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Name:__________________________________ Date:_________________________________ Final Review Honors Physics (14-15): Please print out this review and complete the problems in the spaces provided. ALL problems MUST be completed and correct for full credit. THIS REVIEW WILL BE WORTH 15% OF YOUR FINAL EXAM GRADE. THE REVIEW WILL BE COLLECTED ON THE DAY OF YOUR FINAL EXAM, DURING THE EXAM. I WILL NOT ACCEPT LATE SUBMISSION OF THE REVIEW FOR ANY REASON. Kinematics, Freefall, and Projectile Motion 1. An airplane starting from rest travels 500 meters down the runway and is airborne in 20 seconds. Assuming a constant acceleration, 2. a. What was the acceleration of the airplane down the runway?( 2.5 m/s2) b. With what velocity does the airplane take off? ( 50 m/s) A toy rocket is fired straight up into that air with an acceleration of 42 m/s 2 over a period of 2.7 seconds. a. How high is the rocket when the motor burns out? (153.1 ) b. What is the velocity of the rocket when the motor burns out? ( 113.4 m/s) c. After the motor burns out, how high will the rocket reach? (809.2 m) d. What is the total amount of time that the rocket is in the air? (27.12 m) e. What is the velocity of the rocket when it returns to the ground? (-125.8 m/s) Name:__________________________________ Date:_________________________________ 3. A rifle is fired from the top of a 150 meter tall building at an angle of 25 degrees with the horizontal. If the velocity of the bullet is 200 m/s when leaving the rifle, a. How long will it take for the bullet to strike the ground below? (18.9 sec) b. How far from the building will the bullet land? (3425.8 m) c. How high will the bullet go above the ground? (514.5 m), -100.4 m/s, 181.3 m/s, 207.24 m/s @ 61.02 degrees below the +x axis d. What is the vertical component of the velocity when the bullet strikes the ground? (-100.4 m/s) e. What is the horizontal component of the velocity of the bullet when it strikes the ground?( 181.3 m/s) f. What is the resultant velocity of the bullet when it strikes the ground?( 207.24 m/s @ 61.02 degrees below the +x axis) Name:__________________________________ Date:_________________________________ Forces 4. Little Max is pulling a toy wagon of mass 15 kg at a constant velocity. The coefficient of friction between the wagon wheels and the ground is 0.47. a. If Max is pulling at an angle of 320 with the ground, how hard is he pulling? (63.15N) b. Now Max begins to run causing the wagon to accelerate at 1.2 m/s 2. If Max is still pulling at the 32 degree angle, how hard is he pulling now?( 79.2N ) c. Max has made it onto the grass. Pulling horizontally with a force of 120 N, Max causes an acceleration of 0.3 m/s 2. What is the coefficient of friction between the grass and the wagon? (0.785) d. Max is now riding in the wagon giving it a total mass of 35 kg while riding down a 250 hill. The coefficient of friction between the wagon and ground is 0.47. What is the acceleration of the wagon as it rolls downhill? (0.033 m/s2) Name:__________________________________ Date:_________________________________ Work and Energy: 5. The launching system of a 1000 kg frictionless rollercoaster applies 4000 N of force over a distance of 120 meters. a. What is the velocity of the rollercoaster when it is launched? (31 m/s) b. What is the biggest hill that this rollercoaster can make it over? ( 48.9 m) c. What is the velocity of the roller coaster at a height of 15 meters above the ground?(25.8 m/s) d. How high is the rollercoaster when its velocity is 22 m/s? (24.3 m) e. The coaster travels around the inside of a circular loop of diameter 15.0 m. How fast is it traveling at the top of the loop? ( 19.3 m/s) f. What is the force exerted by the track on the coaster at the top of the loop? (15000 N) Name:__________________________________ Date:_________________________________ g. 6. How many g’s of force does a rider feel at the top of the ride? ( 1.53 g’s) A 10 kg bowling ball is rolling at 10 m/s over a rough surface for a distance of 20.0 meters. The ball then runs into a horizontally mounted spring with a spring constant of 250 N/m. If the coefficient of friction between the ball and the rough surface is 0.125… a. How fast is the ball rolling when it strikes the spring? (7.14 m/s) b. How far will the ball compress the spring?(You may ignore friction after the ball strikes the spring)( 1.43 m) Chapter 6: Impulse and Momentum: 7. Two carts with masses of 10 kg and 2.5 kg move in opposite directions on a frictionless horizontal track with speeds of 6.0 m/s and 3.0 m/s respectively. The cars stick together after a headlong collision. Find the speed of the cars after the collision. (4.2 m/s) 8. The front 1.20 m of a 1250 kg car is designed as a "crumple zone" that collapses to absorb the shock of a collision. (a) If a car traveling 28.0 m/s stops uniformly in 1.20 m, how long does the collision last? (0.0857 s) (b) What is the magnitude of the average force on the car? (4.08e+05 N) (c) What is the acceleration of the car? Express the acceleration as a multiple of the acceleration of gravity.