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Lecture Problems

Course: PHYS 123 Phys 123, Spring 2011
School: Buena Vista
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Word Count: 705

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A 1) 1000-kg car is driving along a hilly road. At the top of a hill, the car has a speed of 20 m/s and a forward acceleration of 1.0 m/s2. At the bottom of the hill, the car has a speed of 10 m/s and a backward acceleration of 1.0 m/s2. R = 200 m R = 200 m a) What is the centripetal acceleration of the car at the top of the hill? b) What is the centripetal acceleration of the car at the bottom? 1) (continued)...

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A 1) 1000-kg car is driving along a hilly road. At the top of a hill, the car has a speed of 20 m/s and a forward acceleration of 1.0 m/s2. At the bottom of the hill, the car has a speed of 10 m/s and a backward acceleration of 1.0 m/s2. R = 200 m R = 200 m a) What is the centripetal acceleration of the car at the top of the hill? b) What is the centripetal acceleration of the car at the bottom? 1) (continued) A 1000-kg car is driving along a hilly road. At the top of a hill, the car has a speed of 20 m/s and a forward acceleration of 1.0 m/s2. At the bottom of the hill, the car has a speed of 10 m/s and a backward acceleration of 1.0 m/s2. R = 200 m R = 200 m c) What is the acceleration of the car at the top? d) What is the acceleration of the car at the bottom? 1) (continued) A 1000-kg car is driving along a hilly road.... R = 200 m R = 200 m e) If the speed of the car is 50 m/s when at the top, what normal force acts on the car? f) If the speed of the car was 50 m/s when at the bottom, what normal force acts on the car? g) What is the maximum speed that the car can have as it drives over the top of the hill? 2) An astronaut in outer space has a mass m = 0.5 kg tied to a piece of string of length l = 0.75m. He holds one end of the string and swings the mass around in a horizontal circle over his head. The mass goes around once every 0.8 s. a) What is the speed of the mass? b) What is the tension in the string? 3) The astronaut comes back to Earth with the mass m = 0.5 kg tied to a piece of string of length l = 0.75m. He holds one end of the string and swings the mass around in a vertical circle in front of him. The mass goes around once every 0.8 s. a) What is the tension in the string when the mass is at its highest point? b) What is the tension in the string when the is mass at its lowest point? c) What is the speed and location of the mass if the tension in the string is zero? 4) The astronaut still has the mass m = 0.5 kg tied to a piece of string of length l = 0.75m. He now holds one end of the string and swings the mass around in a horizontal circle over his head. The mass goes around once every 0.8 s. a) What angle does the string make with the horizontal? b) What is the tension in the string? c) What is the speed of the mass? 5) A car is driving on a curved r road of radius r = 100 m that is banked at an angle q q to the horizontal. The coefficient of static friction between the road and the tires is m. a) If q = 0 and m = 0.5, what is the maximum speed the car can have and not slip? b) If q = 20 and m = 0, what is the maximum speed the car can have and not slip? c) If q = 20 and m = 0.2, what is the maximum speed the car can have and not slip? 6) In the late 1700's, Henry Cavendish measured the gravitational force between two 500-kg masses held 3.0 meters apart. He found the force to be 1.85 x 10-6 N. a) What value of the gravitational constant was determined from this data? b) One hundred years later, two French scientists used the results to do something cool. They knew that the center of the moon was 3.82 x 108 m from the center of the earth. They also knew that the moon circled the earth every 27.3 days = 2.36 x 106 s. What did they calculate for the mass of the earth? 7) The satellites used for cell phones, television signals, and GPS are "geosynchronous"... they orbit the earth every 24 hours = 8.64 x 104 s. a) What is the radius of a geosynchronous satellite's orbit? b) What is the speed of a geosynchronous satellite? c) If a certain geosynchronous satellite has a mass of 2000 kg, what is its weight when in orbit?
