P211 MT1 up Fall 2004 Make 1 A fan rotating at a constant speed completes 1200 revolutions every minute Consider a point on the tip of a blade at a radius of 0 10 m What is the magnitude of its acceleration A B C D E 1256 m s2 1117 m s2 783 m s2 2234 m s2 1580 m s2 2 A ball rolls horizontally off the edge of a table that is 1 5 m high It strikes the floor at a time t later What is t A B C D E 0 39 s You cannot tell without knowing its initial horizontal velocity 0 45 s 0 27 s 0 55 s JG JG JG JG 3 Vector C has magnitude 12 If you are told that C is the sum of vectors A and B in JG JG JG JG other words C A B and that vector A has magnitude 6 you can then say that JG vector B A B C D E must be perpendicular to A must have a magnitude of at least 6 but no more than 18 cannot have a magnitude greater than 12 may have a magnitude of 20 must be perpendicular to C Page 1 P211 MT1 up Fall 2004 Make 4 A stone is tied to a 0 50 m string and whirled at a constant speed of 4 0 m s in a vertical circle by a student standing on the surface of the earth Its acceleration in m s2 at the bottom of the circle is most nearly A B C D E 9 8 up 32 up 8 0 down 32 down 9 8 down 5 A 1 5 kg mass has an acceleration of 4 0i 3 0 j m s2 Only two forces act on the mass If one of the forces is 2 0i 1 4 j N what is the magnitude of the other force A B C D E 8 1 N 5 1 N 4 1 N 6 1 N 7 1 N 6 A stone is thrown vertically upward at a speed of 16 m s at time t 0 A second stone is thrown upward with the same speed 1 second later At what time are the two stones at the same height A B C D E 4 13 s 1 13 s 0 13 s 3 13 s 2 13 s Page 2 P211 MT1 up Fall 2004 Make 7 Identical guns fire identical bullets horizontally at the same speed from the same height above level planes one on the Earth and one on the Moon Which of the following three statements is are true if we ignore air resistance Hint The acceleration due to gravity is smaller on the Moon I The horizontal distance traveled by the bullet is greater for the Moon II The flight time is less for the bullet on the Earth III The velocity of the bullets at impact are the same A B C D E I and II only II and III only III only I II III I and III only 8 A worker drags a crate weighing 311N across a factory floor by pulling on a rope tied to the crate The worker exerts a force of 450 N on the rope which is inclined at 38 to the horizontal and the floor exerts a horizontal force of 125 N that opposes the motion The acceleration of the crate is approximately A B C D E 1 62 m s2 2 48 m s2 7 24 m s2 1 1 m s2 0 49 m s2 Page 3 P211 MT1 up Fall 2004 Make 9 Two footballs A and B are kicked from a field line at an angle of 15 from the horizontal Ball A has initial speed V and ball B has initial speed 2V If ball A travels a distance D before hitting the ground then the distance travelled by ball B is A B C D E D 2 D 4 4D D 2D 10 A circus performer of weight W is walking along a high wire as shown The tension in the wire is A B C D E approximately W 2 much less than W approximately W does not depend at all on W much more than W Page 4 P211 MT1 up Fall 2004 Make 11 A 2 29 kg mass is suspended from a string which is pulled upward The mass accelerates upwards with an acceleration of 2 30 m s2 The tension in the string is A B C D E 5 27 N 22 44 N 17 17 N 27 71 N 12 10 N 12 In the 1991 World Track and Field Championships in Tokyo Mike Powell jumped 8 95m breaking the 23year long jump record set by Bob Beamon by a full 5cm Assume that Powell s speed on take off was 9 5m s about equal to that of a sprinter and that g 9 80 m s2 in Tokyo How close did Powell come to the maximum possible range in the absence of air resistance A B C D E 0 78 m 0 26 m 0 33 m 0m 0 52 m Page 5 P211 MT1 up Fall 2004 Make 13 An elevator is moving upwards with a constant acceleration The dashed curve in the figure shows the position y y of the ceiling of the elevator as a function of time t At the instant indicated by the dot a bolt breaks loose and drops from the ceiling Which curve best represents the position of the bolt as a function of time as viewed by a stationary observer A B C D E A B C D E 14 A block of mass 4 0 kg lies on a frictionless horizontal table in contact with a 6 0 kg block At the opposite side of the 4 0 kg block a constant horizontal force of 100 0 N is applied as shown in the diagram What is the magnitude of the horizontal force on the 6 0 kg block A B C D E 60 N 150 N 100 N 40 N 0N Page 6 P211 MT1 up Fall 2004 Make 15 A length of massless rope is tied at both ends to the ceiling The rope runs under a frictionless massless pulley as shown with 45 A block of weight 50 N hangs from the pulley If nothing in this situation is moving what is the approximate tension in the rope 50 N A B C D E 35 N 86 N 50 N 25 N 71 N G G G G 16 If a 3i 4 j and b 4i 3 j what is the magnitude of the vector a b A B C D E 10 2 5 1 4 0 Page 7 P211 MT1 up Fall 2004 Make 17 Three blocks are connected as shown in the figure on a horizontal frictionless table and pulled to the right with a force T3 64 2 N If m1 11 3 kg m2 23 7 …