What is the frequency (in Hz) at which he bounces, given that his mass plus the mass of his equipment is 74.0 kg? 2.14 Hz How much would this rope stretch (in cm) to break the climber's fall if he free-falls 2.00 m before the rope runs out of slack? Hint: Use conservation of e 52.25 cm Repeat both parts of this problem in the situation where twice this length of nylon rope is used. frequency (in Hz) Hz stretch length (in cm) cm

What is the frequency (in Hz) at which he bounces, given that his mass plus the mass of his equipment is 74.0 kg? 2.14 Hz How much would this rope stretch (in cm) to break the climber's fall if he free-falls 2.00 m before the rope runs out of slack? Hint: Use conservation of e 52.25 cm Repeat both parts of this problem in the situation where twice this length of nylon rope is used. frequency (in Hz) Hz stretch length (in cm) cm

Name: The length of nylon rope from which a mountain climber is suspended h
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: The length of nylon rope from which a mountain climber is suspended has a force constant of 1.34 × 10ª N/m.(a)What is the frequency (in Hz) at which he bounces, given that his mass plus the mass of his equipment is 74.0 kg?2.14Hz(b)How much would th

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: 10. A uniform rope iš šuspendéd from the ceiling with the help of a spring. The lower end of the…

Q: A spring hangs from the ceiling with an unstretched length of xo = 0.97 m. A m = 7.5 kg block is…

A: The restoring force of the spring is given by, Here, k denotes the spring constant and x denotes…

Q: Given: 4y"+12y'+13y=0; y(0)=1; y'(0)=-1 A) Find the answer in amplitude form. B) Find time in which…

Q: The length of nylon rope from which a mountain climber is suspended has a force constant of 1.40×104…

Q: If the energy is 6.25 J and the max velocity is 2.89 m/s, find the equation for displacement…

A: It is given that at t = 0, x = A. This means the form of the displacement equation would be like…

Q: A 10.0- g bullet is fired into, and embeds itself in, a 2.00- kg block attached to a spring with a…

A: Given,

Q: he length of nylon rope from which a mountain climber is suspended has a force constant of 1.7 × 104…

A: a. the frequency of given system is f=12πkm=12π1.7×104 N/m98 kg=2.09 Hz

Q: 8) A spring is stretched 10 cm by a force of 3 N. A mass of 2 kg is hung from the spring and is…

A: The force applied of the spring: The stretching distance of the spring: The mass attached to the…

Q: A 1.50 kg mass on a spring has displacement as a function of time given by the equation. x(t) =…

Q: The average speed of a Greyhound bus from Lansing to Detroit is 105.5 km/h. On the return trip from…

A: Given that, the speed of the bus from Lansing to Detroit is u=105.5km/h And the speed of the bus…

Q: 14. GP Review. A 65.0-kg bungee jumper steps off a bridge with a light bungee cord tied to her body…

Q: Chapter 16: Problem 10: Suppose a 82.5 kg person is bouncing on a bathroom scale which has a force…

A: Given:mass of the person Force constant The amplitude of the bounce To find the maximum velocity of…

Q: A spring is such that a 4-lb weight stretches it 6 in. An impressed force ; Ecos8t is acting on the…

A: There is no damping in this case. The spring, however, is being acted upon by an impressed force cos…

Q: 37. (a)What is the maximum velocity of an 85.0-kg person bouncing on a bathroom scale having a force…

A: Solution:-Given thatMass of person (m)=85 kgForce constant (k)=1.5×106 N/mAmplitude of bounce (x)…

Q: A spring has a length of 0.298 m when a 0.300 kg mass hangs from it, and a length of 0.750 m when a…

Q: A spring of negligible mass stretches 3.46 cm from its relaxed length when a force of 5.40 N is…

A: The applied force F = 5.4 N. The particle’s mass is m = 0.8 kg. The amplitude A = 5 cm = 0.05 m. The…

Q: A grandfather clock uses a pendulum with period (2.1000x10^0) s to keep time. In one such clock, the…

A: Given: period T = 2.10*100 smass m=1.30*102 gmdisplaced s = 2.87*101 mm

Q: Harmonic Oscillator: A 0.40-kg object is attached to a spring with force constant 100 N/m so that…

Q: A spring hangs from the ceiling with an unstretched length of xo = 0.61 m. A m = 7.1 kg block is…

Q: FInd the full derivation of the two equations below solving the expression for the velocity of the…

A: From the conservation of momentum and energy, the expression for the velocity can be found out.

