College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Chapter 2, Problem 2TP
To determine
The most sensible way to set the coordinate system by the student.
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A student is trying to determine the acceleration of a feather as she drops it to the ground. If the student is looking to achieve a positive velocity and positive acceleration, what is the most sensible way to set up her coordinate system?
a. Her hand should be a coordinate of zero and the upward direction should be considered positive.
b. Her hand should be a coordinate of zero and the downward direction should be considered positive.
c. The floor should be a coordinate of zero and the upward direction should be considered positive.
d. The floor should be a coordinate of zero and the downward direction should be considered positive.
Three-dimensional motion Consider the motion of the following objects. Assume the x-axis points east, the y-axis points north, the positive z-axis is vertical and opposite g, the ground is horizontal, and only the gravitational force acts on the object unless otherwise stated.a. Find the velocity and position vectors, for t ≥ 0.b. Make a sketch of the trajectory.c. Determine the time of flight and range of the object.d. Determine the maximum height of the object.
A golf ball is hit east down a fairway with an initial velocity of⟨50, 0, 30⟩ m/s. A crosswind blowing to the south produces anacceleration of the ball of -0.8 m/s2.
A plane first travels in the East direction at a speed of 500 km / h for 15 minutes. Later, it turns its route to the South and travels at 90 km / hour for 30 minutes.
a. Draw the vector diagram of the speed of the airplane.
b. Find the magnitude and direction (by angle) of the average velocity of the airplane during this time.
c. Find out how far the plane has traveled over the total time.
Chapter 2 Solutions
College Physics
Ch. 2 - Give an example in which there are clear...Ch. 2 - Under what circumstances does distance traveled...Ch. 2 - Bacteria move back and f01th by using their...Ch. 2 - A student writes, "A bird that is diving for prey...Ch. 2 - What is the speed of the bird in Exercise 2.4?Ch. 2 - Acceleration is the change in velocity over time....Ch. 2 - A weather forecast states that the temperature is...Ch. 2 - Give an example (but not one from the text) of a...Ch. 2 - There is a distinction between average speed and...Ch. 2 - Does a car's odometer measure position or...
Ch. 2 - If you divide the total distance traveled on a car...Ch. 2 - How are instantaneous velocity and instantaneous...Ch. 2 - Is it possible for speed to be constant while...Ch. 2 - Is it possible for velocity to be constant while...Ch. 2 - Give an example in which velocity is zero yet...Ch. 2 - If a subway train is moving to the left (has a...Ch. 2 - Plus and minus signs are used in one-dimensional...Ch. 2 - What information do you need in order to choose...Ch. 2 - What is the last thing you should do when solving...Ch. 2 - What is the acceleration of a rock thrown straight...Ch. 2 - An object that is thrown straight up falls back to...Ch. 2 - Prob. 22CQCh. 2 - If an object is thrown straight up and air...Ch. 2 - The severity of a fall depends on your speed when...Ch. 2 - How many times higher could an astronaut jump on...Ch. 2 - Prob. 26CQCh. 2 - Prob. 27CQCh. 2 - Prob. 28CQCh. 2 - Prob. 29CQCh. 2 - Prob. 30CQCh. 2 - A cylinder is given a push and then rolls up an...Ch. 2 - Prob. 1PECh. 2 - Prob. 2PECh. 2 - Prob. 3PECh. 2 - Prob. 4PECh. 2 - (a) Calculate Earth's average speed relative to...Ch. 2 - A helicopter blade spins at exactly 100...Ch. 2 - The North American and European continents are...Ch. 2 - Land west of the San Andreas fault in southern...Ch. 2 - On May 26, 1934, a streamlined, stainless steel...Ch. 2 - Tidal friction is slowing the rotation of the...Ch. 2 - A student drove to the university from her home...Ch. 2 - The speed of propagation of the action potential...Ch. 2 - Conversations with astronauts on the lunar surface...Ch. 2 - A football quarterback runs 15.0 m straight down...Ch. 2 - The planetary model of the atom pictures electrons...Ch. 2 - A cheetah can accelerate from rest to a speed of...Ch. 2 - Professional Application Dr. John Paul Stapp was...Ch. 2 - A commuter backs her car out of her garage with an...Ch. 2 - Assume that an intercontinental ballistic missile...Ch. 2 - An Olympic-class sprinter starts a race with an...Ch. 2 - A well-thrown ball is caught in a well-padded...Ch. 2 - A bullet in a gun is accelerated from the firing...Ch. 2 - (a) A light-rail commuter train accelerates at a...Ch. 2 - While entering a freeway, a car accelerates from...Ch. 2 - At the end of a race, a runner decelerates from a...Ch. 2 - Professional Application: Blood is accelerated...Ch. 2 - In a slap shot, a hockey player accelerates the...Ch. 2 - A powerful motorcycle can accelerate from rest to...Ch. 2 - Freight trains can produce only relatively small...Ch. 2 - A fireworks shell is accelerated from rest to a...Ch. 2 - A swan on a lake gets airborne by flapping its...Ch. 2 - Professional Application: A woodpecker's brain is...Ch. 2 - An unwary football player collides with a padded...Ch. 2 - In World War II, there were several reported cases...Ch. 2 - Consider a grey squirrel falling out of a tree to...Ch. 2 - An express train passes through a station. It...Ch. 2 - Dragsters can actually reach a top speed of 145...Ch. 2 - A bicycle racer sprints at the end of a race to...Ch. 2 - In 1967, New Zealander Burt Munro set the world...Ch. 2 - (a) A world record was set for the men's 100-m...Ch. 2 - Calculate the displacement and velocity at times...Ch. 2 - Calculate the displacement and velocity at times...Ch. 2 - A basketball referee tosses the ball straight up...Ch. 2 - A rescue helicopter is hovering over a person...Ch. 2 - A dolphin