Student Workbook for College Physics: A Strategic Approach Volume 1 (Chs. 1-16)
3rd Edition
ISBN: 9780321908865
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter 3, Problem 30P
A pipe discharges storm water into a creek. Water flows horizontally out of the pipe at 1.5 m/s, and the end of the pipe is 2.5 m above the creek. How far out from the end of the pipe is the point where the stream of water meets the creek?
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need help with the first part
A ball is thrown with an initial speed v, at an angle 6, with the horizontal. The horizontal range of the ball is R, and the ball reaches a maximum height R/4. In terms of R and g, find the following.
(a) the time interval during which the ball is in motion
2R
(b) the ball's speed at the peak of its path
v=
Rg 2
√ sin 26, V 3
(c) the initial vertical component of its velocity
Rg
sin ei
sin 20
(d) its initial speed
Rg
√ sin 20
×
(e) the angle 6, expressed in terms of arctan of a fraction.
1
(f) Suppose the ball is thrown at the same initial speed found in (d) but at the angle appropriate for reaching the greatest height that it can. Find this height.
hmax
R2
(g) Suppose the ball is thrown at the same initial speed but at the angle for greatest possible range. Find this maximum horizontal range.
Xmax
R√3
2
An outfielder throws a baseball to his catcher in an attempt to throw out a runner at home plate. The ball bounces once before reaching the catcher. Assume the angle at which the bounced ball leaves the ground is the same as the angle at which the outfielder threw it as shown in the figure, but that the ball's speed after the bounce is one-half of what it was before the bounce.
8
(a) Assuming the ball is always thrown with the same initial speed, at what angle & should the fielder throw the ball to make it go the same distance D with one bounce (blue path) as a ball thrown upward at 35.0° with no bounce (green path)?
24
(b) Determine the ratio of the time interval for the one-bounce throw to the flight time for the no-bounce throw.
Cone-bounce
no-bounce
0.940
Chapter 3 Solutions
Student Workbook for College Physics: A Strategic Approach Volume 1 (Chs. 1-16)
Ch. 3 - a. Can a vector have nonzero magnitude if a...Ch. 3 - Is it possible to add a scalar to a vector? If so,...Ch. 3 - Suppose two vectors have unequal magnitudes. Can...Ch. 3 - Suppose C=A+B a. Under what circumstances does C =...Ch. 3 - For a projectile, which of the following...Ch. 3 - A baseball player throws a ball at a 40 angle to...Ch. 3 - An athlete performing the long jump tries to...Ch. 3 - A person trying to throw a ball as far as possible...Ch. 3 - If you kick a football, at what angle to the...Ch. 3 - A passenger on a jet airplane claims to be able to...
Ch. 3 - If you go to a ski area, youll likely find that...Ch. 3 - In an amusement-park ride, cars rolling along at...Ch. 3 - There are competitions in which pilots fly small...Ch. 3 - A cyclist goes around a level, circular track at...Ch. 3 - You are cycling around a circular track at a...Ch. 3 - An airplane has been directed to fly in a...Ch. 3 - When you go around a corner in your car, your car...Ch. 3 - Which combination of the vectors shown in Figure...Ch. 3 - Two vectors appear as in Figure Q3.19. Which...Ch. 3 - The gas pedal in a car is sometimes referred to as...Ch. 3 - A car travels at constant speed along the curved...Ch. 3 - A ball is fired from a cannon at point 1 and...Ch. 3 - A ball thrown at an initial angle of 37.0 and...Ch. 3 - A cannon elevated at 40 is fired at a wall 300 m...Ch. 3 - A car drives horizontally off a 73-m-high cliff at...Ch. 3 - A football is kicked at an angle of 30 with a...Ch. 3 - A football is kicked at an angle of 30 with a...Ch. 3 - Riders on a Ferris wheel move in a circle with a...Ch. 3 - Formula One race cars are capable of remarkable...Ch. 3 - A car goes around a corner in a circular arc at...Ch. 3 - A position vector with magnitude 10 m points to...Ch. 3 - A velocity vector 40 above the positive x-axis has...Ch. 3 - Jack and Jill ran up the hill at 3.0 m/s. The...Ch. 3 - Josh is climbing up a steep 34 slope, moving at a...Ch. 3 - A cannon tilted upward at 30 fires a cannonball...Ch. 