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Buena Vista - PHYS 123 - Phys 123
Physics HonorsFv KmaacF fsUev rs2Chapter 7 Test GmM R3 Fg T2 r2FormKepler Constant1b2 4ac 2aGiven: ax2 bx c 0 then: xb2 r T 1 2 mv 2FNF fk UgkFNFek x1 k x2 2mghK UQG6.67 10 11N m2 kg 2A recently discovered planet orbits a di
Buena Vista - PHYS 123 - Phys 123
Physics HonorsChapter 7 WorksheetA child is playing with a toy comprised of a massless 85-cm string attached to a small 0.04-kg ball. The child swings the ball in a vertical circle so that the period of the ball's rotation is 1.3 seconds. 1. 2. What is
Buena Vista - PHYS 123 - Phys 123
Physics HonorsChapter 7 WorksheetA child is playing with a toy comprised of a massless 85-cm string attached to a small 0.04-kg ball. The child swings the ball in a vertical circle so that the period of the ball's rotation is 1.3 seconds. 1. 2. 3. What
Buena Vista - PHYS 123 - Phys 123
Table 1: Speed versus Acceleration magnitude and the Speed Squared of an accelerometer in a circular orbit of radius 0.5 m Radius of wire = 0.5 mSpeed, v (m/s) 9.0 8.8 8.8 7.7 7.6 6.9 6.9 6.5 5.5 5.3 Acceleration, a (m/s2) 210 160 170 120 130 100 90 80 6
Buena Vista - PHYS 123 - Phys 123
250f(x) = 0.5753633066 x^2.6370139879 R = 0.9630261879200f(x) = 2.4278810799 x^1.6068609271 R = 0.9820767116 150 Accelerat ion, a (m/s2)10050Speed, v (m/s) 0 4 5 6 7 8 9 10 11 12 13 14Table 1: Acceleration magnit ude is direct ly proportional to t
Buena Vista - PHYS 123 - Phys 123
Chapter 7 WebLab#1"Carousel-Centripetal Force"* Go to the following website: http:/www.walter-fendt.de/ph14e/carousel.htm * Carefully read the instructions, then scroll down to the animation. * Select "Carousel with forces". The blue arrow is the tensio
Buena Vista - PHYS 123 - Phys 123
Chapter 7 WebLab#2* * * * * *"Force Needed for Circular Motion"**Go to the following website: http:/physci.kennesaw.edu/javamirror/ntnujava/projectileOrbit/projectileOrbit.html Carefully read the instructions, then click "Start Simulation". Note the
Buena Vista - PHYS 123 - Phys 123
Figure 1: Displacement vector diagrams for off-center collision between two identical marbles.y d1 y d1 xo x2d21 2d21xo x
Buena Vista - PHYS 123 - Phys 123
Metal Hits Metal X0 X1 48.0 48.5 45.0 45.0 49.7 46.0 47.0 48.5 48.5 47.4 15.9Y1 22.0 12.0 10.0 16.7 19.0 10.0 15.0 15.5 22.5 14.0 10.0 11.5 6.0 15.8 14.0 15.0 19.0 20.0 14.8X2 23.0 36.0 31.2 31.0 27.0 33.0 31.0 30.0 25.2 29.7Y2 11.0 12.5 10.6 12.1 17.0
Buena Vista - PHYS 123 - Phys 123
Table 1: Off-center collision data between two identical marbles Ramp marble mass = 8.5 grams Target marble mass = 8.5 grams No collision distance x0 (cm) 48.0 48.5 45.0 45.0 49.7 46.0 47.0 48.5 48.5 Ramp marble distance x1 (cm) 22.0 12.0 10.0 16.7 19.0 1
Buena Vista - PHYS 123 - Phys 123
Physics HonorsChapter 6 Test: Momentum and Impulseversion 1 p = mv p = Ft v10 + v1f = v 20 + v 2fsometimes v1f = v 2fsometimes 1f + 2f = 90 sometimesK=1 mv 2 2U g = mghsin a sin b sin c = = a b cLaw of Sinesc 2 = a 2 + b 2 - 2ab cos Law of
Buena Vista - PHYS 123 - Phys 123
Materials:Launch ramp, two metal marbles (m1 = 8.5 grams), one glass marble (m2 = 3.4 grams) OR one large marble (m2 = 19 grams), meter stick, notebook paper, carbon paper, and masking tape.Directions: 1) Clamp the ramp to the end of the table. Turn the
Buena Vista - PHYS 123 - Phys 123
