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Winter 2008 PHYS- 114 Test #2 Page 1 of 7
PHYS-114, Newtonian Mechanics
Test #2 (Chapter 5,6,7,8)
Rules:
[1] This test has 4 worked out problems with plenty of room for your work.
[2] You must show ALL work in order to receive complete credit for any of the problems. Failure to
show complete work in a clear, logical fashion (ie, your professor must be able to figure out what you
were doing) will result in loss of points.
[3] Students will be held to the Kettering University Code of Academic Integrity. Any instance of
cheating (either giving or receiving help) will result in a ZERO on this exam, and all students involved
will be referred to the Dean of Students in Academic Affairs for further action.
[4] Any disputes about the grading of this exam (other than simple errors in adding up points) must be
addressed in writing within three class days after the graded exam is handed back.
Name (please print): _____________________________________
Raw Score: _________ Test Grade: ___________
Midterm Grade: _______
Page 2 of 7 PHYS- 114 Test #2 Winter 2008
[1] (20 pts) A 1.0-kg physics book is connected by a string to a 500g coffee cup. The book is given an initial velocity of 3.0 m/s up a 20° slope. The coefficients of friction between the book and surface are μs = 0.50 and μk = 0.20. How far up the slope does the book slide before coming to rest?
MODEL: (2 pts) ( what assumptions are you going to make ?)
VISUALIZE: (12 pts) Pictorial ( The sketch has been started for you. You need to add coordinate axes, symbols, list of knowns )
Physical ( motion diagram for the book ) Physical ( Free Body Diagram for both book and cup )
Page 4 of 7 PHYS- 114 Test #2 Winter 2008
[2] (22 pts) At your co-op job you are asked to consult for a local research hospital, where a several doctors are investigating the bombardment of cancer tumors with high-energy ions. Their device fires ions with an initial velocity of 5.0 × 104 m/s at 50° below the horizontal. In order to cover the entire tumor area, the ions are deflected by passing them through charged metal plates that accelerate the ions upward toward the top plate (see picture below). The acceleration region is 5.0 cm long and the ions are fired at the midpoint 1.5 cm from each plate. What is the maximum acceleration that will allow the ions to pass through the region just barely missing top plate? When studying this device, the doctors have made the assumption that gravity may be neglected.
MODEL: (2 pts) ( what assumptions are you going to make ?)
VISUALIZE: (14 pts) Pictorial ( The sketch has been started for you. You need to add coordinate axis, symbols, list of knowns )
Physical ( motion diagram ) Graphical ( you should have 7 graphs )
Winter 2008 PHYS- 114 Test #2 Page 5 of 7
SOLVE: (5 pts) ( use the equations of motion for x and y to find the answer )
ASSESS: (1 pt) ( Why is the doctors’ assumption to ignore gravity reasonable? )
Winter 2008 PHYS- 114 Test #2 Page 7 of 7
[4] (12 pts) Blocks A and B are held on the palm of your outstretched hand as you lift them straight up at constant speed. Assume mB > mA and that m hand = 0. (a) Draw separate free-body diagram for A, B, and your hand, showing all vertical forces, being careful to draw the lengths of the vectors correctly. (b) Connect, with a dashed line, any action-reaction force pairs. (c) Rank all of the vertical forces, providing an explanation for your ranking.
