PHYSICS:PRINCIPLES W/ APPLICATIONS
7th Edition
ISBN: 2818440037979
Author: GIANCOLI
Publisher: PEARSON
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Chapter 6, Problem 27P
A spring has a spring constant k of 88.0 N/m. How much must this spring be compressed to store 45.0 J of potential 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 6 Solutions
PHYSICS:PRINCIPLES W/ APPLICATIONS
Ch. 6 - A skier starts at the top of a hill. On which run...Ch. 6 - In what ways is the word “work’' as used in...Ch. 6 - Can a centripetal force ever do work on an object?...Ch. 6 - Why is it tiring to push hard against a solid wall...Ch. 6 - Can the normal force on an object ever do work?...Ch. 6 - You have two springs that are identical except...Ch. 6 - If the speed of a particle triples, by what factor...Ch. 6 - List some everyday forces that are not...Ch. 6 - A hand exerts a constant horizontal force on a...Ch. 6 - You lift heavy book from a table to a high shelf....
Ch. 6 - A hill has a height h. A child on a sled (total...Ch. 6 - Analyze the motion of a simple swinging pendulum...Ch. 6 - In Fig. 6-31, water balloons are tossed from the...Ch. 6 - What happens to the gravitational potential energy...Ch. 6 - Experienced hikers prefer to step over a fallen...Ch. 6 - The energy transformations in pole vaulting and...Ch. 6 - Prob. 16QCh. 6 - 17. Two identical arrows, one with twice the speed...Ch. 6 - Prob. 18QCh. 6 - Prob. 19QCh. 6 - Describe the energy transformations that take...Ch. 6 - Prob. 21QCh. 6 - Prob. 22QCh. 6 - Prob. 23QCh. 6 - Prob. 1MCQCh. 6 - Prob. 2MCQCh. 6 - When the speed of your car is doubled, by what...Ch. 6 - Prob. 4MCQCh. 6 - Prob. 5MCQCh. 6 - Prob. 6MCQCh. 6 - Prob. 7MCQCh. 6 - Prob. 8MCQCh. 6 - Prob. 9MCQCh. 6 - Prob. 10MCQCh. 6 - Prob. 11MCQCh. 6 - Prob. 12MCQCh. 6 - Prob. 13MCQCh. 6 - Prob. 14MCQCh. 6 - A 75.0-kg firefighter climbs a flight of stairs...Ch. 6 - The head of a hammer with a mass of 1.2 kg is...Ch. 6 - How much work did the movers do (horizontally)...Ch. 6 - A 1200-N crate rests on the floor. How much work...Ch. 6 - What is the minimum work needed to push a 950-kg...Ch. 6 - Estimate the work you do to mow a lawn 10 m by 20...Ch. 6 - In a certain library the first shelf is 15.0 cm...Ch. 6 - A lever such as that shown in Fig. 6-35 can be...Ch. 6 - A box of mass 4.0 kg is accelerated from rest by a...Ch. 6 - A 380-kg piano slides 2.9 m down a 25° incline and...Ch. 6 - Recall from Chapter 4, Example 4-14, that you can...Ch. 6 - A grocery cart with mass of 16 kg is being pushed...Ch. 6 - The force on a particle, acting along the x axis,...Ch. 6 - A 17,000-kg jet takes off from an aircraft carrier...Ch. 6 - At room temperature, an oxygen molecule, with mass...Ch. 6 - (a) If the kinetic energy of a particle is...Ch. 6 - How much work is required to stop an electron...Ch. 6 - How much work must be done to stop a 925-kg car...Ch. 6 - Prob. 19PCh. 6 - A baseball (m = 145 g) traveling 32 m/s moves a...Ch. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - 24. (Ill) One car has twice the mass of a second...Ch. 6 - 25. (Ill) A 265-kg load is lifted 18.0 m...Ch. 6 - 26. (I) By how much does the gravitational...Ch. 6 - A spring has a spring constant k of 88.0 N/m. How...Ch. 6 - Prob. 28PCh. 6 - 29. (II) A 66.5-kg hiker starts at an elevation of...Ch. 6 - Prob. 30PCh. 6 - A novice skier starting from rest, slides down an...Ch. 6 - 32. (I) Jane, looking for Tarzan, is running at...Ch. 6 - A sled is initially given a shove up a...Ch. 6 - Prob. 34PCh. 6 - 35. (II) A spring with k=83 N/m hangs vertically...Ch. 6 - Prob. 36PCh. 6 - Prob. 37PCh. 6 - Prob. 38PCh. 6 - Prob. 39PCh. 6 - Prob. 40PCh. 6 - Prob. 41PCh. 6 - 42. (II) What should be the spring constant k of a...Ch. 6 - 43. (Ill) An engineer is designing a spring to be...Ch. 6 - Prob. 44PCh. 6 - 45. (III) A cyclist intends to cycle up a 7.50°...Ch. 6 - Prob. 46PCh. 6 - Prob. 47PCh. 6 - Prob. 48PCh. 6 - Prob. 49PCh. 6 - Prob. 50PCh. 6 - Prob. 51PCh. 6 - 52. (II) You drop a ball from a height of 2.0 m,...Ch. 6 - 53. (II) A 66-kg skier starts from rest at the top...Ch. 6 - 54. (II) A projectile is fired at an upward angle...Ch. 6 - 55. (II) The Lunar Module could make a safe...Ch. 6 - 56. (III) Early test flights for the space shuttle...Ch. 6 - How long will It take a 2750-W motor to lift a...Ch. 6 - 58. (I) (a) Show that one British horsepower (550...Ch. 6 - An 85-kg football player traveling 5.0 m/s is...Ch. 6 - Prob. 60PCh. 6 - Prob. 61PCh. 6 - A shot-putter accelerates a 7.3-kg shot from rest...Ch. 6 - Prob. 63PCh. 6 - 64. (II) How much work can a 2.0-hp motor do in...Ch. 6 - Prob. 65PCh. 6 - Prob. 66PCh. 6 - Prob. 67PCh. 6 - Prob. 68PCh. 6 - Prob. 69PCh. 6 - 70. (II) What minimum horsepower must a motor have...Ch. 6 - Prob. 71PCh. 6 - Prob. 72GPCh. 6 - Prob. 73GPCh. 6 - Prob. 74GPCh. 6 - Prob. 75GPCh. 6 - Prob. 76GPCh. 6 - Prob. 77GPCh. 6 - Prob. 78GPCh. 6 - Prob. 79GPCh. 6 - Prob. 80GPCh. 6 - Prob. 81GPCh. 6 - Prob. 82GPCh. 6 - Prob. 83GPCh. 6 - Prob. 84GPCh. 6 - Prob. 85GPCh. 6 - Prob. 86GPCh. 6 - Prob. 87GPCh. 6 - Prob. 88GPCh. 6 - Prob. 89GPCh. 6 - Prob. 90GPCh. 6 - Prob. 91GPCh. 6 - Prob. 92GPCh. 6 - Prob. 93GPCh. 6 - Prob. 94GP
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