University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 3.65P
A 76.0-kg rock is rolling horizontally at the top of a vertical cliff that is 20 m above the surface of a lake (Fig. P3.65). The top of the vertical face of a clam is located 100 m from the foot of the cliff, with the top of the dam level with the surface of the water in the lake. A level plain is 25 m below the top of the darn.
- a) What must be the minimum speed of the rock just as it leaves the cliff so that it will reach the plain without striking the dam?
- b) How far from the foot of the dam does the rock hit the plain?
Figure P3.65
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A pilot flies horizontally at 1300 km/h, at height h = 35 m above initially level ground. However, at time t = 0, the pilot begins to fly over ground sloping upward at angle u = 4.3°. If the pilot does not change the airplane’s heading, at what time t does the plane strike the ground?
A 2.00-m-tall basketball player is standing on the floor 10.0 m from the basket, as in Figure P3. 58. If he shoots the ball at a 40.0° angle with the horizontal, at what initial speed must he throw the basketball so that it goes through the hoop without striking the backboard? The height of the basket is 3.05 m.
A stone is thrown horizontally from the highest point of a 95 m building and lands 115 m from the base of the building. Ignore air resistance, and use a coordinate system whose origin is at the highest point of the building, with positive y upwards and positive x in the direction of the throw.
How long is the stone in the air in seconds?
What must have been the initial horizontal component of the velocity, in meters per second?
What is the vertical component of the velocity just before the stone hits the ground, in meters per second?
What is the magnitude of the velocity of the stone just before it hits the ground, in meters per second?
Chapter 3 Solutions
University Physics (14th Edition)
Ch. 3 - A simple pendulum (a mass swinging at the end of a...Ch. 3 - Redraw Fig. 3.11a if a is antiparallel to v1. Does...Ch. 3 - A projectile moves in a parabolic path without air...Ch. 3 - A book slides off a horizontal tabletop. As it...Ch. 3 - At the instant that you fire a bullet horizontally...Ch. 3 - A package falls out of an airplane that is flying...Ch. 3 - Sketch the six graphs of the x- and y-components...Ch. 3 - If a jumping frog can give itself the same initial...Ch. 3 - A projectile is fired upward at an angle above...Ch. 3 - In uniform circular motion, what are the average...
Ch. 3 - In uniform circular motion, how does the...Ch. 3 - In uniform circular motion, the acceleration is...Ch. 3 - Raindrops hitting the side windows of a car in...Ch. 3 - In a rainstorm with a strong wind, what determines...Ch. 3 - You are on the west bank of a river that is...Ch. 3 - A stone is thrown into the air at an angle above...Ch. 3 - A squirrel has x- and y-coordinates (1.1 m, 3.4 m)...Ch. 3 - A rhinoceros is at the origin of coordinates at...Ch. 3 - CALC A web page designer creates an animation in...Ch. 3 - CALC The position of a squirrel running in a park...Ch. 3 - A jet plane is flying at a constant altitude. At...Ch. 3 - A dog running in an open field has components of...Ch. 3 - CALC The coordinates of a bird flying in the...Ch. 3 - CALC A remote-controlled car is moving in a vacant...Ch. 3 - A physics book slides off a horizontal tabletop...Ch. 3 - A daring 510-N swimmer dives off a cliff with a...Ch. 3 - Crickets Chirpy and Milada jump from the top of a...Ch. 3 - A rookie quarterback throws a football with an...Ch. 3 - Leaping the River I. During a storm, a car...Ch. 3 - BIO The Champion Jumper of the Insect World. The...Ch. 3 - Inside a starship at rest on the earth, a ball...Ch. 3 - On level ground a shell is fired with an initial...Ch. 3 - A major leaguer hits a baseball so that it leaves...Ch. 3 - A shot putter releases the shot some distance...Ch. 3 - Win the Prize. In a carnival booth, you can win