Essential University Physics
4th Edition
ISBN: 9780134988559
Author: Wolfson, Richard
Publisher: Pearson Education,
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3, Problem 88P
You're a consulting engineer specializing in athletic facilities, and you’ve been asked to help design the Olympic ski jump pictured in Fig. 3.27. Skiers will leave the jump at 28 m/s and 9.5° below the horizontal, and land 55 m horizontally from the end of the jump. Your job is to specify the slope of the ground so skiers’ trajectories make an angle of only 3.0° with the ground on landing, ensuring their safety. What slope do you specify?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
During volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these projectiles are called volcanic bombs. The
figure shows a cross section of Mt. Fuji, in Japan. (a) At what initial speed would a bomb have to be ejected, at angle 0o = 41° to the
horizontal, from the vent at A in order to fall at the foot of the volcano at B, at vertical distance h = 3.20 km and horizontal distance
d = 9.70 km? Ignore, for the moment, the effects of air on the bomb's travel. (b) What would be the time of flight?
00
d
B
A Motorcycle Jump. You are planning to make a jump with your motorcycle by driving over a ramp that will launch you at an angle of
30.0° with respect to the horizontal. The front edge of the ramp on which you are supposed to land, however, is 25.0 ft lower than
the edge of the launch ramp (i.e., your launch height).
(a) Assuming a launch speed of 60.0 mph, at what horizontal distance from your launch point should the landing ramp be placed?
(b) In order to land smoothly, the angle of the landing ramp should match the direction of your velocity vector when you touch down.
What should be the angle of the landing ramp?
(a) Number
Units
(b) Number
Units
In a historical movie, you observed a catapult being used by
an army. It hurled a stone with a velocity of 55
m
at an
S
angle of 32° from the horizontal. How far did the stone travel
horizontally?
Chapter 3 Solutions
Essential University Physics
Ch. 3.1 - Which vector describes a displacement of 10 units...Ch. 3.2 - An object is accelerating downward. Which, if any,...Ch. 3.3 - An airplane is making a 500-km trip directly north...Ch. 3.4 - An object is moving initially in the +x-direction....Ch. 3.5 - Two projectiles are launched simultaneously from...Ch. 3.6 - An object moves in a horizontal plane with...Ch. 3 - Under what conditions is the magnitude of the...Ch. 3 - Can two vectors of equal magnitude sum to zero?...Ch. 3 - Can an object have a southward acceleration while...Ch. 3 - Youre a passenger in a car rounding a curve. The...
Ch. 3 - In what sense is Equation 3.8 really two (or...Ch. 3 - Is a projectiles speed constant throughout its...Ch. 3 - Is there any point on a projectiles trajectory...Ch. 3 - How is it possible for an object to be moving in...Ch. 3 - Youre in a bus moving with constant velocity on a...Ch. 3 - Which of the following are legitimate mathematical...Ch. 3 - You walk 1.57 km north, then 0.846 km cast. Find...Ch. 3 - An ion in a mass spectrometer follows a...Ch. 3 - Prob. 13ECh. 3 - Vector A has magnitude 3.0 m and points to the...Ch. 3 - Use unit vectors to express a displacement of 120...Ch. 3 - Find the magnitude of the vector 34 + 13 m and...Ch. 3 - (a) Whats the magnitude of + ? (b) What angle...Ch. 3 - Youre leading an international effort to save...Ch. 3 - Prob. 19ECh. 3 - A car drives north at 40 mi/h for 10 min, then...Ch. 3 - An objects velocity is v = ct3 + d, where t is...Ch. 3 - A car, initially going eastward, rounds a 90 curve...Ch. 3 - What are (a) the average velocity and (b) the...Ch. 3 - An object is moving in the x-direction at 1.3 m/s...Ch. 3 - Prob. 26ECh. 3 - You wish to row straight across a 63-m-wide river....Ch. 3 - A plane