1) A spaceship fires its rocket engines, which exert a force in the direction of motion that varies with time as shown in the graph.rocket mass m = 10000 kg initial velocity vo = 100 m/s [R]F (kN)10t (s)2050 60a) What impulse acts on the rocket? b)
Buena Vista - PHYS 123 - Phys 123
Physics HonorsChapter 6 Quiz1.The area under the curve on an F-t graph represents A. impulse. B. momentum. C. work. D. energy. E. change in impulse. A golf ball traveling 3 m/s to the right collides in a head-on collision with a stationary bowling ball
Buena Vista - PHYS 123 - Phys 123
Physics HonorsChapter 6 Test: Momentum and Impulseversion 1 p = mv p = Ft v10 + v1f = v 20 + v 2fsometimes v1f = v 2fsometimes 1f + 2f = 90 sometimesK=1 mv 2 2U g = mghsin a sin b sin c = = a b cLaw of Sinesc 2 = a 2 + b 2 - 2ab cos Law of
Buena Vista - PHYS 123 - Phys 123
Problem number:Answer is [ Problem number:.][]Answer is [ Problem number:.][]Answer is [ Problem number:.][]Answer is [ Problem number:.][]Answer is [.][]Problem number:Answer is [ Problem number:.][]Answer is [ Problem num
Buena Vista - PHYS 123 - Phys 123
A 100-gram steel marble traveling at 5 m/s [Right] collides with a target sphere at rest. The magnitude of the force between the marble and the sphere is given by FF Fmax2kFmax t k 2t 2 where Fmax = 10.0 N and the constant k = 500N/s. The force is grap
Buena Vista - PHYS 123 - Phys 123
A 100-gram steel marble traveling at 5 m/s [Right] collides with a target sphere at rest. The magnitude of the force between the marble and the sphere is given by FF Fmax2kFmax t k 2t 2 where Fmax = 10.0 N and the constant k = 500N/s. The force is grap
Buena Vista - PHYS 123 - Phys 123
Chapter 6 WebLab#1"Elastic and Inelastic Collisions"Section #9* Go to the following website: http:/www.walter-fendt.de/ph14e/collision.htm * Select "Elastic Collision" and press Start. Note that the masses of the two carts are both 0.5 kg. Observe the
Buena Vista - PHYS 123 - Phys 123
Chapter 6 WebLab#2: "Collisions"Notebook Section #10* Go to the following website: http:/surendranath.tripod.com/Applets.html * Move the cursor to white box that says "Applet Menu". Then move the cursor to "Dynamics". Then select "Collisions". A new scr
Buena Vista - PHYS 123 - Phys 123
Table 1: Empty Cart Mass: 222 grams Mass added to Cart: 700 grams String Mass: 50 grams Velocity, v (m/s) 0.1381 0.1868 0.2230 0.2532 0.2788 0.3030 0.3257 0.3468 0.3668 0.3806 0.4060 0.4243 0.4418 0.4566 0.4688 0.4831 0.4975 0.5102 0.5236 0.5386 0.5535 0.
Buena Vista - PHYS 123 - Phys 123
Cart Experiment Speed Keep this as zero Actual data starts HERE 0.000Mass of empty cart Speed SquaredMass put on cart Mass on string Position Kinetic Energy DELTA(KE) ork W Fill in the masses Fill in Speed and position, ignoring the red And the data wil
Buena Vista - PHYS 123 - Phys 123
A certain spring hanging from the ceiling has a force constant k = 50 N/m and a natural length lo = 20 cm. A 0.5-kg mass is attached to the spring, and the mass is lifted so that the spring is 10 cm long. The mass is then released from rest. 1) 2) 3) 4) 5
Buena Vista - PHYS 123 - Phys 123
Table 1: Velocity versus Velocity Squared, Position, Kinetic Energy, Change in Kinetic Energy, and Work of a moving cart pulled by a string mass. Empty Cart Mass: 222 grams Mass added to Cart: 700 grams String Mass: 50 grams Position, X (m) 0.030 0.045 0.
