, potential temperature lapse rate of -0.61◦c per 50 hpa. find the change in relative vorticity of the column of air.

The pressure proportional to the area a- inversely b- directly c- increase d-decrease

An object resting on a table weighs 100 n. with what force is the object pushing on the table? with what force is the table pushing on the object? explain how you got your answer.

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.