with airspeed 370 km/h flies...Ch. 3 - A flock of geese is attempting to migrate due...Ch. 3 - The position of an object as a function of time is...Ch. 3 - Youre sailboarding at 6.5 m/s when a wind gust...Ch. 3 - You toss an apple horizontally at 8.7 m/s from a...Ch. 3 - A carpenter tosses a shingle horizontally off an...Ch. 3 - An arrow fired horizontally at 41 m/s travels 23 m...Ch. 3 - Droplets in an ink-jet printer are ejected...Ch. 3 - Protons drop 1.2 m over the 1.7-km length of a...Ch. 3 - If you can hit a golf ball 180 m on Earth, how far...Ch. 3 - Chinas high-speed rail network calls for a minimum...Ch. 3 - The minute hand of a clock is 7.50 cm long. Find...Ch. 3 - How fast would a car have to round a 75-m-radius...Ch. 3 - Determine the acceleration of the Moon, which...Ch. 3 - Global Positioning System (GPS) satellites circle...Ch. 3 - Prob. 43ECh. 3 - Prob. 44ECh. 3 - Prob. 45ECh. 3 - Prob. 46ECh. 3 - Prob. 47ECh. 3 - Prob. 48ECh. 3 - Prob. 49ECh. 3 - Prob. 50ECh. 3 - Prob. 51ECh. 3 - Vector has magnitude 1.0 m and points 35°...Ch. 3 - Let A = 15 40 and B = 31 + 18k. Find C such that...Ch. 3 - You’re a pilot beginning a 1280-km flight to a...Ch. 3 - A particles position is r = (ct2 2dt3) + (2ct2 ...Ch. 3 - Prob. 56PCh. 3 - Youre designing a cloverleaf highway interchange....Ch. 3 - An object undergoes acceleration 2.3 + 3.6 m/s2...Ch. 3 - The New York Wheel is the worlds largest Ferris...Ch. 3 - A ferryboat sails between towns directly opposite...Ch. 3 - The sum of two vectors, A + B, is perpendicular to...Ch. 3 - A delivery drone approaches a customer’s porch,...Ch. 3 - An object is initially moving in the .x-direction...Ch. 3 - A particle leaves the origin with its initial...Ch. 3 - A kid fires a squirt gun horizontally from 1.6 m...Ch. 3 - A projectile has horizontal range R on level...Ch. 3 - You throw a baseball at a 45 angle to the...Ch. 3 - In a chase scene, a movie stuntman runs...Ch. 3 - Derive a general formula for the horizontal...Ch. 3 - Consider two projectiles launched on level ground...Ch. 3 - You toss a protein bar to your hiking companion...Ch. 3 - The table below lists position versus time for an...Ch. 3 - A projectile launched at angle to the horizontal...Ch. 3 - As an expert witness, youre testifying in a case...Ch. 3 - Show that, for a given initial speed, the...Ch. 3 - A basketball player is 15 ft horizontally front...Ch. 3 - A projectile is launched from the edge of a table,...Ch. 3 - Consider the two projectiles in GOT IT? 3.5....Ch. 3 - In the 2015 film The Martian, astronauts ride the...Ch. 3 - Your car can sustain an acceleration of 0.825g...Ch. 3 - Your alpine rescue team is using a slingshot to...Ch. 3 - If you can throw a stone straight up to height h....Ch. 3 - In a conversion from military to peacetime use, a...Ch. 3 - A soccer player can kick the ball 28 m on level...Ch. 3 - A diver leaves a 3-m board on a trajectory that...Ch. 3 - Prob. 87PCh. 3 - You're a consulting engineer specializing in...Ch. 3 - Prob. 89PCh. 3 - Your medieval history class is constructing a...Ch. 3 - Generalize Problem 84 to find an expression for...Ch. 3 - (a) Show that the position of a particle on a...Ch. 3 - Prob. 93PCh. 3 -
After launch, a projectile lands.a horizontal...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...
Additional Science Textbook Solutions
Find more solutions based on key concepts
17. A speed skater moving to the left across frictionless ice at 8.0 m/s hits a 5.0-m-wide patch of rough ice....
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective
The range of flight speeds for microraptor gui if its power output is 20 W .
Physics (5th Edition)
Write each number in decimal form.
23. 6.31 × 10–4
Applied Physics (11th Edition)
Choose the best answer to each of the following. Explain your reasoning. Which one of the following does the tr...
