University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 3, Problem 3.14E
BIO The Champion Jumper of the Insect World. The froghopper, Philaenus spumarius, holds the world record for insect jumps. When leaping at an angle of 58.0° above the horizontal, some of the tiny critters have reached a maximum height of 58.7 cm above the level ground. (See Nature, Vol. 424, July 31, 2003, p. 509.) (a) What was the takeoff speed for such a leap? (b) What horizontal distance did the froghopper cover for this world-record leap?
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11. The froghopper, Philaemus spumarius, holds the world record for insect jumps. When leaping at
an angle of 58.00 above the horizontal, some of the tiny critters have reached a maximum height
of 58.7 cm above the level ground. (See Nature, Vol. 424, July 31, 2003, p. 509.) (a) What was
the takeoff speed for such a leap? (b) What horizontal distance did the froghopper cover for this
world-record leap?
2.The froghopper, Philaenus spumarius, holds the world record for insect jumps.When leaping at an angle of 58.0° above the horizontal, some of the tiny critters have reached a maximum height of 58.7 cm above the level ground. (See Nature, Vol. 424, July 31, 2003, p. 509.) Neglect air resistance in answering the following. (a) What was the take off speed for such a leap? (b) What horizontal distance did the froghopper cover for this world-record leap?
In the vertical jump, an Kobe Bryant starts from a crouch and jumps upward to reach as high as possible. Even the best athletes spend little more than 1.00 s in the air (their "hang time"). Treat Kobe as a particle and let ymax be his maximum height above the floor. Note: this isn't the entire story since Kobe can twist and curl up in the air, but then we can no longer treat him as a particle.
Hint: Find v0 to reach y_max in terms of g and y_max and recall the velocity at y_max is zero. Then find v1 to reach y_max/2 with the same kinematic equation. The time to reach y_max is obtained from v0=g (t), and the time to reach y_max/2 is given by v1-v0= -g(t1). Now, t1 is the time to reach y_max/2, and the quantity t-t1 is the time to go from y_max/2 to y_max. You want the ratio of (t-t1)/t1
Note from Asker: I am generally confused on how to manipulate the formulas, so if you could show every step that would be great, Thank You.
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Chapter 3 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 3.1 - In which of these situations would the average...Ch. 3.2 - A sled travels over the crest of a snow-covered...Ch. 3.3 - In Example 3.10, suppose the tranquilizer dart has...Ch. 3.4 - Suppose that the particle in Fig. 3.30 experiences...Ch. 3.5 - Suppose the nose of an airplane is pointed due...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 - BIO BALLISTIC SEED DISPERSAL. Some plants disperse...Ch. 3 - BIO BALLISTIC SEED DISPERSAL. Some plants disperse...Ch. 3 - BIO BALLISTIC SEED DISPERSAL. Some plants disperse...Ch. 3 - A large number of seeds are observed, and their...
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