Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 4, Problem 50PQ
(a)
To determine
Find the velocity of the speeder at
(b)
To determine
In the trooper’s reference frame, the speeder’s car is speeding up, slowing down or moving with constant speed at
(c)
To determine
Will the distance between the cars be great, lesser or equal to
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Chapter 4 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 4.1 - CASE STUDY How Many Dimensions? In each case,...Ch. 4.2 - Based on the particles motion diagram in Figure...Ch. 4.3 - Prob. 4.3CECh. 4.5 - Prob. 4.4CECh. 4.5 - Prob. 4.5CECh. 4.6 - A particle travels at a uniform linear speed...Ch. 4.8 - Prob. 4.7CECh. 4 - Prob. 1PQCh. 4 - In each case, determine whether the object is...Ch. 4 - CASE STUDY Imagine an indoor tennis court on a...
Ch. 4 - A basketball player dribbles the ball while...Ch. 4 - A motion diagram of a bouncing ball is shown in...Ch. 4 - Prob. 6PQCh. 4 - Prob. 7PQCh. 4 - Figure P4.8 shows the motion diagram of two balls,...Ch. 4 - Prob. 9PQCh. 4 - Prob. 10PQCh. 4 - Prob. 11PQCh. 4 - If a particles speed is always increasing, what...Ch. 4 - Prob. 13PQCh. 4 - An aircraft flies at constant altitude (with...Ch. 4 - A glider is initially moving at a constant height...Ch. 4 - If the vector components of the position of a...Ch. 4 - A If the vector components of a particles position...Ch. 4 - Prob. 18PQCh. 4 - A The spiral is an example of a mathematical form...Ch. 4 - A circus performer stands on a platform and throws...Ch. 4 - Anthony carelessly rolls his toy car off a...Ch. 4 - A physics student stands on a second-story balcony...Ch. 4 - During the battle of Bunker Hill, Colonel William...Ch. 4 - A During the battle of Bunker Hill, Colonel...Ch. 4 - A softball is hit with an initial velocity of 29.0...Ch. 4 - Figure P4.8 shows the motion diagram of two balls....Ch. 4 - A circus performer throws an apple toward a hoop...Ch. 4 - An arrow is fired with initial velocity v0 at an...Ch. 4 - A rock is thrown horizontally off a 56.0-m-high...Ch. 4 - A projectile is launched up and to the right over...Ch. 4 - Sienna tosses a ball from the window of her...Ch. 4 - Some cats can be trained to jump from one location...Ch. 4 - Dock diving is a great form of athletic...Ch. 4 - A graduate student discovers that the only...Ch. 4 - The bola is a traditional weapon used for tripping...Ch. 4 - In three different driving tests, a car moves with...Ch. 4 - A child swings a tennis ball attached to a 0.750-m...Ch. 4 - A Two particles A and B move at a constant speed...Ch. 4 - Prob. 39PQCh. 4 - Prob. 40PQCh. 4 - Prob. 41PQCh. 4 - A pendulum constructed with a bowling ball at the...Ch. 4 - Prob. 43PQCh. 4 - Prob. 44PQCh. 4 - Pete and Sue, two reckless teenage drivers, are...Ch. 4 - Prob. 46PQCh. 4 - Prob. 47PQCh. 4 - A brother and sister, Alan and Beth, have just...Ch. 4 - A man paddles a canoe in a long, straight section...Ch. 4 - Prob. 50PQCh. 4 - Prob. 51PQCh. 4 - Prob. 52PQCh. 4 - Suppose at one point along the Nile River a...Ch. 4 - Prob. 54PQCh. 4 - Prob. 55PQCh. 4 - Prob. 56PQCh. 4 - Prob. 57PQCh. 4 - Two bicyclists in a sprint race begin from rest...Ch. 4 - A particle has a nonzero acceleration and a...Ch. 4 - A golfer hits his approach shot at an angle of...Ch. 4 - You are watching a friend practice archery when he...Ch. 4 - Prob. 62PQCh. 4 - Prob. 63PQCh. 4 - David Beckham has lined up for one of his famous...Ch. 4 - Prob. 65PQCh. 4 - Prob. 66PQCh. 4 - Prob. 67PQCh. 4 - Frequently, a weapon must be fired at a target...Ch. 4 - Prob. 69PQCh. 4 - Prob. 70PQCh. 4 - Prob. 71PQCh. 4 - An observer sitting on a park bench watches a...Ch. 4 - Prob. 73PQCh. 4 - Prob. 74PQCh. 4 - Prob. 75PQCh. 4 - Prob. 76PQCh. 4 - Prob. 77PQCh. 4 - Prob. 78PQCh. 4 - A circus cat has been trained to leap off a...Ch. 4 - Prob. 80PQCh. 4 - An experimentalist in a laboratory finds that a...Ch. 4 - Prob. 82PQ
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On a one lane road, a person driving a car at v1 = 58 mi/h suddenly notices a truck 1.1 mi in front of him. That truck is moving in the same direction at v2 = 35 mi/h. In order to avoid a collision, the person has to reduce the speed of his car to v2 during time interval Δt. The smallest magnitude of acceleration required for the car to avoid a collision is a. During this problem, assume the direction of motion of the car is the positive direction.
