A0.23 kg ladle sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 580 n/m) whose other end is fixed. the ladle has a kinetic energy of 170 j as it passes through its equilibrium position (the point at which the spring force is zero). (a) at what rate is the spring doing work on the ladle as the ladle passes through its equilibrium position? (b) at what rate is the spring doing work on the ladle when the spring is compressed 0.66 m and the ladle is moving away from the equilibrium position?

Anton created a chart listing different types of materials.which best complete the chart? (a)x: copper y: glass(b)x: rubber y: copper(c)x: paper y: silicon(d)x: silicon y: glass

Which changes of state do the labels represent? a: b: c:

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.