Bundle: Physics for Scientists and Engineers, Technology Update, 9th Loose-leaf Version + WebAssign Printed Access Card, Multi-Term
9th Edition
ISBN: 9781305714892
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 15, Problem 15.4P
In an engine, a piston oscillates with simpler harmonic motion so that its position varies according to the expression
where x is in centimeters and t is in seconds. At t = O. find (a) the position of the particle, (b) its velocity, and (c) its acceleration. Find (d) the period and (e) the amplitude of the motion.
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For either the time for one full cycle is 0.040 s; this is the period.
Part C
-
ON
You are told that the two points x = 0 and x = 0.0900 m are within one
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wavelength.
Express your answer to two significant figures and include the appropriate
units.
0
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0.01 0.03 0.05 0.07
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Part C
Find the height yi
from which the rock was launched.
Express your answer in meters to three significant figures.
Learning Goal:
To practice Problem-Solving Strategy 4.1 for projectile motion problems.
A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 19.0 m before hitting the ground. From what height was the rock thrown? Use the value g = 9.800 m/s2 for the free-fall acceleration.
PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problems
MODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model.
VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle θ, the initial velocity components are vix=v0cosθ and viy=v0sinθ.
SOLVE: The acceleration is known: ax=0 and ay=−g. Thus, the problem becomes one of…
Phys 25
Chapter 15 Solutions
Bundle: Physics for Scientists and Engineers, Technology Update, 9th Loose-leaf Version + WebAssign Printed Access Card, Multi-Term
Ch. 15 - A block on the end of a spring is pulled to...Ch. 15 - Consider a graphical representation (Fig. 15.3) of...Ch. 15 - Figure 15.4 shows two curves representing...Ch. 15 - An object of mass m is hung from a spring and set...Ch. 15 - The ball in Figure 15.13 moves in a circle of...Ch. 15 - The grandfather clock in the opening storyline...Ch. 15 - If a simple pendulum oscillates with small...Ch. 15 - You attach a block to the bottom end of a spring...Ch. 15 - A block-spring system vibrating on a frictionless,...Ch. 15 - An object-spring system moving with simple...
Ch. 15 - An object of mass 0.40 kg, hanging from a spring...Ch. 15 - A runaway railroad car, with mass 3.0 105 kg,...Ch. 15 - The position of an object moving with simple...Ch. 15 - If an object of mass m attached to a light spring...Ch. 15 - You stand on the end of a diving board and bounce...Ch. 15 - A mass-spring system moves with simple harmonic...Ch. 15 - A block with mass m = 0.1 kg oscillates with...Ch. 15 - For a simple harmonic oscillator, answer yes or no...Ch. 15 - The top end of a spring is held fixed. A block is...Ch. 15 - Which of the following statements is not true...Ch. 15 - A simple pendulum has a period of 2.5 s. (i) What...Ch. 15 - A simple pendulum is suspended from the ceiling of...Ch. 15 - A particle on a spring moves in simple harmonic...Ch. 15 - You are looking at a small, leafy tree. You do not...Ch. 15 - Prob. 15.2CQCh. 15 - If the coordinate of a particle varies as x = -A...Ch. 15 - A pendulum bob is made from a sphere filled with...Ch. 15 - Figure CQ15.5 shows graphs of the potential energy...Ch. 15 - A student thinks that any real vibration must be...Ch. 15 - The mechanical energy of an undamped block-spring...Ch. 15 - Is it possible to have damped oscillations when a...Ch. 15 - Will damped oscillations occur for any values of b...Ch. 15 - If a pendulum clock keeps perfect time al the base...Ch. 15 - Prob. 15.11CQCh. 15 - A simple pendulum can be modeled as exhibiting...Ch. 15 - Consider the simplified single-piston engine in...Ch. 15 - A 0.60-kg block attached to a spring with force...Ch. 15 - When a 4.25-kg object is placed on lop of a...Ch. 15 - A vertical spring stretches 3.9 cm when a 10-g...Ch. 15 - In an engine, a piston oscillates with simpler...Ch. 15 - The position of a particle is given by the...Ch. 15 - A piston in a gasoline engine is in simple...Ch. 15 - A 1.00-kg object is attached to a horizontal...Ch. 15 - A simple harmonic oscillator takes 12.0 s to...Ch. 15 - A 7.00-kg object is hung from the bottom end of a...Ch. 15 - At an outdoor market, a bunch of bananas attached...Ch. 15 - A