Instructions: Followtheinstructionsforeachitem. Trytosolvebyyourselfbeforeaskingforassistance. Use the value 6 = 9.81[m/s2]. 1. Test Fire (10 points)

Sibyl tested their cannon by launching a cannonball at a bottom of a cli with initial speed E0 = 40.0[m/s] directed at an angle = 42.0 above the horizontal, towards a cli with height . The cannonball hits the cli C = 4.50[s] after the launch.

A. (2 points) What is the height of the cli? B. (2 points) What is the horizontal displacement of the cannonball? C. (2 points) What is the maximum height the cannonball achieved?

D. (4 points) What is the speed of the cannonball just before impact?

2. You spin me round. (6 points) A 14.0[cm] long test tube is placed in a centrifuge, oriented at 30.0 with respect to the vertical as shown. The centrifuge is then turned on, causing the test tube to undergo uniform circular motion at 6.50 103 [rpm].

A. (2 points) What is the radial distance A of the center of the test tube given that is has an acceler-ation of 23476 (where 6 is acceleration due to gravity)?

B. (2 points) What is the centripetal acceleration 0top of the point ) in the test tube? Express your answer in terms of 6.

C. (2 points) What is the centripetal acceleration 0bottom of the point in the test tube? Express your answer in terms of 6.

3. Kalo na balanse. (12 points) Three blocks where suspended in the air using massless strings and passing through massless and xed pulleys as shown. The middle mass < = 5.00[kg]. When the system achieved equilibrium, it was found out that = 60.0 and = 30.0 . A. (3 points) Draw the free body diagrams of block , , and .

B. (6 points) Write down Newton's 2nd law along the G and H directions for all three blocks. You must have six equations total.

C. (1 point) What is the magnitude of < ?

D. (1 point) What is the magnitude of

B. (4 points) Write Newton's 2nd law along the G and H directions for both blocks. Let the +G-axis be directed downward the incline. C. (1 point) What is the magnitude of the frictional force between the boxes?

D. (1 point) What is the magnitude of the frictional force between box " and the oor? E. (2 points) What is the magnitude of the acceleration of the system? F. (2 points) What is the magnitude of the tension force in the string?