PHYSICS F/SCI.+ENGR.,CHAPTERS 1-37
5th Edition
ISBN: 9780134378060
Author: GIANCOLI
Publisher: RENT PEARS
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Chapter 8, Problem 8Q
Can the total mechanical energy
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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 8 Solutions
PHYSICS F/SCI.+ENGR.,CHAPTERS 1-37
Ch. 8.2 - By how much does the potential energy change when...Ch. 8.4 - In Example 83, what is the rock's speed just...Ch. 8.4 - Two balls are released from the same height above...Ch. 8 - List some everyday forces that are not...Ch. 8 - You lift a heavy book from a table to a high...Ch. 8 - Analyze the motion of a simple swinging pendulum...Ch. 8 - Prob. 4QCh. 8 - A coil spring of mass m rests upright on a table....Ch. 8 - Experienced hikers prefer to step over a fallen...Ch. 8 - (a) Where does the kinetic energy come from when a...
Ch. 8 - Can the total mechanical energy E=K+Uever be...Ch. 8 - Describe the energy transformations when a child...Ch. 8 - Prob. 10QCh. 8 - Recall from Chapter 4, Example 414, that you can...Ch. 8 - Two identical arrows, one with twice the speed of...Ch. 8 - In Mg. 825, water balloons are tossed from the...Ch. 8 - Suppose that you wish to launch a rocket from the...Ch. 8 - Suppose you lift a suitcase from the floor to a...Ch. 8 - Repeat Question 23 for the power needed instead of...Ch. 8 - Why is it easier to climb a mountain via a zigzag...Ch. 8 - Prob. 18QCh. 8 - Prob. 19QCh. 8 - (a) Describe in detail the velocity changes of a...Ch. 8 - Prob. 1MCQCh. 8 - Prob. 2MCQCh. 8 - Prob. 3MCQCh. 8 - Prob. 4MCQCh. 8 - Prob. 5MCQCh. 8 - Prob. 6MCQCh. 8 - Prob. 7MCQCh. 8 - Prob. 8MCQCh. 8 - Prob. 9MCQCh. 8 - Prob. 10MCQCh. 8 - Prob. 11MCQCh. 8 - Prob. 12MCQCh. 8 - Prob. 13MCQCh. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - Prob. 6PCh. 8 - (II) A particle is constrained to move in one...Ch. 8 - (II) If U=3x2+2xy+4y2z, what is the force, F?Ch. 8 - Prob. 9PCh. 8 - Prob. 10PCh. 8 - Prob. 11PCh. 8 - (I) Jane, looking for Tarzan, is running at top...Ch. 8 - Prob. 13PCh. 8 - Prob. 14PCh. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Prob. 19PCh. 8 - (II) A roller-coaster car shown in Fig. 832 is...Ch. 8 - (II) When a mass m sits at rest on a spring, the...Ch. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - (III) A skier of mass m starts from rest at the...Ch. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - (II) A ski starts from rest and slides down a 28...Ch. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - Prob. 36PCh. 8 - Prob. 37PCh. 8 - (III) A spring (k = 75 N/m) has an equilibrium...Ch. 8 - Prob. 39PCh. 8 - Prob. 40PCh. 8 - Prob. 41PCh. 8 - (I) For a satellite of mass mS in a circular orbit...Ch. 8 - (II) Show that Eq. 816 for gravitational potential...Ch. 8 - (II) Determine the escape velocity from the Sun...Ch. 8 - Prob. 45PCh. 8 - Prob. 46PCh. 8 - (II) Take into account the Earths rotational speed...Ch. 8 - (II) (a) Determine a formula for the maximum...Ch. 8 - Prob. 49PCh. 8 - Prob. 50PCh. 8 - (II) How much work would be required to move a...Ch. 8 - (II) A sphere of radius r1 has a concentric...Ch. 8 - (II) (a) Show that the total mechanical energy of...Ch. 8 - Prob. 54PCh. 8 - Prob. 55PCh. 8 - Prob. 56PCh. 8 - (I) An 85-kg football player traveling 5.0 m/s is...Ch. 8 - (I) If a car generates 18 hp when traveling at a...Ch. 8 - Prob. 59PCh. 8 - Prob. 60PCh. 8 - Prob. 61PCh. 8 - Prob. 62PCh. 8 - Prob. 63PCh. 8 - Prob. 64PCh. 8 - Prob. 65PCh. 8 - Prob. 66PCh. 8 - Prob. 67PCh. 8 - Prob. 68PCh. 8 - Prob. 69PCh. 8 - (III) A bicyclist coasts clown a 6.0 hill at a...Ch. 8 - Draw a potential energy diagram, U vs. x, and...Ch. 8 - Prob. 72PCh. 8 - Prob. 73PCh. 8 - (III) The potential energy of the two atoms in a...Ch. 8 - (III) The binding energy of a two-particle system...Ch. 8 - Prob. 78GPCh. 8 - Prob. 79GPCh. 8 - Prob. 80GPCh. 8 - Prob. 81GPCh. 8 - A ball is attached to a horizontal cord of length ...Ch. 8 - Show the h must be greater than 0.60 if the ball...Ch. 8 - Prob. 84GPCh. 8 - Prob. 85GPCh. 8 - Prob. 86GPCh. 8 - Prob. 87GPCh. 8 - Prob. 88GPCh. 8 - The small mass m sliding without friction along...Ch. 8 - Some electric power companies use water to store...Ch. 8 - A film of Jesse Owenss famous long jump (Fig. 849)...Ch. 8 - The nuclear force between two neutrons in a...Ch. 8 - Prob. 93GPCh. 8 - A fire hose for use in urban areas must be able to...Ch. 8 - Prob. 95GPCh. 8 - (II) (a) Suppose we have three masses, m1, m2, and...Ch. 8 - Prob. 97GPCh. 8 - Prob. 98GPCh. 8 - Prob. 99GPCh. 8 - Suppose the gravitational potential energy of an...Ch. 8 - A particle of mass m moves under the influence of...Ch. 8 - Prob. 102GPCh. 8 - Prob. 103GPCh. 8 - Prob. 104GP
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