Buena Vista - PHYS 123 - Phys 123
A certain spring hanging from the ceiling has a force constant k = 50 N/m and a natural length lo = 20 cm. A 0.5-kg mass is attached to the spring, and the mass is lifted so that the spring is 10 cm long. The mass is then released from rest. 1) 2) 3) 4) 5
Buena Vista - PHYS 123 - Phys 123
Cart Experiment Speed Keep this as zero Actual data starts HERE 0.000 0.138 0.187 0.224 0.253 0.279 0.303 0.326 0.347 0.367 0.387 0.406 0.424 0.442 0.455 0.469 0.483 0.498 0.510 0.524 0.539 0.554 0.567 0.580 0.591 0.609 0.619 0.632 0.650Mass of empty car
Buena Vista - PHYS 123 - Phys 123
A force F pushes a box of mass m up an incline. The box moves a distance x up the incline from an initial speed vo to a final speed v. Kinetic friction acts on the box. qFx1) Use the methods of Chapters 2 and 4 to solve for the quantity v2 in terms of
Buena Vista - PHYS 123 - Phys 123
Cart Experiment Speed Actual data starts HEREMass of empty cart Mass put on cart Mass on string 0.222 0.7 0.05 Speed Squared Position Kinetic Energy DELTA(KE) Work 0.000 0.000 0.000 0.000 0.000 0.000 0.195 0.038 0.015 0.018 0.018 0.007 0.138 0.019 0.030
Buena Vista - PHYS 123 - Phys 123
Station One:At home: At home: At home:At home:Materials: CBL with photogate, pulley, cart (mass m1 = 222 g), masses to put on cart (m2), string, masses to put on string (m3). .Directions: 1) Put m2 = 700 grams on the cart. Use hanging mass m3 = 50 g. U
Buena Vista - PHYS 123 - Phys 123
1) A force F pushes a box of mass m up an incline. The box moves a distance x up the incline from an initial speed vo to a final speed v. Kinetic friction acts on the box. qF xa) Use the methods of Chapters 2 and 4 to solve for the quantity mv2 in terms
Buena Vista - PHYS 123 - Phys 123
Physics HonorsQuiz:Chapter 51.When a crate of mass m is dragged a distance d along a horizontal surface with coefficient of kinetic friction mk, and then dragged back along the same path to its original position, the work done by friction is A. zero B
Buena Vista - PHYS 123 - Phys 123
Physics HonorsChapter 5 TestDO NOT WRITE ON THIS TEST. SHOW WORK ON ANSWER SHEET REPORT ALL ANSWERS TO 3 SIGNIFICANT FIGURES. USE SCIENTIFIC NOTATION WHEN APPROPRIATE cfw_X>100 or X< 0.1FORM 1K=1 2 mv 2U g = mgh W = P tW = Fd cos P = FvUe =1 2 kx
Buena Vista - PHYS 123 - Phys 123
Chapter 5 WebLab#1: "Force and Work"Notebook Section #9* Go to the following website: http:/lectureonline.cl.msu.edu/~mmp/kap5/work/work.htm * Drag the red "brick" vertically upwards and downward with the mouse, and observe how the "energy meter" change
Buena Vista - PHYS 123 - Phys 123
Chapter 5 WebLab#2: "Inclined Plane"Notebook Section #10* Go to the following website: http:/www.ngsir.netfirms.com/englishhtm/Incline.htm * Push "start" to begin the simulation. The box will slide down the frictionless incline and then perfectly bounce
Buena Vista - PHYS 123 - Phys 123
Name: _ "Motion on an Inclined Plane" * *Chapter 4 WebLab#1Go to the following website: http:/lectureonline.cl.msu.edu/~mmp/kap4/cd095a.htmQuestions: 1) In a frictionless system (where the friction coefficient is zero), what happens to the acceleration
Buena Vista - PHYS 123 - Phys 123
Constant total Mass String MassAcceleration 50 0.227 100 0.437 150 0.557 200 0.798 300 1.312 350 1.481 400 1.57 450 1.81Constant String Mass total Mass Acceleration 672 2.754 922 2 1172 1.521 1422 1.266 1672 1.211 1922 0.946 2172 0.793 2422 0.738
Buena Vista - PHYS 123 - Phys 123
