# 1. One mile is equal to 1609 meters; one hour is equal to 3600 seconds, mph is 1 mile per hour. The speed of 17 m/s is equivalent to the speed of:

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1 Sample Final 105_fall One mile is equal to 1609 meters; one hour is equal to 3600 seconds, mph is 1 mile per hour. The speed of 17 m/s is equivalent to the speed of: A) 17 mph B) 38 mph C) 7.6 mph D) mph E) 38 m/s 2. A box with the dimensions of 2.54 cm 12.7 cm 5.08 cm has a volume of: Use 1 inch = 2.54 cm, 1m = 100cm A) 10 inch3 B) 100 inch3 C) 164 inch3 D) 164 inch E) 164 m3 3. At a stop light, a truck traveling at 15 m/s passes a car as it starts from rest. The truck travels at constant velocity and the car accelerates at 3 m/ s 2. How much time does the car take to catch up to the truck? A) 5 s B) 10 s C) 15 s D) 20 s E) 25 s 4. An object dropped from the window of a tall building hits the ground in12.0 s. If its acceleration is 9.8 m/ s 2, the height of the window above the ground is : A) 29.4 m B) 58.8 m C) 118 m D) 353 m E) 706 m 5. The angle between vectors A = 4 i 3 j and B = 4 i 3 j is equal to REMEMBER i and j are unit vectors along +x and +y A) 0º B) 0.28 C) 45º D) 74º E) 106º 6. A vector in the xy plane has a magnitude of 25 m and an x component of 12 m. Theangle it makes with the positive x axis is: A) 26 o B) 29 o C) 61 o D) 64 o E) 241 o

2 7. A large cannon is fired from ground level over level ground at an angle of 30 o above the horizontal. The muzzle speed is 490 m/s. Neglecting air resistance, the projectile will travel what horizontal distance before striking the ground? : A) 1.08 km B) 2.13 km C) 10.8 km D) 21.3 km E) 42.5 km 8. A ball is pushed with an initial velocity of 4.0 m/s. It has a constant acceleration of 1.6 m/s 2. What is the ball's velocity after 8.0s? a. 10 m/s b. 12 m/s c. 16 m/s d. 17 m/s e. 19 m/s 9. Two blocks with the masses of 5.0 kg on table and 2.0 kg are connected by a string as shown. If the pulley is massless and the surface is frictionless these masses move with acceleration. Find the magnitude of tension in the string: A) 20 N B) 35 N C) 50 N D) 14 N E) 0.0 N 10. Two blocks in the above figure, are exchanged so that the 2.0 kg mass is on table and the 5.0 kg mass is hanging. The table surface has friction (μ k = 0.4) but these masses move with constant velocity. Find the magnitude of tension in the string: A) 20 N B) 35 N C) 50 N D) 14 N E) 0.0 N 11. A 8-kg block is pulled along a rough horizontal surface ( μ k = 0.2) by a rope that exerts a 30 N tension force directed 30 o above the horizontal. What is the magnitude of the friction force on the block? (A) 13 N (B) 28 N T (C) 45 N (D) 70 N (E) 80 N 8 kg 30 o

3 12. An automobile of mass kg moving at 20 m/s is braked suddenly with a constant braking force of N. How far does the car travel before stopping? a. 2.5 m b. 66 m c. 80 m d. 20 m e. 102 m 13. A 5-kg object is moving at 7 m/s. A 2-N force is applied in the opposite direction of motion and then removed after the object has traveled an additional 20 m. What is its final kinetic energy? a. 83 J b. 122 J c. 210 J d. 40 J e. 25 J 14. A 2 kg crate starting at rest slides down a rough 5.0-m long ramp, inclined at 25 degree with the horizontal. 20 J of energy is lost to friction. What will be the speed of the crate at the bottom of the incline? a m/s b. 1.9 m/s c. 4.7 m/s d. 3.2 m/s e. 5.6 m/s 15. An athlete of mass 70 kg on a trampoline leaps straight up into the air with an initial speed of 9.0 m/s. Find the kinetic energy of the athlete when she is halfway up to her maximum height. a. 0 J b J c J d. 700 J e J 16. A jet engine develops 1.0 x 10 5 N of thrust in moving an airplane forward at a speed of 250 m/s. What is the power developed by the engine? a. 50 MW b. 10 MW c. 65 MW d. 500 kw e. 25 MW 17. A 10kg mass drops on a vertical spring (spring constant k = 5.0 x 10 4 N/m) from a height of 5m. Neglect air resistance. What is the maximum compression of the spring? a. 1.4 x 10-1 m b. 2.0 x 10-2 m c. 1.0 x 10-1 m d. 1.0 x 10-2 m e. 2.8 x 10-1 m

4 18. A Hooke s law spring is compressed a distance d and is used to launch a mass m vertically to a height h above its starting position. Next, the spring is compressed by 2d and is used to launch the same mass. How high does the mass now rise above its starting position? ANS: 4h 19. Alex throws a 0.15-kg rubber ball down onto the floor. The ball's speed just before impact is 6.5 m/s, and just after is 3.5 m/s. If the ball is in contact with the floor for s, what is the magnitude of the average force applied by the floor on the ball? a. 60 N b. 133 N c. 3.0 N d. 3.5 N e. 87 N 20. A 4-kg mass moves to the right with a speed of 8 m/s. It collides head - on with a 6 kg mass moving to the left with a speed of 3 m/s. If the collision is perfectly inelastic, what is the speed of the masses after the collision? a. 0.1 m/s b. 0.5 m/s c. 1.4 m/s d. 4.4 m/s e. 5.2 m/s 21. Two cars collide at an intersection. The collision is perfectly inelastic. The cars stick and travel together after the collision. Car 1 with mass 1500 kg, is travelling east at 15 m/s. Car 2 with mass 2000 kg, is travelling north at 20 m/s. After the collision, what is the wreck s velocity magnitude and direction? Give the direction as an angle relative to east. ANS: 13 m/s at 60º 22. A 10-kg block is connected to a 40-kg block as shown in the figure. The surface on which the blocks slide is frictionless. A force of 50 N pulls the blocks to the right. What is the magnitude of the tension T in the rope that connects the two blocks? (A) 0 N (B) 10 N (C) 20 N (D) 40 N (E) 50 N.

5 23. A N weight is suspended in equilibrium by two cables. Cable 1 applies a horizontal force to the right of the object and has a tension, T 1. Cable 2 applies a force upward and to the left at an angle of 45.0 to the negative x axis and has a tension, T 2. Find T 1. a N b N c N d N e N 24. A small 600-kg car travels across the crest of a circular hump of radius 22.5 m. What is the maximum speed at which the car can go over the hump without losing contact with the road? (A) 30 m/s (B) 28 m/s g (C) 20 m/s (D) 15 m/s (E) 10 m/s R = 22.5m R 25. A small coin is placed on a flat horizontal turntable. The turntable is observed to make one revolution in 3.14 s. (a) What is the speed of the coin when it rides without slipping at a distance 0.3 m from the center of the turntable? [ ANS: 0.6 m/s (b) What is the coefficient of static friction between the coin and the turntable, if the coin is observed to slide off the turntable when it is more than 0.3 m from the center of the turntable? Use g = 10 m/s 2. [1.5 points] ANS: 0.12 o 26. A block of mass 5 kg rests on a plane inclined at 25 to the horizontal, as shown below. Between the block and the plane, the coefficient of static friction is 0.25, and the coefficient of kinetic friction is Use g = 10 m/s 2. What is the minimum force F, parallel to the plane, that will prevent the sled from slipping down the plane? ANS: 9.8N

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