The Cosmic Perspective Fundamentals (2nd Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A hiker walks from (x1, y1) = (4.00 km. 3.00 km) to (x2, y2) = (3.00 km, 6.00 km), (a) What distance has the traveled? (b) The hiker desires to return to his starting point. In what direction should he go? (Give the angle with respect to due cast.) (See Sections 3.2 and 3.3.)arrow_forwardA trebuchet (a catapult) is used to launch a fiery projectile towards a castle. The projectile is 5.0 m above the ground when launched at a velocity of 25 m/s at an angle of 35° above the horizontal. Assuming that the projectile lands on the level ground inside the castle walls answer the following questions. (a) How long was the projectile in the air? (b) How far horizontally did the projectile travel from where it was launched to where it hit the ground? (c) What was the velocity of the projectile just before it hit the ground? (d) Include aarrow_forwardA mountain biker encounters a jump on a race course that sends him into the air at 60° to the horizontal. If he lands at a horizontal distance of 45.0 m and 20 m below his launch point, what is his initial speed?arrow_forward
- A football game begins with a kickoff in which the ball travels a horizontal distance of 37 m(approximately 40 yd) and lands at the same level from which it was kicked. If the ball waskicked at an angle of 44 ° above the horizontal, what was its initial speed?arrow_forwardDuring volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these projectiles are called volcanic bombs. a cross section of Mt. Fuji, in Japan. (a) At what initial speed would a bomb have to be ejected, at angle u0 = 35° to the horizontal, from the vent at A in order to fall at the foot of the volcano at B, at vertical distance h =3.30 km and horizontal distance d = 9.40 km? Ignore, for the moment, the effects of air on the bomb’s travel. (b) What would be the time of flight? (c) Would the effect of the air increase or decrease your answer in (a)?arrow_forwardDuring volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these projectiles are called volcanic bombs. The figure shows a cross section of Mt. Fuji, in Japan. (a) At what initial speed would a bomb have to be ejected, at angle , = 32° to the horizontal, from the vent at A in order to fall at the foot of the volcano at B, at vertical distance h = 3.40 km and horizontal distance d = 10.0 km? Ignore, for the moment, the effects of air on the bomb's travel. (b) What would be the time of flight? %3D (a) Number 330.15 Units m/s (b) Number' 49 Unitsarrow_forward
- A long jumper can jump a distance of 8.0 m when he takes off at an angle of 45° with respect to the horizontal. Assuming he can jump with the same initial speed at all angles, how much distance does he lose by taking off at 30°?arrow_forwardQuestions 1 through 3 pertain to the situation described below: An archer wants to launch an arrow from a bow to clear a treetop that is 35.0 m vertically above, and 97.0 m horizontally away from, the launching location. Assume that the launching speed is 57.0 m/s and the launching angle is 0 above the horizontal. (1) How much does the arrow clear the treetop if 0 = 30.0°? (A) 3.6 m; (B) 3.1 m; (C) 2.6 m; (D) 2.1 m; (E) 1.6 m. (2) What is the maximum horizontal range of the arrow if 0 can vary? (A) 212 m; (B) 242 m; (C) 272 m; (D) 302 m; (E) 332 m. (3) What is the range of 0 for the arrow to clear the treetop? (A) 29.9-86.0°; (B) 28.9–81.0°; (C) 27.9–76.0°; (D) 26.9–71.0°; (E) 25.9–66.0°.arrow_forward. You tossed out a ball from a building at a height of 50.0 meter above the ground with an initial velocity of 9.00 m/s and angle of 25° to the horizontal. It strikes the ground after 5.00 seconds. With the positive x-direction chosen to be out of the window, how far horizontally from the base of the building does the ball strike the ground?arrow_forward
- You were hiding in a tree 5 m above the ground when you spotted a rabbit on the ground. You took a pebble and shot it with your sling shot. You missed. You estimated you were aiming downward at -50 degrees (i.e. below horizontal) with an initial speed of 5.0 m/s. How far did the pebble land horizontally away from you?arrow_forwardAn NFL quarterback throws a pass, for which the launch angle is 29 degrees above horizontal, with an initial speed of 13.9 m/s, and the ball is caught at the same height at which is was released. How far horizontally does the ball travel, in meters, while it is in flight?arrow_forwardDuring volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these projectiles are called volcanic bombs. The figure shows a cross section of Mt. Fuji, in Japan. (a) At what initial speed would a bomb have to be ejected, at angle θ0 = 38˚ to the horizontal, from the vent at A in order to fall at the foot of the volcano at B, at vertical distance h = 3.40 km and horizontal distance d = 10.2 km? Ignore, for the moment, the effects of air on the bomb's travel. (b) What would be the time of flight?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY