- ma bungee jump, a person is strapped to a rope that can stretch somewhat slowly so that their descent is safely slowed (so the rope acts as ONE GIANT elastic spring). Assume the rope has a SPRING CONSTANT of 45.3 N/m, and the jumper was 67.5 kg. a) if the MAXIMUM allowable NET ACCELERATION on the rider is 19.82 m/s, how far will the rope stretch (x), and what TENSION FORCE (F,) is that develops in the rope? (HINT: a Free-Body Diagram might help here) C214) b) How fast was the jumper travelling before the rope started stretching? (Think CONSERVATION OF ENERGY)

- ma bungee jump, a person is strapped to a rope that can stretch somewhat slowly so that their descent is safely slowed (so the rope acts as ONE GIANT elastic spring). Assume the rope has a SPRING CONSTANT of 45.3 N/m, and the jumper was 67.5 kg. a) if the MAXIMUM allowable NET ACCELERATION on the rider is 19.82 m/s, how far will the rope stretch (x), and what TENSION FORCE (F,) is that develops in the rope? (HINT: a Free-Body Diagram might help here) C214) b) How fast was the jumper travelling before the rope started stretching? (Think CONSERVATION OF ENERGY)

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 32P: Fish are hung on a spring scale to determine their mass. (a) What is the force constant of the...

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Similar questions

(a) The springs of a pickup truck act like a single spring with a force constant of 1.30105 N/m . By how much will the truck be depressed by its maximum load of 1000 kg? (b) If the pickup truck has four identical springs, what is the force constant of each?
Consider the position data for the block given in Table P16.59. What are the signs of the blocks velocity and acceleration at the first five times listed?
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Fish are hung on a spring scale to determine their mass. (a) What is the force constant of the spring in such a scale if it the spring stretches 8.00 cm for a 10.0 kg load? (b) What is the mass of a fish that stretches the spring 5.50 cm? (c) How far apart are the half-kilogram marks on the scale?
When an 80.0-kg man stands on a pogo stick, the spring is compressed 0.120 m. (a) What is the force constant of the spring? (b) Will the spring be compressed more when he hops down the road?
A spring 1.50 m long with force constant 475 N/m is hung from the ceiling of an elevator, and a block of mass 10.0 kg is attached to the bottom of the spring. (a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (b) If the elevator subsequently accelerates upward at 2.00 m/s2, what is the position of the block, taking the equilibrium position found in part (a) as y = 0 and upwards as the positive y-direction. (c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. What is the amplitude of its motion?
A spring 1.50 m long with force constant 475 N/m is hung from the ceiling of an elevator, and a block of mass 10.0 kg is attached to the bottom of the spring. (a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (b) If the elevator subsequently accelerates upward at 2.00 m/s2, what is the position of the block, taking the equilibrium position found in part (a) as y = 0 and upwards as the positive y-direction. (c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. What is the amplitude of its motion?
A particle of mass m moving in one dimension has potential energy U(x) = U0[2(x/a)2 (x/a)4], where U0 and a are positive constants. (a) Find the force F(x), which acts on the particle. (b) Sketch U(x). Find the positions of stable and unstable equilibrium. (c) What is the angular frequency of oscillations about the point of stable equilibrium? (d) What is the minimum speed the particle must have at the origin to escape to infinity? (e) At t = 0 the particle is at the origin and its velocity is positive and equal in magnitude to the escape speed of part (d). Find x(t) and sketch the result.
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A 1.50-kg mass is attached to a spring with spring constant 33.0 N/m on a frictionless, horizontal table. The springmass system is stretched to 4.00 cm beyond the equilibrium position of the spring and is released from rest at t = 0. a. What is the maximum speed of the 1.50-kg mass? b. What is the maximum acceleration of the 1.50-kg mass? c. What are the position, velocity, and acceleration of the 1.50-kg mass as functions of time?
(a) If frequency is not constant for some oscillation, can the oscillation be SHM? (b) Can you think of any examples of harmonic motion where the frequency may depend on the amplitude?
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