Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 15, Problem 2OQ
To determine
The maximum distance moved by block.
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471 N/m
A force of 15.0 N is required to stretch a spring a distance of 5.20 cm. What is the force constant of the spring, in units of N/m?
You attach a block to the bottom end of a spring hang- ing vertically. You slowly let the block move down and find that it hangs at rest with the spring stretched by 15.0 cm. Next, you lift the block back up to the ini- tial position and release it from rest with the spring unstretched, What maximum distance does it move down? (a) 7.5 cm (b) 15.0 cm (c) 30.0 cm (d) 60.0 cm (e) The distance cannot be determined without know- ing the mass and spring constant.
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 - Prob. 1OQCh. 15 - Prob. 2OQCh. 15 - Prob. 3OQCh. 15 - Prob. 4OQ
Ch. 15 - Prob. 5OQCh. 15 - Prob. 6OQCh. 15 - Prob. 7OQCh. 15 - Prob. 8OQCh. 15 - Prob. 9OQCh. 15 - Prob. 10OQCh. 15 - Prob. 11OQCh. 15 - Prob. 12OQCh. 15 - Prob. 13OQCh. 15 - Prob. 14OQCh. 15 - Prob. 15OQCh. 15 - Prob. 16OQCh. 15 - Prob. 17OQCh. 15 - Prob. 1CQCh. 15 - Prob. 2CQCh. 15 - Prob. 3CQCh. 15 - Prob. 4CQCh. 15 - Prob. 5CQCh. 15 - Prob. 6CQCh. 15 - Prob. 7CQCh. 15 - Prob. 8CQCh. 15 - Prob. 9CQCh. 15 - Prob. 10CQCh. 15 - Prob. 11CQCh. 15 - Prob. 12CQCh. 15 - Prob. 13CQCh. 15 - A 0.60-kg block attached to a spring with force...Ch. 15 - Prob. 2PCh. 15 - Prob. 3PCh. 15 - Prob. 4PCh. 15 - The position of a particle is given by the...Ch. 15 - A piston in a gasoline engine is in simple...Ch. 15 - Prob. 7PCh. 15 - Prob. 8PCh. 15 - Prob. 9PCh. 15 - Prob. 10PCh. 15 - Prob. 11PCh. 15 - Prob. 12PCh. 15 - Review. A particle moves along the x axis. It is...Ch. 15 - Prob. 14PCh. 15 - A particle moving along the x axis in simple...Ch. 15 - The initial position, velocity, and acceleration...Ch. 15 - Prob. 17PCh. 15 - Prob. 18PCh. 15 - Prob. 19PCh. 15 - You attach an object to the bottom end of a...Ch. 15 - Prob. 21PCh. 15 - Prob. 22PCh. 15 - Prob. 23PCh. 15 - Prob. 24PCh. 15 - Prob. 25PCh. 15 - Prob. 26PCh. 15 - Prob. 27PCh. 15 - Prob. 28PCh. 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. 32PCh. 15 - Prob. 33PCh. 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 - Prob. 38PCh. 15 - Prob. 39PCh. 15 - Consider the physical pendulum of Figure 15.16....Ch. 15 - Prob. 41PCh. 15 - Prob. 42PCh. 15 - Prob. 43PCh. 15 - Prob. 44PCh. 15 - A watch balance wheel (Fig. P15.25) has a period...Ch. 15 - Prob. 46PCh. 15 - Prob. 47PCh. 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. 50PCh. 15 - Prob. 51PCh. 15 - Prob. 52PCh. 15 - Prob. 53PCh. 15 - Considering an undamped, forced oscillator (b =...Ch. 15 - Prob. 55PCh. 15 - Prob. 56APCh. 15 - An object of mass m moves in simple harmonic...Ch. 15 - Prob. 58APCh. 15 - Prob. 59APCh. 15 - Prob. 60APCh. 15 - Four people, each with a mass of 72.4 kg, are in a...Ch. 15 - Prob. 62APCh. 15 - Prob. 63APCh. 15 - An object attached to a spring vibrates with...Ch. 15 - Prob. 65APCh. 15 - Prob. 66APCh. 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 - Prob. 69APCh. 15 - Prob. 70APCh. 15 - Review. A particle of mass 4.00 kg is attached to...Ch. 15 - Prob. 72APCh. 15 - Prob. 73APCh. 15 - Prob. 74APCh. 15 - Prob. 75APCh. 15 - Review. A light balloon filled with helium of...Ch. 15 - Prob. 78APCh. 15 - A particle with a mass of 0.500 kg is attached to...Ch. 15 - Prob. 80APCh. 15 - Review. A lobstermans buoy is a solid wooden...Ch. 15 - Prob. 82APCh. 15 - Prob. 83APCh. 15 - A smaller disk of radius r and mass m is attached...Ch. 15 - Prob. 85CPCh. 15 - Prob. 86CPCh. 15 - Prob. 87CPCh. 15 - Prob. 88CPCh. 15 - A light, cubical container of volume a3 is...
