Concept explainers
The length of nylon rope from which a mountain climber is suspended has a force constant of
(a) What is the frequency at which he bounces, given his mass plus and me mass of his equipment are 90.0 kg?
(b) How much would this rope stretch to break the climber’s fall if he tree−falls 2.00 m before the rope runs out of slack?
Hint: Use conservation of energy.
(c) Repeat both parts of this problem in the situation where twice this length of nylon rope is used.
Trending nowThis is a popular solution!
Chapter 16 Solutions
College Physics
Additional Science Textbook Solutions
University Physics Volume 1
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Conceptual Physics (12th Edition)
Essential University Physics: Volume 2 (3rd Edition)
College Physics: A Strategic Approach (4th Edition)
- The length of nylon rope from which a mountain climber is suspended has an effective force constant of 1.40104 N/m . (a) What is the frequency at which he bounces, given his mass plus and the mass of his equipment are 90.0 kg? (b) How much would this rope stretch to break the climber’s fall if he free-falls 2.00 m before the rope runs out of slack? (Hint: Use conservation of energy.) (c) Repeat both parts of this problem in the situation where twice this length of nylon rope is used.arrow_forwardSome people think a pendulum with a period of 1.00 s can be driven with “mental energy” or psycho kinetically, because its period is the same as an average heartbeat. True or not, what is the length of such a pendulum?arrow_forwardFind the ratio of the new/old periods of a pendulum if the pendulum were transported from Earth to the Moon, where the acceleration due to gravity is 1.63 m/s2.arrow_forward
- Two parakeets sit on a swing with their combined CMs 10.0 cm below the pivot. At what frequency do they swing?arrow_forwardIf a pendulum-driven clock gains 5.00 s/day, what fractional change in pendulum length must be made for it to keep perfect time?arrow_forwardA pendulum with a period of 2.00000 s in one location (g=9.80m/s2) is moved to a new location where the period is now 1.99796 s. What is the acceleration due to gravity at its new location?arrow_forward
- Find the frequency of a tuning fork that takes 2.50103 s to complete one oscillation.arrow_forwardIf a car has a suspension system with a force constant of 5.00104N/m, how much energy must me car‘s shocks remove to dampen an oscillation stating with a maximum displacement of 0.0150 m?arrow_forwardA diver on a diving board is undergoing SHM. Her mass is 55.0 kg and the period of her motion is 0.800 s. The next diver is a male whose period of simple harmonic oscillation is 1.05 s. What is his mass if the mass of the board is negligible?arrow_forward
- Can this analogy of SHM to circular motion be carried out with an object oscillating on a spring vertically hung from the ceiling? Why or why not? If given the choice, would you prefer to use a sine function or a cosine function to model the motion?arrow_forwardCheck Your Understanding Why are completely undamped harmonic oscillators so rare?arrow_forwardShow that the time rate of change of mechanical energy for a damped, undriven oscillator is given by dE/dt = bv2 and hence is always negative. To do so, differentiate the expression for the mechanical energy of an oscillator, E=12mv2+12kx2, and use Equation 15.51.arrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning