Problem 1CQ: a. Can a vector have nonzero magnitude if a component is zero? If no, why not? If yes, give an... Problem 2CQ: Is it possible to add a scalar to a vector? If so, demonstrate. If not, explain why not. Problem 3CQ: Suppose two vectors have unequal magnitudes. Can their sum be 0? Explain. Problem 4CQ: Suppose C=A+B a. Under what circumstances does C = A+ B? b. Could C = A B? If so, how? If not, why... Problem 5CQ: For a projectile, which of the following quantities are constant during the flight: x, y, Vx, Vy, V,... Problem 6CQ: A baseball player throws a ball at a 40 angle to the ground. The ball lands on the ground some... Problem 7CQ: An athlete performing the long jump tries to achieve the maximum distance from the point of takeoff... Problem 8CQ: A person trying to throw a ball as far as possible will run forward during the throw. Explain why... Problem 9CQ: If you kick a football, at what angle to the ground should you kick the ball for the maximum... Problem 10CQ: A passenger on a jet airplane claims to be able to walk at a speed in excess of 500 mph. Can this be... Problem 11CQ: If you go to a ski area, youll likely find that the beginners slope has the smallest angle. Use the... Problem 12CQ: In an amusement-park ride, cars rolling along at high speed suddenly head up a long, straight ramp.... Problem 13CQ: There are competitions in which pilots fly small planes low over the ground and drop weights, trying... Problem 14CQ: A cyclist goes around a level, circular track at constant speed. Do you agree or disagree with the... Problem 15CQ: You are cycling around a circular track at a constant speed. Does the magnitude of your acceleration... Problem 16CQ: An airplane has been directed to fly in a clockwise circle, as seen from above, at constant speed... Problem 17CQ: When you go around a corner in your car, your car follows a path that is a segment of a circle. To... Problem 18MCQ: Which combination of the vectors shown in Figure Q3 .18 has the largest magnitude? Figure Q3.18 A.... Problem 19MCQ: Two vectors appear as in Figure Q3.19. Which combination points directly to the left? Figure Q3.19... Problem 20MCQ: The gas pedal in a car is sometimes referred to as the accelerator. Which other controls on the... Problem 21MCQ: A car travels at constant speed along the curved path shown from above in Figure Q3.21. Five... Problem 22MCQ: A ball is fired from a cannon at point 1 and follows the trajectory shown in Figure Q3.22. Air... Problem 23MCQ: A ball thrown at an initial angle of 37.0 and initial velocity of 23.0 m/s reaches a maximum height... Problem 24MCQ: A cannon elevated at 40 is fired at a wall 300 m away on level ground, as shown in Figure Q3.24. The... Problem 25MCQ: A car drives horizontally off a 73-m-high cliff at a speed of 27 m/s. Ignore air resistance. a. How... Problem 26MCQ: A football is kicked at an angle of 30 with a speed of 20 m/s. To the nearest second, how long will... Problem 27MCQ: A football is kicked at an angle of 30 with a speed of 20 m/s. To the nearest 5 m, how far will the... Problem 28MCQ: Riders on a Ferris wheel move in a circle with a speed of 4.0 m/s. As they go around, they... Problem 29MCQ: Formula One race cars are capable of remarkable accelerations when speeding up, slowing down, and... Problem 3P: A car goes around a corner in a circular arc at constant speed. Draw a motion diagram including... Problem 5P: A position vector with magnitude 10 m points to the right and up. Its x-component is 6.0 m. What is... Problem 6P: A velocity vector 40 above the positive x-axis has a y-component of 10 m/s. What is the value of its... Problem 7P: Jack and Jill ran up the hill at 3.0 m/s. The horizontal component of Jills velocity vector was 2.5... Problem 8P: Josh is climbing up a steep 34 slope, moving at a steady 0.75 m/s along the ground. How many meters... Problem 9P: A cannon tilted upward at 30 fires a cannonball with a speed of 100 m/s. At that instant, what is... Problem 10P: a. What are the x- and y-components of vector E