a...Ch. 3 - Firemen use a high-pressure hose to shoot a stream...Ch. 3 - A man stands on the roof of a 15.0-m-tall building...Ch. 3 - A 124-kg balloon carrying a 22-kg basket is...Ch. 3 - The earth has a radius of 6380 km and turns around...Ch. 3 - BIO Dizziness. Our balance is maintained, at least...Ch. 3 - BIO Pilot Blackout in a Power Dive. A jet plane...Ch. 3 - A model of a helicopter rotor has four blades,...Ch. 3 - A Ferris wheel with radius 14.0 m is turning about...Ch. 3 - The radius of the earths orbit around the sun...Ch. 3 - BIO Hypergravity. At its Ames Research Center,...Ch. 3 - A railroad flatcar is traveling to the right at a...Ch. 3 - A moving sidewalk in an airport terminal moves at...Ch. 3 - Two piers, A and B, are located on a river; B is...Ch. 3 - A canoe has a velocity of 0.40 m/s southeast...Ch. 3 - The nose of an ultralight plane is pointed due...Ch. 3 - Crossing the River I. A river flows due south with...Ch. 3 - Crossing the River II. (a) In which direction...Ch. 3 - BIO Bird Migration. Canada geese migrate...Ch. 3 - An airplane pilot wishes to fly due west. A wind...Ch. 3 - CALC A rocket is Tired at an angle from the top of...Ch. 3 - CALC A faulty model rocket moves in the xy-plane...Ch. 3 - CALC If r=bt2i+ct3jwhere b and c are positive...Ch. 3 - CALC The position of a dragonfly that is flying...Ch. 3 - CP A test rocket starting from rest at point A is...Ch. 3 - CALC A bird flies in the .vv-plane with a velocity...Ch. 3 - A sly 1.5-kg monkey and a jungle veterinarian with...Ch. 3 - BIO Spiraling Up. Birds of prey typically rise...Ch. 3 - In fighting forest fires, airplanes work in...Ch. 3 - A movie stuntwoman drops from a helicopter that is...Ch. 3 - An airplane is flying with a velocity of 90.0 m/s...Ch. 3 - A cannon, located 60.0 m from the base of a...Ch. 3 - CP CALC A toy rocket is launched with an initial...Ch. 3 - An important piece of landing equipment must be...Ch. 3 - The longest Home Run. According to Guinness World...Ch. 3 - An Errand of Mercy. An airplane is dropping bales...Ch. 3 - A baseball thrown at an angle of 60.0 above the...Ch. 3 - A water hose is used to fill a large cylindrical...Ch. 3 - A grasshopper leaps into the air from the edge of...Ch. 3 - Figure P3.58 3.58Kicking an Extra Point. In...Ch. 3 - Look Out! A snow-ball rolls off a barn roof that...Ch. 3 - A boy 12.0 m above the ground in a tree throws a...Ch. 3 - Suppose that the boy in Problem 3.60 throws the...Ch. 3 - A rock is thrown with a velocity V0, at an angle...Ch. 3 - Leaping the River II. A physics professor did...Ch. 3 - A 2.7-kg ball is thrown upward with an initial...Ch. 3 - A 76.0-kg rock is rolling horizontally at the top...Ch. 3 - Tossing Your Lunch. Henrietta is jogging on the...Ch. 3 - A cart carrying a vertical missile launcher moves...Ch. 3 - A firefighting crew uses a water cannon that...Ch. 3 - In the middle of the night you are standing a...Ch. 3 - CP Bang! A student sits atop a platform a distance...Ch. 3 - An airplane pilot sets a compass course due west...Ch. 3 - Raindrops. When a trains velocity is 12.0 m/s...Ch. 3 - In a World Cup soccer match, Juan is running due...Ch. 3 - An elevator is moving upward at a constant speed...Ch. 3 - Two soccer players, Mia and Alice, are running as...Ch. 3 - DATA A spring-gun projects a small rock from the...Ch. 3 - DATA You have constructed a hair-spray-powered...Ch. 3 - DATA You are a member of a geological team in...Ch. 3 - CALC A projectile thrown from a point P moves in...Ch. 3 - Two students are canoeing on a river. While...Ch. 3 - CP A rocket designed to place small payloads into...Ch. 3 - PASSAGE PROBLEMS BIO BALLISTIC SEED DISPERSAL....Ch. 3 - BIO BALLISTIC SEED DISPERSAL. Some plants disperse...Ch. 3 - PASSAGE PROBLEMS BIO BALLISTIC SEED DISPERSAL....Ch. 3 - A large number of seeds are observed, and their...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Recall the motion of the block in part B. For each force that you identified, state whether that force did posi...