Table 1: Total mass vs. acceleration of a moving car with a constant string mass. String Mass = 200 g Empty Cart Mass = 222 g Total mass mtotal (g) 672 922 1172 1422 1672 1922 2172 2422 Acceleration, a (m/s2) 2.754 2.000 1.521 1.266 1.211 0.946 0.793 0.73
Buena Vista - PHYS 123 - Phys 123
Lab Instructions Part One Materials: various masses C-clamp blue workbookChapter 4CBL with calculator wooden block armorlab cart photogate with wheel orange stringDirections: 1) Be sure the wooden block is clamped to the end of your table, with the ph
Buena Vista - PHYS 123 - Phys 123
a)Draw a diagram showing all of the forces acting on box D. Label each force with its type and the object that exerts the force. This is a "free body diagram".b)Apply the Second Law to create an equation for the acceleration of box D. This is the "equati
Buena Vista - PHYS 123 - Phys 123
Chapter 4 Problems: 1) A man pushes against four boxes, which rest on a frictionless surface.FABCDa) Draw a diagram showing all of the forces acting on box D. Label each force with its type and the object that exerts the force. This is a "free body
Buena Vista - PHYS 123 - Phys 123
Physics HonorsChapter 4 Quiz1.Two identical masses are attached by a string that passes over a pulley. One mass hangs from the pulley; the other rests on a table and is pulled to the right by the string. The table and the pulley are frictionless. The m
Buena Vista - PHYS 123 - Phys 123
Physics Honors x t v tTest: Chapter 4 1 2 at 2FORM1DO NOT WRITE ON THIS TEST. REPORT ALL ANSWERS TO 3 SIGNIFICANT FIGURES. VECTOR ANSWERS MUST HAVE MAGNITUDE AND DIRECTION. USE SCIENTIFIC NOTATION WHEN APPROPRIATEv=vavg =a=v f = vo + at F = ma2 v
Buena Vista - PHYS 123 - Phys 123
Physics Honors x t v tTest: Chapter 4 1 2 at 2FORM1DO NOT WRITE ON THIS TEST. REPORT ALL ANSWERS TO 3 SIGNIFICANT FIGURES. VECTOR ANSWERS MUST HAVE MAGNITUDE AND DIRECTION. USE SCIENTIFIC NOTATION WHEN APPROPRIATEv=vavg =a=v f = vo + at F = ma2 v
Buena Vista - PHYS 123 - Phys 123
v v v v f = vo + at2 v 2 = vo + 2ax f1v v v x = vot + at 2 2 v r F = ma1v v v x = v f t - at 2 2 F fs s FNv 1 v v x = ( v f + vo ) t 2 F fk = k FNA 20-kg block is connected by a string over a pulley to a 10-kg box, as shown at right. The string and p
Buena Vista - PHYS 123 - Phys 123
So when you do the lab you will notice that your answers to #17 and #18 on the Chapter 4 Lab Worksheet are not really that close to each other. Question #19 asks you to compare the two numbers, and the two numbers are about 20% apart. What to do? What I w
Buena Vista - PHYS 123 - Phys 123
Chapter 4 WebLab#1: "Motion on an Inclined Plane"Notebook Section #9* Go to the following website: http:/lectureonline.cl.msu.edu/~mmp/kap4/cd095a.htm * Use the simulation to answer the questions below. Questions: 1) In a frictionless system (where the
Buena Vista - PHYS 123 - Phys 123
Chapter 4 WebLab#2: "AstroPitch: Newton's Third Law"Notebook Section #10* Go to the following website: http:/blue.utb.edu/pdukes/PhysApplets/AstroPitch/TabbedastroPitch.html Questions: 1) How does the motion of the astronaut depend on the speed at which
Buena Vista - PHYS 123 - Phys 123
A stupid man shoots a bullet straight upwards. The bullet leaves the gun at time t= 0 with velocity v= vo= 200 m/s [U]. Assume a= 9.81 m/s2[D] and yo= y(t=0) = 0. 2)At what time t> 0 is the velocity of the bullet 10.0 m/s [D]?3)What is the maximum altitu
Buena Vista - PHYS 123 - Phys 123
Buena Vista - PHYS 123 - Phys 123
Ashutosh Jindal Lab Work Table 1: Time versus vertical velocity squared of a projectile =55Time, t (s) 0.000 0.125 0.250 0.375 0.500 0.625 0.750 0.875 X position, x (m) 0.00 0.68 1.37 2.06 2.75 3.44 4.12 4.81 Y position, Y (m) 0.25 1.12 1.77 2.20 2.41 2.
