Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 15, Problem 32AP
(a)
To determine
The common speed the two gliders have when the spring is at the maximum compression.
(b)
To determine
The maximum spring compression distance.
(c)
To determine
The energy of the centre of mass motion.
(d)
To determine
The energy of the oscillations.
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Chapter 16: Problem 6:Â A massless spring, with force constant k=181N/m, connects a wall and a block of wood. The system is initially at rest with the spring neither stretched nor compressed. The block has mass M=60.2g and is free to move without friction on a table. A gun is positioned to fire a bullet of mass m=5.36g into the block along the spring axis. After the gun is fired, the bullet gets embedded in the block, and the spring is compressed a maximum distance d=0.837m.
a) In terms of the variables given in the problem statement, find an equation for the speed of the bullet, v, just before it hits the block.Â
b) What is the speed, in meters per second, of the bullet before it enters the block?Â
c) What is the frequency, in hertz, of the resulting periodic motion of the block/bullet and spring system?
The spring of a spring gun has force constant k = 400 N/m and negligible mass. The spring is compressed 6.00 cm, and a ball with mass 0.0300 kg is placed in the horizontal barrel against the compressed spring. The spring is then released, and the ball is propelled out the barrel of the gun. The barrel is 6.00 cm long, so the ball leaves the barrel at the same point that it loses contact with the spring. The gun is held so that the barrel is horizontal. (a) Calculate the speed with which the ball leaves the barrel if you can ignore friction. (b) Calculate the speed of the ball as it leaves the barrel if a constant resisting force of 6.00 N acts on the ball as it moves along the barrel. (c) For the situation in part (b), at what position along the barrel does the ball have the greatest speed, and what is that speed? (In this case, the maximum speed does not occur at the end of the barrel.)
Problem 16:   A massless spring (with force constant k = 182 N/m) connects a wall and a block of wood. The system is initially at rest, with the spring unstretched. The block has mass M = 50.1 g and is able to move without friction on a table. A gun is positioned to fire a bullet of mass m = 6.6 g into the block along the spring axis. After the gun is fired, the bullet gets embedded in the block, and the spring is compressed a maximum distance d = 0.97 m.
 Part (b)  In meters per second, what is the speed of the bullet v before it enters the block?Â
 Part (c)  What is the frequency f (in Hz) of the resulting periodic motion of the block/bullet and spring system?
Chapter 15 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 15.1 - A block on the end of a spring is pulled to...Ch. 15.2 - Consider a graphical representation (Fig. 15.3) of...Ch. 15.2 - shows two curves representing particles undergoing...Ch. 15.2 - An object of mass m is hung from a spring and set...Ch. 15.4 - The ball in Figure 15.13 moves in a circle of...Ch. 15.5 - The grandfather clock in the opening storyline...Ch. 15 - A 0.60-kg block attached to a spring with force...Ch. 15 - A piston in a gasoline engine is in simple...Ch. 15 - The position of a particle is given by the...Ch. 15 - Prob. 4P
Ch. 15 - Review. A particle moves along the x axis. It is...Ch. 15 - Prob. 6PCh. 15 - A particle moving along the x axis in simple...Ch. 15 - The initial position, velocity, and acceleration...Ch. 15 - You attach an object to the bottom end of a...Ch. 15 - Prob. 10PCh. 15 - Prob. 11PCh. 15 - Prob. 12PCh. 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 - While driving behind a car traveling at 3.00 m/s,...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 - Prob. 20PCh. 15 - Prob. 21PCh. 15 - Consider the physical pendulum of Figure 15.16....Ch. 15 - A watch balance wheel (Fig. P15.25) has a period...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 - Prob. 26PCh. 15 - Prob. 27PCh. 15 - Considering an undamped, forced oscillator (b =...Ch. 15 - Prob. 29PCh. 15 - Prob. 30PCh. 15 - An object of mass m moves in simple harmonic...Ch. 15 - Prob. 32APCh. 15 - An object attached to a spring vibrates with...Ch. 15 - Prob. 34APCh. 15 - A pendulum of length L and mass M has a spring of...Ch. 15 - Prob. 36APCh. 15 - Review. A particle of mass 4.00 kg is attached to...Ch. 15 - Prob. 38APCh. 15 - Prob. 39APCh. 15 - Prob. 40APCh. 15 - Review. A lobstermans buoy is a solid wooden...Ch. 15 - Prob. 42APCh. 15 - Prob. 43APCh. 15 - Prob. 44APCh. 15 - A block of mass m is connected to two springs of...Ch. 15 - Review. A light balloon filled with helium of...Ch. 15 - A particle with a mass of 0.500 kg is attached to...Ch. 15 - A smaller disk of radius r and mass m is attached...Ch. 15 - Prob. 49CPCh. 15 - Prob. 50CPCh. 15 - A light, cubical container of volume a3 is...
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