What should be the spring constant k of a spring designed to bring a 1420 kg...
What should be the spring constant k of a spring designed to bring a 1420 kg car to rest from a speed of 88 km/h so that the occupants undergo a maximum acceleration of 5.0 g?
Homework Answers
![Solution! acceleration a=50g a: 5x9. a = 49 mis U = 80km/h U = 885 U = 24.44 ms] Te v² = 4²+ 2ax 0 = (24.4) – 2x49xx x = (24.](http://img.homeworklib.com/questions/cc572680-ad5c-11eb-90fc-55be82eccf21.png?x-oss-process=image/resize,w_560)
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What should be the spring constant k of a spring designed to
bring a 1420 kg...
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Q2 Car bumpers are designed to limit the extent of damage to the car in the...
Q2 Car bumpers are designed to limit the extent of damage to the car in the case of low-velocity collisions. Consider a 1420 kg passenger car impacting a concrete barrier while traveling at a speed of 5.0 km/h. Model the car as a particle and consider two bumper models: (1) a simple linear spring with constant k and (2) a linear spring of constant k in parallel with a shock absorbing unit generating a nearly constant force Fs = 2000...
A mass m = 3 kg is attached to a spring with spring constant k =...
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5. A 0.1 kg mass is attached to a spring which has a spring constant k...
5. A 0.1 kg mass is attached to a spring which has a spring constant k = 20 N/mme initially stretched and released from rest. The mass continues to oscillate back and forth. a) If the spring is initially elongated 0.2m, what is the energy of the mass. The mass is released from rest. b) When the spring is elongated 0.15 m, what is the velocity of the mass? c) What is the maximum speed of the mass?
A 2 kg mass is attached to a spring and placed on a frictionless horizontal surface....
A 2 kg mass is attached to a spring and placed on a frictionless horizontal surface. A horizontal force of 20N is required to hold the mass at rest when it is displaced a distance x = 0.2m from the equilibrium position. The mass is released and allowed to undergo simple harmonic motion. a) Find the force constant k of the spring. b) Find the maximum speed of the mass. c) Find the speed of the mass when x =...
A 0.40-kg mass is attached to a spring with a force constant of k = 207...
A 0.40-kg mass is attached to a spring with
a force constant of k = 207 N/m, and the mass–spring
system is set into oscillation with an amplitude of A =
2.0 cm. Determine the following.
(a) mechanical energy of the system
_____ J
(b) maximum speed of the oscillating mass
_____ m/s
(c) magnitude of the maximum acceleration of the oscillating
mass
_____ m/s2
A 0.40-kg mass is attached to a spring with a force constant of k =...
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A device is being designed that can be modeled as a mass-spring system. The mass-spring constant ...
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A 0.4-kg glider attached to the end of an ideal spring with force constant k =...
A 0.4-kg glider attached to the end of an ideal spring with force constant k = 500 N/m, undergoes SHM with an amplitude of 0.050 m. Compute: (a) the maximum speed of the glider, in m/s; A 0.4-kg glider attached to the end of an ideal spring with force constant k = 500 N/m, undergoes SHM with an amplitude of 0.050 m. Compute: (b) the speed (not velocity) of the glider when it is at x = -2 CENTIMETERS, in...
* Amass of 2.0 kg is connected to a spring with a spring constant of 5.0...
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Q2 Car bumpers are designed to limit the extent of damage to the car in the case of low-velocity collisions. Consider a 1420 kg passenger car impacting a concrete barrier while traveling at a speed of 5.0 km/h. Model the car as a particle and consider two bumper models: (1) a simple linear spring with constant k and (2) a linear spring of constant k in parallel with a shock absorbing unit generating a nearly constant force Fs = 2000...
5. A 0.1 kg mass is attached to a spring which has a spring constant k = 20 N/mme initially stretched and released from rest. The mass continues to oscillate back and forth. a) If the spring is initially elongated 0.2m, what is the energy of the mass. The mass is released from rest. b) When the spring is elongated 0.15 m, what is the velocity of the mass? c) What is the maximum speed of the mass?
A 2 kg mass is attached to a spring and placed on a frictionless horizontal surface. A horizontal force of 20N is required to hold the mass at rest when it is displaced a distance x = 0.2m from the equilibrium position. The mass is released and allowed to undergo simple harmonic motion. a) Find the force constant k of the spring. b) Find the maximum speed of the mass. c) Find the speed of the mass when x =...
A 0.40-kg mass is attached to a spring with
a force constant of k = 207 N/m, and the mass–spring
system is set into oscillation with an amplitude of A =
2.0 cm. Determine the following.
(a) mechanical energy of the system
_____ J
(b) maximum speed of the oscillating mass
_____ m/s
(c) magnitude of the maximum acceleration of the oscillating
mass
_____ m/s2
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A device is being designed that can be modeled as a mass-spring system. The mass-spring constant is k - 10 g/sec2 and the damping coefficient is μ 20 g/sec. a. Now the mass is pulled down 5 cm from rest and given an upward velocity of 10 cm/sec. Determine the IVP describing the motion of the mass b. Solve the resulting DE from part a Sketch the graph of the motion. d. Find the maximum displacement of the mass once...
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