vibration sensor, used in testing a washing...Ch. 15 - (a) A hanging spring stretches by 35.0 cm when an...Ch. 15 - Review. A particle moves along the x axis. It is...Ch. 15 - A ball dropped from a height of 4.00 m makes an...Ch. 15 - A particle moving along the x axis in simple...Ch. 15 - The initial position, velocity, and acceleration...Ch. 15 - A particle moves in simple harmonic motion with a...Ch. 15 - A 1.00-kg glider attached to a spring with a force...Ch. 15 - A 0.500-kg object attached to a spring with a...Ch. 15 - You attach an object to the bottom end of a...Ch. 15 - To test the resiliency of its bumper during...Ch. 15 - A 200-g block is attached to a horizontal spring...Ch. 15 - A block of unknown mass is attached to a spring...Ch. 15 - A block-spring system oscillates with an amplitude...Ch. 15 - A particle executes simple harmonic motion with an...Ch. 15 - The amplitude of a system moving in simple...Ch. 15 - A 50.0-g object connected to a spring with a force...Ch. 15 - A 2.00-kg object is attached to a spring and...Ch. 15 - A simple harmonic oscillator of amplitude A has a...Ch. 15 - Review. A 65.0-kg bungee jumper steps off a bridge...Ch. 15 - Review. A 0.250-kg block resting on a...Ch. 15 - Prob. 15.32PCh. 15 - While driving behind a car traveling at 3.00 m/s,...Ch. 15 - A seconds pendulum is one that moves through its...Ch. 15 - A simple pendulum makes 120 complete oscillations...Ch. 15 - A particle of mass m slides without friction...Ch. 15 - A physical pendulum in the form of a planar object...Ch. 15 - A physical pendulum in the form of a planar object...Ch. 15 - The angular position of a pendulum is represented...Ch. 15 - Consider the physical pendulum of Figure 15.16....Ch. 15 - Prob. 15.41PCh. 15 - A very light rigid rod of length 0.500 m extends...Ch. 15 - Review. A simple pendulum is 5.00 m long. What is...Ch. 15 - A small object is attached to the end of a string...Ch. 15 - A watch balance wheel (Fig. P15.25) has a period...Ch. 15 - A pendulum with a length of 1.00 m is released...Ch. 15 - A 10.6-kg object oscillates at the end of a...Ch. 15 - Show that the time rate of change of mechanical...Ch. 15 - Show that Equation 15.32 is a solution of Equation...Ch. 15 - A baby bounces up and down in her crib. Her mass...Ch. 15 - As you enter a fine restaurant, you realize that...Ch. 15 - A block weighing 40.0 N is suspended from a spring...Ch. 15 - A 2.00-kg object attached to a spring moves...Ch. 15 - Considering an undamped, forced oscillator (b =...Ch. 15 - Damping is negligible for a 0.150-kg object...Ch. 15 - The mass of the deuterium molecule (D2) is twice...Ch. 15 - An object of mass m moves in simple harmonic...Ch. 15 - Review. This problem extends the reasoning of...Ch. 15 - A small ball of mass M is attached to the end of a...Ch. 15 - Review. A rock rests on a concrete sidewalk. An...Ch. 15 - Four people, each with a mass of 72.4 kg, are in a...Ch. 15 - To account for the walking speed of a bipedal or...Ch. 15 - Prob. 15.63APCh. 15 - An object attached to a spring vibrates with...Ch. 15 - Review. A large block P attached to a light spring...Ch. 15 - Review. A large block P attached to a light spring...Ch. 15 - A pendulum of length L and mass M has a spring of...Ch. 15 - A block of mass m is connected to two springs of...Ch. 15 - A horizontal plank of mass 5.00 kg and length 2.00...Ch. 15 - A horizontal plank of mass m and length L is...Ch. 15 - Review. A particle of mass 4.00 kg is attached to...Ch. 15 - A ball of mass m is connected to two rubber bands...Ch. 15 - Review. One end of a light spring with force...Ch. 15 - People who ride motorcycles and bicycles learn to...Ch. 15 - A simple pendulum with a length of 2.23 m and a...Ch. 15 - When a block of mass M, connected to the end of a...Ch. 15 - Review. A light balloon filled with helium of...Ch. 15 - Consider the damped oscillator illustrated in...Ch. 15 - A particle with a mass of 0.500 kg is attached to...Ch. 15 - Your thumb squeaks on a plate you have just...Ch. 15 - Review. A lobstermans buoy is a solid wooden...Ch. 15 - Prob. 15.82APCh. 15 - Two identical steel balls, each of mass 67.4 g,...Ch. 15 - A smaller disk of radius r and mass m is attached...Ch. 15 - An object of mass m1 = 9.00 kg is in equilibrium...Ch. 15 - Review. Why is the following situation impassible?...Ch. 15 - A block of mass M is connected to a spring of mass...Ch. 15 - Review. A system consists of a spring with force...Ch. 15 - A light, cubical container of volume a3 is...
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