1. Use the expressions you entered in parts (c) and (f) and enter an expression for a in terms of d, v1, and v2.
a = ( v2 - v1 )/Δt
Δt = ( 2 ) ( d )/( v1 - v2 )
2. Calculate the value of a in meters per second squared.
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On a one lane road, a person driving a car at v1 = 76 mi/h suddenly notices a truck d = 1.9 mi in front of him. That truck is moving in the same direction at v2 = 45 mi/h. In order to avoid a collision, the person has to reduce the speed of his car to v2 during time interval Δt. The smallest acceleration required for the car to avoid a collision is a. During this problem, assume the direction of motion of the car is the positive direction. Refer to the figure below.
a)Enter an expression, in terms of defined quantities, for the distance, Δx2, traveled by the truck during the time interval Δt.
b)Enter an expression for the distance, Δx1, traveled by the car in terms of v1, v2 and a.
c)Enter an expression for the acceleration of the car, a, in terms of v1, v2, and Δt.
d)Enter an expression for Δx1 in terms of Δx2 and d when the driver just barely avoids collision.
e)Enter an expression for Δx1 in terms of v1, v2, and Δt.
f)Enter an expression for Δt in terms of d, v1, and v2.
g)…
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As an airplane is taking off at an airport its position is closely monitored by radar. The following three positions are measured with their corresponding times:
x1 = 145.50 m at t1 = 3.10 s,
x2 = 185.00 m at t2 = 3.60 s,
x3 = 229.50 m at t3 = 4.10 s.
What is the acceleration of the airplane at t2 = 3.60 s? (Assume that the acceleration of the airplane is constant.) What is the average velocity of the airplane during the first time interval? What is the average velocity of the airplane during the second time interval?
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The catapult of the aircraft carrier USS Abraham Lincoln accelerates an F/A-18 Hornet jet fighter from rest to takeoff speed of 173 mi/h in a distance of 307 ft. How much time does it take for the fighter to accelerate to takeoff speed?
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A jet plane comes in for a landing with a speed of 100m/s, and its acceleration can have a maximum magnitude of 5.00m/s2 as it comes to rest from the instant the plane touches the runway, what is the minimum time interval needed before it can come to rest?
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A particle that moves along the x-axis has its position given by x=54t – 2t^3 m. At the instant t = 3.0 s, the particle speed is zero. Which of the following statements is correct?
a)The particle remains at rest after t = 3.0 s
b)The particle does not accelerate any more after t s 3.0 s
c)The particle can be in positions x < 0 m only when t < 0 s
d)All of the above are correct
e)None of the above is correct
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A sperm whale can accelerate at about 0.140 m/s^2 when swimming on the surface of the ocean. How far will it travel if it starts at a speed of 1.20 m/s and accelerates to a speed of 2.5 m/s? Assume the whale travels in a straight line.
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A graph of position vs. time for a certain particle moving along the x-axis is shown. Find the average velocity in the time intervals from a) 0 to 2.00 s, b) 0 to 4.00 s, c) 2.00 s to 4.00 s, d) 4.00 to 7.00 s, and e) 0 to 8.00 s.
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A fish is swimming north at 1.2 m/s. It then undergoes an average acceleration of 8.3 m/s^2 51 degrees south of west for 0.25 s. What is the magnitude of the fish’s final velocity . Please include a drawing
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Runner A is initially 6.0 mi west of a flagpole and is running with a constant velocity of 7.0 mi/h due east. Runner B is initially 5.0 mi east of the flagpole and is running with a constant velocity of 4.0 mi/h due west. How far are the runners from the flagpole when they meet?
The answer has to be in miles.
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A driver, driving at a constant speed of 30m/s in a 50 mph zone, is unaware that he is being observed by an approaching police car (coming toward him from the front). At time t = 0, they are 800m apart and the police car has an approach speed of 40 m/s. When will the police officer catch up with the motorist?
a) 80 s
b) 68.6 s
c) 11.4 s
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A group of students celebrate their first year of medical school with a hot-air balloon ride, which is rising upward with a constant speed of 3.0 m/s. When the balloon is 3.50 m above the ground, one of the students who is taking a selfie with the other students accidentally drops her smart phone over the side of the balloon (fortunately with a OtterBox case). With what speed would the phone hit the ground in m/s? Note that the displacement of the phone dropping 3.50 m would be - 3.50 m.
For the same situation as Question 9, how long in seconds would the smart phone be in the air before it hits the ground?
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Position/Velocity/Acceleration Part 1: Definitions; Author: Professor Dave explains;https://www.youtube.com/watch?v=4dCrkp8qgLU;License: Standard YouTube License, CC-BY