of Figure P3.10 in terms of the angle and the... Problem 11P: Draw each of the following vectors, then find its x- and y-components. a. d = (100m, 45 below +... Problem 12P: Draw each of the following vectors, then find its x- and y-components. a. d = (2.0 km, 30 left of... Problem 13P: Each of the following vectors is given in terms of its x- and y-components. Draw the vector, label... Problem 14P: Each of the following vectors is given in terms of its x- and y-components. Draw the vector, label... Problem 15P: A wildlife researcher is tracking a flock of geese. The geese fly 4.0 km due west, then turn toward... Problem 16P: You begin sliding down a 15 ski slope. Ignoring friction and air resistance, how fast will you be... Problem 17P: A car traveling at 30 m/s runs out of gas while traveling up a 5.0 slope. How far will it coast... Problem 18P: In the Soapbox Derby, young participants build non-motorized cars with very low-friction wheels.... Problem 19P: A piano has been pushed to the top of the ramp at the back of a moving van. The workers think it is... Problem 20P: A car turns into a driveway that slopes upward at a 9.0 angle. The car is moving at 6.5 m/s. If the... Problem 21P: Anita is running to the right at 5 m/s, as shown in Figure P3.21. Balls 1 and 2 are thrown toward... Problem 22P: An airplane cruises at 880 km/h relative to the air. It is flying from Denver, Colorado, due west to... Problem 23P: Anita is running to the right at 5 m/s, as shown in Figure P3.23. Balls 1 and 2 are thrown toward... Problem 24P: Raindrops are falling straight down at 12 m/s when suddenly the wind starts blowing horizontally at... Problem 25P: A boat takes 3.0 h to travel 30 km down a river, then 5.0 h to return. How fast is the river... Problem 26P: Two children who are bored while waiting for their flight at the airport decide to race from one end... Problem 27P: A ball is thrown horizontally from a 20-m-high building with a speed of 5.0 m/s. a. Make a sketch of... Problem 28P: A ball with a horizontal speed of 1.25 m/s rolls off a bench 1.00 m above the floor. a. How long... Problem 29P: A pipe discharges storm water into a creek. Water flows horizontally out of the pipe at 1.5 m/s, and... Problem 30P: A pipe discharges storm water into a creek. Water flows horizontally out of the pipe at 1.5 m/s, and... Problem 31P: Two spheres are both launched horizontally from a 1.0-m-high table. Sphere A is launched with an... Problem 32P: A rifle is aimed horizontally at a target 50 m away. The bullet hits the target 2.0 cm below the aim... Problem 33P: A gray kangaroo can bound across a flat stretch of ground with each jump carrying it 10 m from the... Problem 34P: On the Apollo 14 mission to the moon, astronaut Alan Shepard hit a golf ball with a golf club... Problem 35P: A sprinkler mounted on the ground sends out a jet of water at a 30 angle to the horizontal. The... Problem 36P: A good quarterback can throw a football at 27 m/s (about 60 mph). If we assume that the ball is... Problem 37P: Racing greyhounds are capable of rounding corners at very high speeds. A typical greyhound track has... Problem 38P: To withstand g-forces of up to 10 gs, caused by suddenly pulling out of a steep dive, fighter jet... Problem 39P: The Scion iQ is a compact car that is capable of very tight turnsit can spin around in a circle 8.0... Problem 40P: In a roundabout (or traffic circle), cars go around a 25-m-diameter circle. If a cars tires will... Problem 41P: A particle rotates in a circle with centripetal acceleration a = 8.0 m/s2 What is a if a. The radius... Problem 42P: Entrance and exit ramps for freeways are often circular stretches of road. As you go around one at a... Problem 43P: A peregrine falcon in a tight, circular turn can attain a centripetal acceleration 1.5 times the... Problem 44GP: A particle rotates in a circle with centripetal acceleration a = 8.0 m/s2 What is a if a. The radius... Problem 45GP: Suppose D=AB where vector A has components Ax = 5, Ay = 2 and vector B has components Bx = 