Tutorials in Introductory Physics
38. * You decide to hang another plant from a 1.5-m-long 2.0-kg horizontal beam that is attached by a hinge to ...
College Physics
Analyzing crystal diffraction is intimately tied to the various different geometries in which the atoms can be ...
Modern Physics
Based on current evidence, what locations on Earth seem likely for the origin of life? What locations can we ru...
Life in the Universe (4th Edition)
Water has a large dielectric constant, but it is rarely used in capacitors. Explain why.
College Physics
5.93 Two objects, with masses 5.00 kg and 2.00 kg, hang 0.600 m above the floor from the ends of a cord that is...
University Physics with Modern Physics (14th 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
- Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a radius of 312 km. If you are standing on the summit, with what Initial velocity would you have to fire a projectile from a cannon horizontally to clear the volcano and land on the surface of Mars? Note that Mars has an acceleration of gravity of 3.7m/s2 .arrow_forwardA fireman d = 50.0 m away from a burning building directs a stream of water from a ground-level fire hose at an angle of i = 30.0 above the horizontal as shown in Figure P3.18. If the speed of the stream as it leaves the hose is vi = 40.0 m/s, at what height will the stream of water strike the building? Figure P3.18arrow_forwardA marble is launched from the edge of a table at a angle of 45 ° up from horizontal and goes through the air until it hits the floor. True or False? For such a marble, |vx| (the magnitude of the x-component of the velocity) is decreasing the entire time the marble is airborne.arrow_forward
- You buy a plastic dart gun, and being a clever physics student you decide to do a quick calculation to find its maximum horizontal range. You shoot the gun straight up, and it takes 3.6 ss for the dart to land back at the barrel.arrow_forwardA basketball player who is 2.00 m tall is standing on the floor 10.0 m from the basket as in figure. If he shoots the ball at a 40.0° angle with the horizontal at what initial speed must he throw so that it goes through the hoop without striking the backboard? the basket height is 3.05 m.arrow_forwardA daredevil drove his motorcycle up an incline at 30 degree angle with the horizontal and got air borne at the end of the incline at 20 m/s, 11 m above the ground. How far horizontally did he land with his motorcycle on the ground, on a safety net?arrow_forward
- A projectile is launched from ground level at an angle θ to the top of a cliff which is 195 m away and 155 m high. If the projectile lands right on the cliff edge 7.6 s after it is fired, find the initial velocity of the projectile.arrow_forwardCan you help me with this question? A motocyclist drives his bike off of a 12 m high horizontal ledge. If he is driving at a speed of 22 m/s horizontally, how far from the base of the ledge does he land?arrow_forward*Draw a simple diagram representation for the solution.In a game war, one team sets base on a cliff 15m high and 60m away from the opponent’s base. At what velocity must the attack be launched so that the lower base will be hit? The initial launch is at 20 degrees below the horizontal?arrow_forward
- A golfer hits his approach shot at an angle of 50.0, giving the ball an initial speed of 38.2 m/s (Fig. P4.60). The ball lands on the elevated green, 5.50 m above the initial position near the hole, and stops immediately. a. How much time passed while the ball was in the air? b. How far did the ball travel horizontally before landing? c. What was the peak height reached by the ball? FIGURE P4.60arrow_forwardA person standing at the top of a hemispherical rock of radius R kicks a ball (initially at rest on the top of the rock) to give it horizontal velocity vi as shown in Figure P3.56. (a) What must be its minimum initial speed if the ball is never to hit the rock after it is kicked? (b) With this initial speed, how far from the base of the rock does the ball hit the ground?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 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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
College Physics
Physics
ISBN:9781305952300
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
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY