1. Doug hits a hockey puck, giving it an initial velocity of 6 m/s. If the coefficient of kinetic friction between ice and puck is 0.050, how far will the puck slice before stopping? A 19 m B 25 m C 37 m D 57 m E 68 m 6 v 1 2 m v f kx x 2 m g fk 0.050 1 2 mv 2 x 36.735 fk 2. A trapeze artist, with swing, weighs 800 N. He is being held to one side by his partner so that the swing ropes make an angle of 300 with the vertical. In such a condition of static equilibrium what is the tension in the rope? A 924 N B 400 N C 196 N D 461 N E 786 N 30 deg w 800 T w cos ( ) T 923.76 3. Rupel pushes a box 5 m by applying a 25 N horizontal force. What work does she do? A 10 J B 25 J C 125 J D 550 J E 750 J x 5 F 25 W F x W 125 4. I use a rope 2 m long to swing a 10 kg weight around my head. The tension in the rope is 20 N. In half a revolution how much work is done by the rope on the weight? A 40 J B 126 J C 251 J D 0 J E None of the above m 5. A B C D E 10 T 20 W 0 When an object is dropped from a tower, what is the effect of the air resistance as it falls? does positive work increases the object's kinetic energy increases the object's potential energy increases the total energy of the object None of the above choices are valid 5.W henanogjectisdroppedfrom atow er,w hatistheefectoftheairesistanceasitfals? A doespositvew ork B increasestheobject’skineeticnergy C increasestheobject’spotentialenergy D increasesthetotalenergyoftheobject EN oneoftheabovechoicesarevalid 6. A simple pendulum, 1 m in length, is released from rest when the support string is at an angle of 350 from the vertical. What is the speed of the suspended mass at the bottom of the swing? (ignore air resistance) A 0.67 m/v B 0.94 m/s C 1.33 m/s D 1.88 m/s E 2.45 m/s L 1 35 deg 1 2 m v m g L (1 2 cos ( ) ) 2 g L ( 1 v cos ( ) ) v 1.883 7. A simple pendulum, 2 m in length, is released with a push when the support string is at an angle of 250 from the vertical If the initial speed of the suspended mass is 1.2 m/s when at the release point, what is its speed at the bottom of the swing? A 2.3 m/s B 2.6 m/s C 2.0 m/s D 1.8 m/s E 0.5 m/s L v 2 25 deg v o 2 g L ( 1 cos ( ) ) 1 2 m v m g L (1 2 1.2 vo 2 cos ( ) ) 1 2 mvo 2 v 2.261 8. Adisa pulls a 40 N crate up a 5 m long inclined plane at a constant velocity. If the plane is inclined at an angle of 370 to the horizontal and there is a constant force of friction of 10 N between the crate and surface, what is the net change in potential energy of the crate? A 120 J B -120 J C 200 J D -200 J E 140 J w 40 L 5 37 deg fr 10 h L sin( ) PE w h PE 120.363 9. A Hooke's law spring is compressed a distance d and used to launch a mass m vertically to a height h above its starting position Under the same compression d, the spring is now used to launch a mass of 2m. How high does this second mass rise? A h B h/2 C h/1.41 D h/4 E h/8 1 2 kx mg h 2 1 2 h k x ( 2 m) g 2 2 10. A force of 100 N is applied to a 50 kg mass in the direction of motion for a distance of 6 m and then the force is increased to 150 N for the next 4 m. For the 10 m travel, how much work is done by the varying force? A 1200 J B 1500 J C 2400 J D -1500 J E -2400 J F1 100 m 50 d1 6 F2 150 d2 4 W F1 d1 F2 d2 W 1.2 10 3 11. A ventilation fan has blades 0.25 m in radius rotating at 20 rpm. What is the tangential speed of each glade tip? A 0.02 m/s B 0.52 m/s C 5.0 m/s D 20 m/s E 23 m/s 20 2 0.25 r v r v 0.524 60 10A .forceof100N isappliedtoa50kgm assinthedirectionofm otionforadistanceof6m andthenteforceis increasedto150N forthenext4m .Forthe10m travel,how m uchw orkisdonebythevaryingforce? A 1200J B 1500J C 2400J D-1500J E-2400J 12. Calculate the linear speed due to the Earth's rotation for a person at a point on its surface located at 400N latitude. The radius of the Earth is 6.4 .106 m. A 299 m/s B 357 m/s C 390 m/s D 465 m/s E 423 m/s 6.4 10 6 R 40 deg r R cos ( ) v 2 r 24 60 60 v 356.533 13. A 0.4 kg mass, attached to the end of a 0.75 m string, is whirled around in a circular horizontal path. If the maximum tension that the string can withstand is 450 N, then what maximum speed can the mass have if the string is not to break? A 370 m/s B 22 m/s C 19 m/s D 29 m/s E 0.42 m/s m 0.40 L 0.75 T max 450 2 m v T L T max L v max m v max 29.047 14. A 1500 kg car rounds an unbanked curve with a radius of 52 m at a speed of 12 m/s. What minimum coefficient of friction must exist between the road and tires to prevent the car from slipping? A 0.18 B 0.30 C 0.28 D 0.37 E 0.42 v M 1500 R 52 v 12 fr max M v 2 R smin 2 R g smin 0.283 15. A 75 kg swimmer dives horizontally off a 500 kg raft. If the diver's speed immediately after leaving the raft is 4 m/s, what is the corresponding raft speed? A 0.2 m/s B 0.5 m/s C 0.6 m/s D 4.0 m/s E 5.0 m/s m 75 M 500 v 4 V m M v m 4 0.6 V 0.6 M 16. The kinetic energy of an object is quadrupled. Its momentum will change by what factor? A zero B two C eight D four E None of the above 1 2 1 2 4 m v m (2 v) 2 2 17. A 5 kg object is moving to the right at 4 m/s and collides with another object moving to the left at 5 m/s. The objects collide and stick together. After the collision the combined object A is moving to the right B is moving to the left C is at rest D has less kinetic energy than the system had before the collision E has the same kinetic energy that the system had before the collision 1C 2A 3C 4D 5E 6D 7A 8A 9B 10A 11B 12B 13D 14C 15C 16B 17D