3 - a. What are the x- and y-components of vector E of...Ch. 3 - Draw each of the following vectors, then find its...Ch. 3 - Draw each of the following vectors, then find its...Ch. 3 - Each of the following vectors is given in terms of...Ch. 3 - Each of the following vectors is given in terms of...Ch. 3 - A wildlife researcher is tracking a flock of...Ch. 3 - You begin sliding down a 15 ski slope. Ignoring...Ch. 3 - A car traveling at 30 m/s runs out of gas while...Ch. 3 - In the Soapbox Derby, young participants build...Ch. 3 - A piano has been pushed to the top of the ramp at...Ch. 3 - A car turns into a driveway that slopes upward at...Ch. 3 - Anita is running to the right at 5 m/s, as shown...Ch. 3 - An airplane cruises at 880 km/h relative to the...Ch. 3 - Anita is running to the right at 5 m/s, as shown...Ch. 3 - Raindrops are falling straight down at 12 m/s when...Ch. 3 - A boat takes 3.0 h to travel 30 km down a river,...Ch. 3 - Two children who are bored while waiting for their...Ch. 3 - A ball is thrown horizontally from a 20-m-high...Ch. 3 - A ball with a horizontal speed of 1.25 m/s rolls...Ch. 3 - A pipe discharges storm water into a creek. Water...Ch. 3 - A pipe discharges storm water into a creek. Water...Ch. 3 - Two spheres are both launched horizontally from a...Ch. 3 - A rifle is aimed horizontally at a target 50 m...Ch. 3 - A gray kangaroo can bound across a flat stretch of...Ch. 3 - On the Apollo 14 mission to the moon, astronaut...Ch. 3 - A sprinkler mounted on the ground sends out a jet...Ch. 3 - A good quarterback can throw a football at 27 m/s...Ch. 3 - Racing greyhounds are capable of rounding corners...Ch. 3 - To withstand g-forces of up to 10 gs, caused by...Ch. 3 - The Scion iQ is a compact car that is capable of...Ch. 3 - In a roundabout (or traffic circle), cars go...Ch. 3 - A particle rotates in a circle with centripetal...Ch. 3 - Entrance and exit ramps for freeways are often...Ch. 3 - A peregrine falcon in a tight, circular turn can...Ch. 3 - A particle rotates in a circle with centripetal...Ch. 3 - Suppose D=AB where vector A has components Ax = 5,...Ch. 3 - Suppose E = 2A+3B where vector A has components Ax...Ch. 3 - For the three vectors shown in Figure P3.47, the...Ch. 3 - Prob. 48GPCh. 3 - A typical set of stairs is angled at 38. You climb...Ch. 3 - A pilot in a small plane encounters shifting...Ch. 3 - A small plane, 100 km due south of the equator, is...Ch. 3 - A skier gliding across the snow at 3.0 m/s...Ch. 3 - A block slides along the frictionless track shown...Ch. 3 - When the moving sidewalk at the airport is broken,...Ch. 3 - Ships A and B leave port together. For the next...Ch. 3 - A flock of ducks is trying to migrate south for...Ch. 3 - A kayaker needs to paddle north across a...Ch. 3 - A plane has an airspeed of 200 mph. The pilot...Ch. 3 - The Gulf Stream off the east coast of the United...Ch. 3 - A physics student on Planet Exidor throws a ball,...Ch. 3 - A ball thrown horizontally at 25 m/s travels a...Ch. 3 - In 1780, in what is now referred to as Bradys...Ch. 3 - The longest recorded pass in an NFL game traveled...Ch. 3 - A spring-loaded gun, fired vertically, shoots a...Ch. 3 - Small-plane pilots regularly compete in message...Ch. 3 - In a shot-put event, an athlete throws the shot...Ch. 3 - Trained dolphins are capable of a vertical leap of...Ch. 3 - A tennis player hits a ball 2.0 m above the...Ch. 3 - The shot put is a track-and-field event in which...Ch. 3 - Water at the top of Horseshoe Falls (part of...Ch. 3 - A supply plane needs to drop a package of food to...Ch. 3 - A child slides down a frictionless 3.0-m-long...Ch. 3 - A sports car is advertised as capable of reaching...Ch. 3 - A Ford Mustang can accelerate from 0 to 60 mph in...Ch. 3 - The Screaming Swing is a carnival ride that isnot...Ch. 3 - On an otherwise straight stretch of road near...Ch. 3 - Riding the Water Slide A rider on a water slide...Ch. 3 - Riding the Water Slide A rider on a water slide...Ch. 3 - Riding the Water Slide A rider on a water slide...Ch. 3 - Riding the Water Slide A rider on a water slide...Ch. 3 - Riding the Water Slide A rider on a water slide...
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