in an aquatic show jumps straight up out...Ch. 2 - A swimmer bounces straight up from a diving board...Ch. 2 - (a) Calculate the height of a cliff if it takes...Ch. 2 - A very strong, but inept, shot putter puts the...Ch. 2 - You throw a ball straight up with an initial...Ch. 2 - A kangaroo can jump over an object 2.50 m high....Ch. 2 - Standing at the base of one of the cliffs of Mt....Ch. 2 - An object is dropped from a height of 75.0 m above...Ch. 2 - There is a 250-m-high cliff at Half Dome in...Ch. 2 - Prob. 54PECh. 2 - Suppose you drop a rock into a dark well and,...Ch. 2 - A steel ball is dropped onto a hard floor from a...Ch. 2 - A coin is dropped from a hot-air balloon that is...Ch. 2 - A soft tennis ball is dropped onto a hard floor...Ch. 2 - Prob. 59PECh. 2 - Prob. 60PECh. 2 - Prob. 61PECh. 2 - Prob. 62PECh. 2 - Prob. 63PECh. 2 - Prob. 64PECh. 2 - Prob. 65PECh. 2 - Prob. 66PECh. 2 - Prob. 1TPCh. 2 - Prob. 2TPCh. 2 - Prob. 3TPCh. 2 - Prob. 4TPCh. 2 - Prob. 5TPCh. 2 - Prob. 6TPCh. 2 - Prob. 7TP
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- A train leaving Albuquerque travels 293 miles, due east, to Amarillo. The train spends a couple of days at the station in Amarillo and then heads back west 107 miles where it stops in Tucumcari. Suppose the positive x direction points to the east and Albuquerque is at the origin of this axis. a. What is the total distance traveled by the train from Albuquerque to Tucumcari? b. What is the displacement of the train for the entire journey? Give both answers in appropriate SI units.arrow_forwardA student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vi = 18.0 m/s. The cliff is h = 50.0 m above a body of water as shown in Figure P4.13. (a) What are the coordinates of the initial position of the stone? (b) What are the components of the initial velocity of the stone? (c) What is the appropriate analysis model for the vertical motion of the stone? (d) What is the appropriate analysis model for the horizontal motion of the stone? (e) Write symbolic equations for the x and y components of the velocity of the stone as a function of time. (f) Write symbolic equations for the position of the stone as a function of time. (g) How long after being released does the stone strike the water below the cliff? (h) With what speed and angle of impact does the stone land? Figure P4.13arrow_forwardThe same vectors that are shown in Figure P3.6 are shown in Figure P3.42. The magnitudes are F1 = 1.90f, F2 = f, and F3 = 1.4f, where f is a constant. a. Use the coordinate system shown in Figure P3.42 to find R=F1+F2+F3 in component form in terms of f. b. If Rx = 0.33, what is Ry? c. Check your result by comparing your answer to that of Problem 6. FIGURE P3.42arrow_forward
- A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vi= 18.0 m/s. The cliff is h = 50.0 m above a body of water as shown in Figure P3.19. (a) What are the coordinates of the initial position of the stone? (b) What are the components of the initial velocity of the stone? (c) What is the appropriate analysis model for the vertical motion of the stone? (d) What is the appropriate analysis model for the horizontal motion of the stone? (e) Write symbolic equations for the x and y components of the velocity of the stone as a function of time. (f) Write symbolic equations for the position of the stone as a function of time. (g) How long after being released does the stone strike the water below the cliff? (h) With what speed and angle of impact does the stone land?arrow_forwardFigure P3.40 shows a map of Grand Canyon National Park in Arizona. You need a ruler and protractor for this problem, a. Paul hikes from Cape Royale to Point Sublime. Find the magnitude and direction of his displacement, ignoring any difference in altitude between the two points, b. Lil hikes from Point Sublime to Cape Royale. Find the magnitude and direction of her displacement. Compare your answer with that of part (a).arrow_forwardA speedboat increases its speed uniformly from vi = 20.0 m/s to Vf = 30.0 m/s in a distance of 2.00 102 m. (a) Draw a coordinate system for this situation and label the relevant quantities, including vectors, (b) For the given information, what single equation is most appropriate for finding the acceleration? (c) Solve the equation selected in part (b) symbolically for the boats acceleration in terms of vf, vi, and x. (d) Substitute given values, obtaining that acceleration, (e) Find the time it takes the boat to travel the given distance.arrow_forward
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- (a) If AF=BF , can we conclude A=B ? (b) If AF=BF , can we conclude A=B ? (c) If FA=BF , can we conclude A=B ? Why or why not?arrow_forwardA velocity vector has a magnitude of 720 m/s. Two students draw arrows representing this vector. Clarisse chooses a scale such that 1 cm – 100 m/s. a. What is the length of the arrow that Clarisse draws? b. Francois's arrow is half as long as Clarisse's. What is Francois's scale? c. Is one student's choice better than the other? If so, what makes it a better scale?arrow_forwardThree-dimensional motion Consider the motion of the following objects. Assume the x-axis points east, the y-axis points north, the positive z-axis is vertical and opposite g, the ground is horizontal, and only the gravitational force acts on the object unless otherwise stated.a. Find the velocity and position vectors, for t ≥ 0.b. Make a sketch of the trajectory.c. Determine the time of flight and range of the object.d. Determine the maximum height of the object. A baseball is hit 3 ft above home plate with an initial velocity of⟨60, 80, 80⟩ ft/s. The spin on the baseball produces a horizontalacceleration of the ball of 10 ft/s2 in the eastward direction.arrow_forward
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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