Q: What will be the frequency of oscillation (in Hz) of a mass-spring system whose spring has an…

A: Given data The elastic constant of the spring is k = 78.2 N/m The mass of the system is m = 486.9 g…

Q: The length of nylon rope from which a mountain climber is suspended has a force constant of 1.48 ✕…

Q: 200-g mass vibrates horizontally without friction at the end of a horizontal spring for which k=7.0…

A: Given: The mass of the object is 200 g = 0.2 kg. { 1 g…

Q: 12 of 51 = 1. What if the block were released from the same initial position, Xo = 5 cm, but with an…

Q: The length of nylon rope from which a mountain climber is suspended has a force constant of 1.40×104…

A: (a) The force constant is, The mass of the equipment is, The frequency of the system can be given…

Q: A mass of 8.5 kg is attached to a spring with the spring constant 30.0 N-m¹ and is placed on a…

A: spring constant (k) = 30 Nm mass (m) = 8.5 kg compression (d) = 0.03 m

Q: A spring in a toy gun has a spring constant of 9.80 N/m and can be compressed 20.0 cm beyond the…

A: a) From the conservation of total energy at equilibrium and turning position,

Q: Two parakeets sit on a swing with their combined center of mass 8.00 cm below the pivot. At what…

A: The expression for the frequency,

Concept explainers

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.

Topic Video

Question

The length of nylon rope from which a mountain climber is suspended has a force constant of 1.34 × 10ª N/m.
(a)
What is the frequency (in Hz) at which he bounces, given that his mass plus the mass of his equipment is 74.0 kg?
2.14
Hz
(b)
How much would this rope stretch (in cm) 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.
52.25
cm
(c)
Repeat both parts of this problem in the situation where twice this length of nylon rope is used.
frequency (in Hz)
Hz
stretch length (in cm)
cm

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A 66.0-kg bungee jumper steps off a bridge with a light bungee cord tied to her and to the bridge. The unstretched length of the cord is 12.0 m. The jumper reaches reaches the bottom of her motion 35.0 m below the bridge before bouncing back. We wish to find the time interval between her leaving the bridge and her arriving at the bottom of her motion. Her overall motion can be separated into an 12.0-m free-fall and a 23.0-m section of simple harmonic oscillation. (a) For the free-fall part, what is the appropriate analysis model to describe her motion. O particle under constant angular acceleration O particle under constant acceleration O particle in simple harmonic motion (b) For what time interval is she in free-fall? (c) For the the simple harmonic oscillation part of the plunge, is the system of the bungee jumper, the spring, and the Earth isolated or non-isolated? O isolated O non-isolated (d) From your response in part (c) find the spring constant of the bungee cord. N/m (e) What…
*23. o mmh A vertical spring (spring constant = 112 N/m) is mounted on the floor. A 0.400-kg block is placed on top of the spring and pushed down to start it oscillating in simple harmonic motion. The block is not attached to the spring. (a) Obtain the frequency (in Hz) of the motion. (b) Determine the amplitude at which the block will lose contact with the spring.
The position of a mass that is oscillating on a spring is given by x = (12.3 cm) cos[(1.26 s¯¹)t]. What is the velocity of the mass when t = 0.845 s? O none of the above O 13.6 cm/s O 7.51 cm/s O 0 cm/s O -13.6 cm/s O -7.51 cm/s
A pendulum, consisting of a 2.5 kg mass attached to a 6.0 m string of negligible mass, is suspended from the ceiling and swung. The mass has a speed of 9.5 ms−1 when it passes its lowest point. i) Calculate the speed when the pendulum is at 60.0◦to the vertical. ii) Calculate the greatest angle with respect to the vertical that the string will reach duringthe motion.
The displacement of an object is described by the following equation: x = 0.88 sin (3.4 t) What is the amplitude, frequency, and period of the object?
A 0.500 kg cart is attached to a light spring with a spring constant of 20.0 N/m. If the cart is displaced 3.00 cm from the equilibrium position and released, calculate a) the period of vibration, and b) the velocity when the cart is 2.00 cm from the equilibrium position.
A large motor in a factory causes the floor to vibrate at a frequency of 10 Hz. The amplitude of the floor’s motion near the motor is about 3.0 mm. Estimate the maximum acceleration of the floor near the motor.
Mice have a leg length of about 17 mm. IF we assume that they have a walking gait, what would their natual speed of walking be using our pendulum model? O 5 cm/s O 13 cm/s O 19 cm/s O 24 cm/s O 27 cm/s O 35 cm/s
What is the maximum velocity (in m/s) of a 51.0 kg person bouncing on a bathroom scale having a force constant of 1.35 ✕ 105 N/m if the amplitude of the bounce is 0.200 cm?
One kind of cuckoo clock keeps time by using a mass bouncing on a spring, usually something cute like a cherub in a chair. What is the spring constant, in newtons per meter, needed to produce a period of 0.325 s for a 0.011-kg mass on the spring?
(a)What is the maximum velocity of an 85.0-kg person bouncing on a bathroom scale having a force constant of 1.50X106 N/m, if the amplitude of the bounce is 0.200 cm? (b)What is the maximum energy stored in the spring?
A spring has a length of 0.298 m when a 0.300 kg mass hangs from it, and a length of 0.750 m when a 3.12 kg mass hangs from it. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.) (a) What is the force constant of the spring? (Use 9.8 m/s2 for g.) (b) What is the unloaded length of the spring?