The Ejection Seat at Lake Biwa Amusement Park in Japan (Figure 1) is an inverse bungee system. A seat with passengers of a total mass of 160 kg is connected to elastic cables on the sides. The seat is pulled down 12.0 m, stretching the cables. When released, the stretched cables launch the passengers upward above the towers to a height of about 30.0 m above their starting position at the ground. Assume that the cables are vertical. Determine the spring constant of the cable.

5submission this assignment is worth 20 points total. you are required to submit the following by next lab: 1. (3 points) determine the equation for the output angular velocity ω2 = θ˙ 2 as a function of θ1, ω1 = θ˙ 1 and α. you must show all your work to receive credit. 2. (2 points) use the result of problem#1 to plot ω2 over 0 ≤ θ1 ≤ 360deg with ω1 = 360deg/sec. do this for α = {10,30}deg. show the results on the same plot and properly label the axes, title, legend. for this you can use matlab or ms excel. 3. (3 points) determine the equation for the output angular acceleration ω˙ 2 and create a plot similar to the one in problem#2. 4. (10 points) submit plots of the results (ω2 and ω˙ 2) obtained from creo/mechanism and compare them to results of problem#2 and problem#3. note that you should do these comparisons for the two cases with α = {10,30}deg. 5. (2 points) provide a brief explanation of the results. did they match? what are the implications as misalignment angle increases?

Gas cloud 1 is likely to form a star. gas cloud 2 is not. based on this information, match the given conditions with each cloud

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