(33.3 g) Name:__________________________________ Date:_________________________________ 9. A 735 N man stands in the middle of a frozen pond of radius 5.0 m. He is unable to get to the other side because of a lack of friction between his shoes and the ice. To overcome this difficulty, he throws his 1.2 kg physics textbook horizontally toward the north shore at a speed of 5.0 m/s. How long does it take him to reach the south shore? (62.5 s) 10. A 10.0 g object moving to the right at 24.0 cm/s makes an elastic head-on collision with a 15.0 g object moving in the opposite direction at 31.0 cm/s. Find the velocity of each object after the collision. (-42 cm/s, 13 cm/s) Chapter 7: Circular Motion: 11. A certain light truck can go around a flat curve having a radius of 150 m with a maximum speed of 28.0 m/s. Draw a Free body diagram for the truck. What is the force that provides the centripetal force for the truck? With what maximum speed can it go around a curve having a radius of 79.0 m? (Static Friction, 20.3 m/s) Name:__________________________________ Date:_________________________________ 12. Tarzan (m = 66 kg) tries to cross a river by swinging from a 10 m long vine. His speed at the bottom of the swing (as he just clears the water) is 6.6 m/s. Tarzan doesn't know that the vine has a breaking strength of 1000 N. Does he make it safely across the river? Give the tension in the vine at the bottom of his swing to support your answer. (Yes; 934 N) 13. An engineer wishes to design a curved exit ramp for a toll road in such a way that a car will not have to rely on friction to round the curve without skidding. She does so by banking the road in such a way that the force of the centripetal acceleration will be supplied by the component of the normal force toward the center of the circular path. Find the angle at which the curve should be banked if a typical car rounds it at a 54.0 m radius and a speed of 47 km/h.( 17.850) 14. A 0.10 kg solid rubber ball is attached to the end of a 0.80 m length of light thread. The ball is swung in a vertical circle. The speed of the ball is kept constant at 6.0 m/s throughout this experiment. Determine the tension in the thread at … a. the top of the circle and (3.52 N) b. the bottom of the circle. (5.48 N) Name:__________________________________ Date:_________________________________ 15. Determine the acceleration due to gravity at the location of a satellite orbiting the Earth 3.38X107 m above the Earth’s surface. Find the period, and the tangential velocity, of the satellite. ( 0.247 m/s2, 80097.6s, 3151.1m/s ) Chapter 17: Electrostatics and Coulomb’s Law: 16. Three identical charges (q = -5.1 µC) are along a circle of radius 2.3 m radius at angles of 30°, 150°, and 270°, as shown in Figure P15.25. What is the resultant electric field at the center of the circle?(0 N/C) 17. Each of the protons in a particle beam has a kinetic energy of 3.20 10-15 J. What are the magnitude and direction of the electric field that will stop these protons in a distance of 1.40 m? The charge of a proton is 1.6X10-19 C, and its mass is 1.67X10-27 kg. (14300 N/C, opposite the direction of the beam) Name:__________________________________ Date:_________________________________ 18. Two point charges lie along the y axis. A charge of q1 = -12.0 µC is at y = 8.0 m, and a charge of q2 = -2.0 µC is at y = -2.0 m. Locate the point (other than infinity) at which the total electric field is zero. (0.899 m) 19. Three charges are arranged as shown in the figure. Find the magnitude and direction of the electric field at the location of the charge at the origin. Find the magnitude and direction of the electrostatic force on the charge at the origin. (a. 2.6*103 N/C, 770 below the negative x-axis, b. 1.38*10-5N, 770 below the negative x-axis) Chapter 18: Electrical Energy and Potential: 20. Oppositely charged parallel plates are separated by 5.30 mm. A potential difference of 600 V exists between the plates. (a) Draw the plates and the electric field lines between them. Name:__________________________________ Date:_________________________________ (b) What is the magnitude of the electric field strength between the plates? (1.13 ×10 5 N/C) (c) What is the magnitude of the force on an electron between the plates? (1.81×10 -14 N) (d) An electron is initially positioned 2.90 mm from the negative plate and released. What is the change in its potential energy when it reaches the positive plate? (-4.35×10-17 J) (e) How fast is the electron moving when it hits the positive plate? The mass of an electron is 9.11×10-31 kg. (9.8×106 m/s) Chapter 19-20: Current, Resistance, Power and Circuits: 21. A particular wire has a resistivity of 3.2 10-8 Ω·m and a cross-sectional area of 4.0 10-6 m2. A length of this wire is to be used as a resistor that will develop 51 W of power when connected across a 20 V battery. What length of wire is required? How many electrons flow past a cross-section of the wire in one minute? (980 m, 9.56×1020 electrons) 22. A steam iron draws 6.2 A from a 120 V line. (a) What is the power rating of this iron? (744 W) Name:__________________________________ Date:_________________________________ (b) How many joules of thermal energy are produced in 20 min? (8.93×105 J) (c) How much does it cost, at $0.080/kWh, to run the steam iron for 20 min?(1.98 cents) 23. For the circuits shown in the diagram below find the equivalent resistance, current drawn from the battery, the current through each resistor and the voltage drop across each resistor. (7.97 Ω, 0.71 A, I1=0.71A, ∆V1=3.55 V, I2=0.094A, ∆V2=0.94V, I3=0.189 A, ∆V3= 0.94V, I4=0.29A, ∆V4=1.16 V, I5=0.42A, ∆V5=2.1V) R2=10.00 Ω 3 R1=5.00 Ω R4 R3 R5=5.00 Ω 5.65 V