College Physics: A Strategic Approach (3rd Edition)
3rd Edition
ISBN: 9780321879721
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter 2, Problem 30P
Light-rail passenger trains that provide transportation within and between cities speed up and slow down with a nearly constant (and quite modest) acceleration. A train travels through a congested part of town at 5.0 m/s. Once free of this area, it speeds up to 12 m/s in 8.0 s. At the edge of town, the driver again accelerates, with the same acceleration, for another 16 s to reach a higher cruising speed. What is the final speed?
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Cheetahs have the highest top speed of any land animal, but they usually fail in their attempts to catch their prey because their endurance is limited. They can maintain their maximum speed of 30 m/s for only about 15 s before they need to stop.Thomson’s gazelles, their preferred prey, have a lower top speed than cheetahs, but they can maintain this speed for a few minutes. When a cheetah goes after a gazelle, success or failure is a simple matter of kinematics: Is the cheetah’s high speed enough to allow it to reach its prey before the cheetah runs out of steam?The following problem uses realistic data for such a chase.A cheetah has spotted a gazelle. The cheetah leaps into action, reaching its top speed of 30 m/s in a few seconds. At this instant, the gazelle, 160 m from the running cheetah, notices the danger and heads directly away. The gazelle accelerates at 4.5 m/s2 for 6.0 s, then continues running at a constant speed. After reaching its maximum speed, the cheetah can continue…
Traumatic brain injury such as concussion results when the head undergoes a very large acceleration. Generally, an acceleration less than 800 m/s2 lasting for any length of time will not cause injury, whereas an acceleration greater than 1000 m/s2 lasting for at least 1 ms will cause injury. Suppose a small child rolls off a bed that is 0.41 m above the floor. If the floor is hardwood, the child's head is brought to rest in approximately 1.9 mm. If the floor is carpeted, this stopping distance is increased to about 1.0 cm. Calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury. Assume that the child remains horizontal during the fall to the floor. Note that a more complicated fall could result in a head velocity greater or less than the speed you calculate.
Hardwood floor magnitude
m/s2
duration
ms
Carpeted floor magnitude
m/s2
duration
ms
Chapter 2 Solutions
College Physics: A Strategic Approach (3rd Edition)
Ch. 2 - A person gets in an elevator on the ground floor...Ch. 2 - a. Give an example of a vertical motion with a...Ch. 2 - Figure Q2.3 shows growth rings in the trunk of a...Ch. 2 - Sketch a velocity-versus-time graph for a rock...Ch. 2 - You are driving down the road at a constant speed....Ch. 2 - A car is traveling north. Can its acceleration...Ch. 2 - A ball is thrown straight up into the air. At each...Ch. 2 - A rock is thrown (not dropped) straight down from...Ch. 2 - Figure Q2.10 shows an object's...Ch. 2 - Figure Q2.11 shows the position graph for an...
Ch. 2 - Figure Q2.12 shows the position-versus-time graphs...Ch. 2 - Figure Q2.13 shows a position-versus-time graph....Ch. 2 - Figure Q2.14 is the velocity-versus-time graph for...Ch. 2 - Figure Q2.15 shows the position graph of a car...Ch. 2 - Figure Q2.16 shows the position graph of a car...Ch. 2 - Figure Q2.17 shows an object's...Ch. 2 - The following options describe the motion of four...Ch. 2 - A car is traveling at Vx = 20 m/s. The driver...Ch. 2 - Velocity-versus-time graphs for three drag racers...Ch. 2 - Which of the three drag racers in Question 20 had...Ch. 2 - Chris is holding two softballs while standing on a...Ch. 2 - Suppose a plane accelerates from rest for 30 s,...Ch. 2 - Figure Q2.24 shows a motion diagram with the clock...Ch. 2 - A car can go from 0 to 60 mph in 7.0 s. Assuming...Ch. 2 - A car can go from 0 to 60 mph in 12 s. A second...Ch. 2 - Figure P2.1 shows a motion diagram of a car...Ch. 2 - For each motion diagram in Figure P2.2, determine...Ch. 2 - The position graph of Figure P2.3 shows a dog...Ch. 2 - A rural mail carrier is driving slowly, putting...Ch. 2 - For the velocity-versus-time graph of Figure P2.5:...Ch. 2 - A bicyclist has the position-versus-time graph...Ch. 2 - In major league baseball, the pitcher's mound is...Ch. 2 - In college softball, the distance from the...Ch. 2 - Alan leaves Los Angeles at 8:00am to drive to San...Ch. 2 - Richard is driving home to visit his parents. 125...Ch. 2 - In a 5.00 km race, one runner runs at a steady...Ch. 2 - In an 8.00 km race, one runner runs at a steady...Ch. 2 - A car moves with constant velocity along a...Ch. 2 - While running a marathon, a long-distance runner...Ch. 2 - Figure P2.1 shows the position graph of a...Ch. 2 - A somewhat idealized graph of the speed of the...Ch. 2 - A car starts from Xi = 10 m at ti = 0 s and moves...Ch. 2 - Figure P2.18 shows a graph of actual...Ch. 2 - Figure P2.19 shows the velocity graph of a...Ch. 2 - We set the origin of a coordinate system so that...Ch. 2 - For each motion diagram shown earlier in Figure...Ch. 2 - Figure P2.16 showed data for the speed of blood in...Ch. 2 - Figure P2.23 is a somewhat simplified velocity...Ch. 2 - Small frogs that are good jumpers are capable of...Ch. 2 - A Thomson's gazelle can reach a speed of 13 m/s in...Ch. 2 - When striking, the pike, a predatory fish, can...Ch. 2 - a. What constant acceleration, in SI units, must a...Ch. 2 - When jumping, a flea rapidly extends its legs,...Ch. 2 - A car traveling at speed v takes distance d to...Ch. 2 - Light-rail passenger trains that provide...Ch. 2 - A