P211 Spring 2004 Form A 1 A 2 kg block A traveling with a speed of 5 m s as shown collides with a stationary 4 kg block B After the collision A is observed to travel at right angles with respect to the initial direction with a speed of 2 5 m s What is the magnitude of the impulse given to B by A in kg m s A B C D E 4 0 11 2 16 3 25 0 2 A 2 0 g coin is placed on a flat horizontal turntable The turntable is observed to make three revolutions in 3 0 s The coin is observed to slide off the turntable when it is more than 8 0 cm from the center of the turntable What is the coefficient of static friction between the coin and the turntable A B C D E 2 90 1 32 0 899 0 322 6 45 x 10 4 Page 1 P211 Spring 2004 Form A 3 A flying saucer deep in interstellar space free of external forces rotates about its symmetry axis with angular velocity The aliens inside the saucer rearrange the furniture to make room for a Christmas tree they have just procured from Elvis As a result the angular velocity of the saucer decreases to 2 If originally the rotational kinetic energy of the saucer was K after the rearrangement its new rotational kinetic energy is A B C D E K 4 K 2 K 2K 4K 4 A disk of radius r and mass M has a moment of inertia given by I 1 2 Mr2 for rotations about an axis through the center of the disk as shown If a second disk of twice the mass and half the radius is added as shown in the figure the new moment of inertia of the combined disks is R 2 R A B C D E 3 4 Mr2 7 8 Mr2 Mr2 5 4 Mr2 3 2 Mr2 Page 2 P211 Spring 2004 Form A 5 Find the net torque on the wheel shown below about the axle through O if a 10 cm and b 25 cm A clockwise rotation is negative 10 N a O b 12 N 9N A B C D E 1 2 Nm 3 45 Nm 5 95 Nm 3 55 Nm 1 2 Nm 6 The figure below shows the velocity of three particles moving with respect to the origin of the coordinate system O Which of the particles have zero angular momentum in this coordinate system a c b O A B C D E a b c a and c a b and c Page 3 P211 Spring 2004 Form A 7 A satellite circles planet Roton every 2 8 h in an orbit having a radius of 1 2 x 107 m If the radius of Roton is 5 0 x 106 m what is the magnitude of the free fall acceleration on the surface of Roton A B C D E 31 m s2 27 m s2 34 m s2 40 m s2 19 m s2 Page 4 P211 Spring 2004 Form A 8 The figure below shows four arrangements of a particle of mass m and one or more uniform rods of mass M and length L each a distance d from the particle Which has the largest magnitude net gravitational force on the particle from the rods A B C D E there is a tie Page 5 P211 Spring 2004 Form A 9 A certain mass on a spring system has a mass M and a spring constant k and is oscillating with a period T If 8 kg is added to the original mass the period is found to triple The original mass is A B C D E 8 kg 1 kg 1 8 kg 5 kg 2 kg 10 A model rocket launches with initial net upward acceleration of 1 50g where g is the absolute value of the acceleration due to gravity This acceleration is maintained for 3 00 seconds After the 3 00 seconds has passed the rocket coasts and eventually falls back to earth At what time does the rocket reach its maximum height A B C D E 3 0 s 4 5 s 7 5 s 10 5 s 12 0 s 11 Vectors u and v each have magnitude L When drawn with their tails at the same point the angle between them is 30 The magnitude of u v is A B C D E L2 2 L2 3L2 2 2L2 none of these Page 6 P211 Spring 2004 Form A 12 A dart is thrown horizontally toward the bull s eye point P on the dart board with an initial speed of 9 50 m s It hits at point Q on the rim vertically below P 0 17 s later What is the distance PQ A B C D E 0 07 m 0 14 m 0 28 m 0 42 m 1 62 m 13 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 4 D 2 D 2D 4D Page 7 P211 Spring 2004 Form A 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 40 N 60 N 100 N 150 N 0N 15 An astronaut is rotated in a horizontal centrifuge at a radius of 8 0 m What is the astronaut s speed if the centripetal acceleration has a magnitude of 6 0g A B C D E 2 7 m s 6 9 m s 15 3 m s 21 7 m s 30 7 m s Page 8 P211 Spring 2004 Form A 16 A ski lift raises 100 passengers averaging 80 kg in mass to a height of 150 m in 60 seconds What average power does it output during the 60 seconds A B C D E 2 0 x 104 1 0 x 105 2 0 x 105 1 2 x 107 7 1 x 108 W W W W W 17 A 2200 kg railroad flatcar which can move with negligible friction is motionless next to a platform A 260 kg sumo wrestler runs at 5 m s along the platform parallel to the track and then jumps onto the flatcar What is the speed of the flatcar if the wrestler keeps running at 5 m s relative to it in his original direction A B C D E 5 m s 5 m s 0 m s 0 …