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- A 1.70-kg mass is attached to a vertical spring with spring constant, k=93.0 N/m and allowed to stretch to its equilibrium position. It is then pulled down an additional 10.0 cm and released. How long does it take to move from 10.0 cm back thru its equilibrium position? Give your answer in seconds to 3 decimal places.arrow_forwardI attach a metal block to a vertical spring and it stretches by 6 cm. If I replace the block with another one twice the mass, the spring will stretch another 3 cm, making the total stretch 9 cm. another 6 cm, making the total stretch 12 cm. another 12 cm, making the total stretch 18 cm. more than another 12 cm.arrow_forwardA 29.0 cm long spring is hung vertically from a ceiling and stretches to 36.3 cm when a 7.00 kg mass is hung from its free end. HINT (a) Find the spring constant (in N/m). N/m (b) Find the length of the spring (in cm) if the 7.00 kg weight is replaced with a 165 N weight. cmarrow_forward
- An ideal spring hangs vertically. When a 453 g object is hung from the bottom end, and lowered gently, the spring stretches 5.58 cm. How much would be the spring have stretched, in cm, if the mass of the object had been 560 g instead? x'=?arrow_forwardAn ornament of mass 41.4 g is attached to a vertical ideal spring with a force constant (spring constant) of 13.6 N/m. The ornament is then lowered very slowly until the spring stops stretching. How much does the spring stretch?arrow_forwardFish are hung on a spring scale to determine their mass (most fishermen feel no obligation to report the mass truthfully). (a) What is the force constant (in N/m) of the spring in such a scale if it stretches 7.60 cm for a 13.5 kg load? N/m (b) What is the mass (in kg) of a fish that stretches the spring 5.50 cm? kg (c) How far apart (in mm) are the half-kilogram marks on the scale? mmarrow_forward
- Fish are hung on a spring scale to determine their mass (most fishermen feel no obligation to report the mass truthfully). (a) What is the force constant (in N/m) of the spring in such a scale if it stretches 8.40 cm for a 13.0 kg load? N/m (b) What is the mass (in kg) of a fish that stretches the spring 5.50 cm? kg (c) How far apart (in mm) are the half-kilogram marks on the scale? mm Additional Materials O Reading 2. [-/2 Points] DETAILS OS 05. MY When a 66.8 kg man stands on a pogo stick, the spring is compressed 0.174 m. (a) What is the force constant of the spring? (Enter your answer in N/m.) N/m (b) Will the spring be compressed more when he hops down the road? O Yes MacBook Air F2 E3 D00 F4arrow_forwardAn 8 kg block attached to a spring with a spring constant of 7 N/m oscillates horizontally on a frictionless table. Its velocity is 1 m/s when x0 = -0.25 m. What is the block's position when the acceleration is maximum (in meters)?arrow_forwardAn ideal spring hangs vertically. When a 359- g object is hung from the bottom end, and lowered gently, the spring stretches 6.23cm. How much would the spring have stretched, in cm, if the mass of the object had been 601 g instead ?arrow_forward
- A hanging scale works because the length a spring stretches is directly proportional to the weight pulling down on the spring. These scales are commonly used in grocery stores. You are shopping for bananas and see that they are on sale for $0.29 a pound. When you weigh the bananas, the scale reads 2.40 pounds (1.09 kg). If the bananas cause the spring to stretch 2.30 cm, what is the spring constant of the spring found in the scale?arrow_forwardThe force required to slowly stretch a spring varies from 0 n to 296 N as the spring is extended by 15 cm from its unstressed length. What is the force constant of the spring?arrow_forwardWhen a 2.90-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 2.74 cm. (a) What is the force constant of the spring? 1037.226 N/m (b) If the 2.90-kg object is removed, how far will the spring stretch if a 1.45-kg block is hung on it? 2.74 x Your response differs from the correct answer by more than 10%. Double check your calculations. cm (c) How much work must an external agent do to stretch the same spring 7.50 cm from its unstretched position? 3.747 Your response differs from the correct answer by more than 10%. Double check your calculations. Jarrow_forward
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