Buena Vista - PHYS 123 - Phys 123
864Vert ical Velocit y, Vy (m/s)20 0 -2 0.5 1 1.5 2 2.5 3-4-6 Vert ical Posit ion, Y (m)Graph 3: Vertical position of a projectile is proportional to t50 45 40 35 30 Vert ical Velocit y Squared, Vy2 (m/s)2 25 20 15 10 5 0 0 0.5 1 1.5 2 2.5 3 Vert
Buena Vista - PHYS 123 - Phys 123
PHYSICS HONORSLAB WORKSHEET: "PROJECTILE MOTION" http:/www.mhhe.com/physsci/physical/giambattista/proj/projectile.html1) Attach your data tables and graphs to the FRONT of this worksheet. Put your name on the front! Horizontal and vertical position of m
Buena Vista - PHYS 123 - Phys 123
Chapter 2 Problems: A stupid man shoots a bullet straight upwards. The bullet leaves the gun at time t = 0 with velocity v = vo = 200 m/s [U]. Assume a = 9.81 m/s2 [D] at yo = y (t = 0) = 0. 1) The barrel of the gun is 30 cm long. This means that the bull
Buena Vista - PHYS 123 - Phys 123
PHYSICS HONORS v vf2 vfCH. 3 TEST: TWO-DIMENSIONAL KINEMATICS v t 12 d vt a t o 2 g 9 0 s[ ] . m2 D 8 aversion v12 v211 x tShow your work. Use scientific notation for answers larger than 100 and less than 0.10. Include magnitude and direction fo
Buena Vista - PHYS 123 - Phys 123
PHYSICS HONORSCHAPTER 2 TEST: LINEAR MOTIONVERSION1Questions 1-8 are worth 10 points each. Question 9 is worth 20 points. Write answers using three significant figures. Use scientific notation for answers larger than 100 and less than 0.10. Include ma
Buena Vista - PHYS 123 - Phys 123
A girl at the top of a building of height 1.10 x 102 m throws a water balloon downward onto the head of an unsuspecting rodent. It takes 4.00 s for the balloon to travel from the girl's hand to the rodent's skull. 28) At what velocity does the water ballo
Buena Vista - PHYS 123 - Phys 123
Table 1: Time versus displacement of a car.Time, t (s) 0.0724 0.1293 0.1779 0.2209 0.2600 0.2960 0.3296 0.3612 0.3911 0.4196 0.4469 0.4732 0.4983 0.5227 0.5464 0.5693 0.5915 0.6132 0.6342 0.6548 0.6749 0.6946 0.7138 0.7327 0.7512 0.7694 0.7872 0.8047 Pos
Buena Vista - PHYS 123 - Phys 123
1.210.8f(x) = -0.0242458514x + 0.8654201286 R = 0.0021303581Accelerat ion, 0.6 a (m/s2) 0.40.20 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 T ime, T (s)Graph 3: Acceleration of the car is constantTime Position Velocity Acceleration 0.0724 0.03 0.232 0.8
Buena Vista - PHYS 123 - Phys 123
Chapter 2 WebLab#2: "Motion with Constant Acceleration"Notebook Section #10* Go to the following website: http:/www.walter-fendt.de/ph14e/acceleration.htm * Read the instructions carefully * Run the simulation with an acceleration of 1.00 m/s2. Observe
Buena Vista - PHYS 123 - Phys 123
Chapter 2 WebLab#1: "Distance, Velocity, & Acceleration Graphs" * Go to the following website: http:/ngsir.netfirms.com/englishhtm/Kinematics.htmNotebook Section #9* Play around with the drop down tab on the upper left hand side of the screen and run so
Buena Vista - PHYS 123 - Phys 123
Physics Honors One-Dimensional Kinematics:vf vo at x vot 1 2 at 2 x vf t 1 2 at 2Worksheet: Chapters 2 and 3x1 vf 2vo tv2 f2 vo 2axAssume:* standard gravitational acceleration of 9.81 m/s2 [D] on the Earth * air resistance is negligible.The spac