Old naval ships fired 13 kg cannon balls from a 230 kg cannon. it was very important to stop the recoil of the cannon, since otherwise the heavy cannon would go careening across the deck of the ship. in one design, a large spring with spring constant 2.0×104 n/m was placed behind the cannon. the other end of the spring braced against a post that was firmly anchored to the ship's frame.' what was the speed of the cannon ball if the spring compressed 55 cm when the cannon was fired? express your answer using two significant figures.

Avoltaic cell converts chemical energy to

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.

Which pair of quantities includes one quantity that increases as the other decreases during simple harmonic motion?