cross-country skier is skiing along at a zippy...Ch. 2 - A small propeller airplane can comfortably achieve...Ch. 2 - Formula One racers speed up much more quickly than...Ch. 2 - Figure P2.34 shows a velocity-versus-time graph...Ch. 2 - A driver has a reaction time of 0.50 s, and the...Ch. 2 - Chameleons catch insects with their tongues, which...Ch. 2 - You're driving down the highway late one night at...Ch. 2 - A light-rail train going from one station to the...Ch. 2 - A car is traveling at a steady 80 km/h in a 50...Ch. 2 - When a jet lands on an aircraft carrier, a hook on...Ch. 2 - A simple model for a person running the 100m dash...Ch. 2 - Ball bearings can be made by letting spherical...Ch. 2 - Here's an interesting challenge you can give to a...Ch. 2 - In the preceding problem we saw that a person's...Ch. 2 - A gannet is a seabird that fishes by diving from a...Ch. 2 - A student at the top of a building of height h...Ch. 2 - Excellent human jumpers can leap straight up to a...Ch. 2 - A football is kicked straight up into the air; it...Ch. 2 - In an action movie, the villain is rescued from...Ch. 2 - Spud Webb was, at 5 ft 8 in, one of the shortest...Ch. 2 - A rock climber stands on top of a 50-m-high cliff...Ch. 2 - Actual velocity data for a lion pursuing prey are...Ch. 2 - A truck driver has a shipment of apples to deliver...Ch. 2 - When you sneeze, the air in your lungs accelerates...Ch. 2 - Figure P2.55 shows the motion diagram, made at two...Ch. 2 - Julie drives 100 mi to Grandmother's house. On the...Ch. 2 - The takeoff speed for an Airbus A320 jetliner is...Ch. 2 - Does a real automobile have constant acceleration?...Ch. 2 - People hoping to travel to other worlds are faced...Ch. 2 - You are driving to the grocery store at 20 m/s....Ch. 2 - When you blink your eye, the upper lid goes from...Ch. 2 - A bush baby, an African primate, is capable of a...Ch. 2 - When jumping, a flea reaches a takeoff speed of...Ch. 2 - Certain insects can achieve seemingly impossible...Ch. 2 - A student standing on the ground throws a ball...Ch. 2 - A rock is tossed straight up with a speed of 20...Ch. 2 - A 200 kg weather rocket is loaded with 100 kg of...Ch. 2 - A hotel elevator ascends 200m with a maximum speed...Ch. 2 - A car starts from rest at a stop sign. It...Ch. 2 - A toy train is pushed forward and released at xi =...Ch. 2 - Heather and Jerry are standing on a bridge 50 m...Ch. 2 - A Thomson's gazelle can run at very high speeds,...Ch. 2 - We've seen that a man's higher initial...Ch. 2 - A pole-vaulter is nearly motionless as he clears...Ch. 2 - A Porsche challenges a Honda to a 400 m race....Ch. 2 - The minimum stopping distance for a car traveling...Ch. 2 - A rocket is launched straight up with constant...Ch. 2 - Free Fall on Different Worlds Objects in free fall...Ch. 2 - Free Fall on Different Worlds Objects in free fall...Ch. 2 - Free Fall on Different Worlds Objects in free fall...
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- Traumatic brain injury such as concussion results when the head undergoes a very large acceleration. Generally, an acceleration less than 800 m/s2 lasting for any length of time will not cause injury, whereas an acceleration greater than 1,000 m/s2 lasting for at least 1 ms will cause injury. Suppose a small child rolls off a bed that is 0.59 m above the floor. If the floor is hardwood, the child's head is brought to rest in approximately 1.9 mm. If the floor is carpeted, this stopping distance is increased to about 1.3 cm. Calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury. Assume the child remains horizontal during the fall to the floor. Note that a more complicated fall could result in a head velocity greater or less than the speed you calculate. hardwood floor magnitude m/s2 hardwood floor duration ms carpeted floor magnitude m/s2 carpeted floor duration msarrow_forwardTraumatic brain injury such as concussion results when the head undergoes a very large acceleration. Generally, an acceleration less than 800 m/s² lasting for any length of time will not cause injury, whereas an acceleration greater than 1,000 m/s² lasting for at least 1 ms will cause injury. Suppose a small child rolls off a bed that is 0.56 m above the floor. If the floor is hardwood, the child's head is brought to rest in approximately 1.7 mm. If the floor is carpeted, this stopping distance is increased to about 1.2 cm. Calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury. Assume the child remains horizont during the fall to the floor. Note that a more complicated fall could result in a head velocity greater or less than the speed you calculate. hardwood floor magnitude m/s² hardwood floor duration ms 2 m/s2 carpeted floor magnitude carpeted floor duration Need Help? Read It msarrow_forwardTraumatic brain injury such as concussion results when the head undergoes a very large acceleration. Generally, an acceleration less than 800 m/s2 lasting for any length of time will not cause injury, whereas an acceleration greater than 1,000 m/s2 lasting for at least 1 ms will cause injury. Suppose a small child rolls off a bed that is 0.41 m above the floor. If the floor is hardwood, the child's head is brought to rest in approximately 1.7 mm. If the floor is carpeted, this stopping distance is increased to about 1.4 cm. Calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury. Assume the child remains horizontal during the fall to the floor. Note that a more complicated fall could result in a head velocity greater or less than the speed you calculate. find: hardwood floor magnitude hardwood floor duration carpeted floor magnitude carpeted floor durationarrow_forward
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