3, By =... Problem 46GP: Suppose E = 2A+3B where vector A has components Ax = 5, Ay = 2 and vector B has components Bx = 3,... Problem 47GP: For the three vectors shown in Figure P3.47, the vector sum D=A+B+C has components Dx = 2 and Dy =... Problem 48GP Problem 49GP: A typical set of stairs is angled at 38. You climb a set of stairs at a speed of 3.5 m/s. a. How... Problem 50GP: A pilot in a small plane encounters shifting winds. He flies 26.0 km northeast, then 45.0 km due... Problem 51GP: A small plane, 100 km due south of the equator, is flying at 150 km/h with respect to the ground... Problem 53GP: A skier gliding across the snow at 3.0 m/s suddenly starts down a 10 incline, reaching a speed of 15... Problem 54GP: A block slides along the frictionless track shown in Figure P3.54 with an initial speed of 5.0 m/s.... Problem 55GP: When the moving sidewalk at the airport is broken, as it often seems to be, it takes you 50 s to... Problem 56GP: Ships A and B leave port together. For the next two hours, ship A travels at 20 mph in a direction... Problem 57GP: A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by... Problem 58GP: A kayaker needs to paddle north across a 100-m-wide harbor. The tide is going out, creating a tidal... Problem 59GP: A plane has an airspeed of 200 mph. The pilot wishes to reach a destination 600 mi due east, but a... Problem 60GP: The Gulf Stream off the east coast of the United States can flow at a rapid 3.6 m/s to the north. A... Problem 61GP: A physics student on Planet Exidor throws a ball, and it follows the parabolic trajectory shown in... Problem 62GP: A ball thrown horizontally at 25 m/s travels a horizontal distance of 50 m before hitting the... Problem 63GP: In 1780, in what is now referred to as Bradys Leap, Captain Sam Brady of the U.S. Continental Army... Problem 64GP: The longest recorded pass in an NFL game traveled 83 yards in the air from the quarterback to the... Problem 65GP: A spring-loaded gun, fired vertically, shoots a marble 6.0 m straight up in the air. What is the... Problem 66GP: Small-plane pilots regularly compete in message drop competitions, dropping heavy weights (for which... Problem 67GP: In a shot-put event, an athlete throws the shot with an initial speed of 12.0 m/s at a 40.0 angle... Problem 68GP: Trained dolphins are capable of a vertical leap of 7.0 m straight up from the surface of the wateran... Problem 69GP: A tennis player hits a ball 2.0 m above the ground. The ball leaves his racquet with a speed of 20... Problem 70GP: The shot put is a track-and-field event in which athletes throw a heavy ballthe shotas far as... Problem 71GP: Water at the top of Horseshoe Falls (part of Niagara Falls) is moving horizontally at 9.0 m/s as it... Problem 72GP: A supply plane needs to drop a package of food to scientists working on a glacier in Greenland. The... Problem 73GP: A child slides down a frictionless 3.0-m-long playground slide tilted upward at an angle of 40. At... Problem 74GP: A sports car is advertised as capable of reaching 60 mph in 5 seconds flat, cornering at 0.85g, and... Problem 75GP: A Ford Mustang can accelerate from 0 to 60 mph in a time of 5.6 s. A Mini Cooper isnt capable of... Problem 76GP: The Screaming Swing is a carnival ride that isnot surprisinglya giant swing. Its actually two swings... Problem 77GP: On an otherwise straight stretch of road near Moffat, Colorado, the road suddenly turns. This bend... Problem 78MSPP: Riding the Water Slide A rider on a water slide goes through three different kinds of motion, as... Problem 79MSPP: Riding the Water Slide A rider on a water slide goes through three different kinds of motion, as... Problem 80MSPP: Riding the Water Slide A rider on a water slide goes through three different kinds of motion, as... Problem 81MSPP: Riding the Water Slide A rider on a water slide goes through three different kinds of motion, as... Problem 82MSPP: Riding the Water Slide A rider on a water slide goes through three different kinds of motion, as... format_list_bulleted