Li rolled a ball down a hill. This graph shows the kinetic and potential energy of the moving ball. A line graph The graph is titled Mechanical Energy and shows an inverse relationship between Potential energy and Kinetic Energy. The Y axis is Potential energy (J). The X axis is Kinetic energy (J). The point of the graph are as such: (0, 5); (1, 4); (2, 3); (3, 2); (4, 1); (5, 0)

In this graph, the ball is still moving as it reaches the bottom of the hill. Explain how the graph would change if it showed the ball reaching the bottom of the hill and stopping. Then, explain how coming to a stop affects the mechanical energy of the ball.

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?

Determine the age of a fossil if it had only one eighth of its original carbon-14 content remaining?

In science and physics what is the standard unit of measure for speed?