A bumper, consisting of a nest of three springs, is used to arrest the horizontal motion of a large mass which is traveling at 62 ft/sec as it contacts the bumper. The two outer springs cause a deceleration proportional to the spring deformation. The center spring increases the deceleration rate when the compression exceeds 8 in. as shown on the graph. Determine the maximum compression x of the outer springs. Deceleration ft/sec 6000 4000 2000 x, in. 16 8 62 ft/sec Mececle

A bumper, consisting of a nest of three springs, is used to arrest the horizontal motion of a large mass which is traveling at 62 ft/sec as it contacts the bumper. The two outer springs cause a deceleration proportional to the spring deformation. The center spring increases the deceleration rate when the compression exceeds 8 in. as shown on the graph. Determine the maximum compression x of the outer springs. Deceleration ft/sec 6000 4000 2000 x, in. 16 8 62 ft/sec Mececle

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: A block of mass m = 2 kg is released from point A as shown in the figure. In the curved portion…

Q: 3. Three springs are connected in a series (head to toe) and an 867.6g mass is suspended from the…

Q: A mass weighting 64 lbs stretches a spring 6 inches. The mass is in a medium that exerts a viscous…

A: Main

Q: A pendulum passes x = 0 with a speed of 0.533 m/s; it swings out to A = 0.209 m. What is the period…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: With no one sitting on it, a certain mattress is .4 m tall. When a 778 N person sits on the…

Q: Questions 2-5 reference the picture of mass attached to a spring shown. The left most picture gives…

A: Given data: Position B is highest point of mass Position C is lowest point of mass

Q: What is the tension in cable AB? FAB = 100 N. . FAc = 120 N FaC 4 m 4 m CO 2 m (480î + 240ĵ – 480k)N

A: Given, The magnitude of forces in the cable which are holding a plate

Q: 4. A spring stretches 3.52 cm vertically when a 1.50 kg object is suspended from it. Find the…

A: Draw the free-body diagram of the object.

Q: A car with mass 1620 kg crashes into a wall. The car's velocity immediately before the collision was…

Q: The amount a string stretches varies linearly with the mass applied to the spring, as can be seen in…

Q: A spring suspended from a ceiling has a constant of 12 Ib/ft. An 8 lb weight is placed on the…

A: As we know, for a spring (F= k.x ) ----(1) Also, (F= m.a)…

Q: The figure shows two springs (k₁ = 10 N/m and k₂ 20 N/m) attached to a block that can slide on a…

A: Spring constant of left spring is Spring constant of right spring is Block is in equilibrium…

Q: find d, the depth of the well in meters.

A: Let us assume , that time taken for stone to travel to the surface of the water-well to be t1, &…

Q: A spider of mass 0.37 gram waits in its web of negligible mass. A slight movement causes the web to…

A: Given Mass of the spider is m=0.37g=0.37×10-3 kg Frequency of vibration is given as f=19 Hz We…

Q: Suppose a spring with a spring constant of 10 N/m is suspended vertically in an oil with a…

A: The equation that describes the motion of the system is given by:where: m = mass of the object (3…

Q: A vibrating spring supports a mass of 200 g and vibrates at frequency 3.95 Hz. If we replace this…

Q: Lighter Ball

Q: A spring was fired from a spring pistol, the mass of which is 5 g. Spring stiffness k = 1.25 kN/m.…

A: From conservation of energy, the expression for the required speed of the bullet is,

Q: 1. The force exerted by a linear spring is proportional to the displacement from its rest length (F…

A: Given, spring constant k=2.1×105 N/mcompressed distance =2.0cm

Q: An ideal spring with spring constant 355 N/m is compressed from its unstrained position by a force…

Q: Feeling crafty/lazy, Dr. L. (mass M) wants to get up the hill without any running involved. He…

Q: If you attach a 2 kg mass to a vertical spring with a spring constant of 1476 N/m, what is the…

A: The hanging mass is, m=2 kg The spring constant is, k=1476 N/m

Q: 17 a) A student finds following values from graph between M and x in the static method of…

Q: The 15-kg block A has a velocity = 15 m/s when it is s = 4 m from the 10-kg block B as shown in…

A: Mass of block A=15kg Mass of block B=10 Initially velocity of block A=15m/s Coefficient of kinetic…

Q: Jum The mass of the block depicted in the image is 2.94 kg. The spring has a spring constant of 77.2…

Q: A mass with a weight (Fg) of 8360.0 N is hanging on a spring at rest. If the spring constant is k =…

Q: 10. A pendulum has a bob with a mass of 0.077 kg. The bob reaches a maximum speed of 0.60 m/s.…

A: Given that, Mass of the Bob, m= 0.077 kg, Maximum speed of the bob, v=0.60 m/sHere we have to find…

Q: A mass weighting 56 lbs stretches a spring 8 inches. The mass is in a medium that exerts a viscous…

Q: If you replace the spring system with a single spring, determine the K of it if each springing has…

A: In the last section there are 4 springs in parallel and the value of each spring constant = 330…

Q: A 55 kg bungee jumper leaps from a bridge. She is tied to a bungee cord that is 13 m long when…

Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

A bumper, consisting of a nest of three springs, is used to arrest the horizontal motion of a large mass which is traveling at 62 ft/sec as
it contacts the bumper. The two outer springs cause a deceleration proportional to the spring deformation. The center spring increases
the deceleration rate when the compression exceeds 8 in. as shown on the graph. Determine the maximum compression x of the outer
springs.
Deceleration
ft/sec
6000
4000
2000
x, in.
16
8
62 ft/sec
Answer:x =
i
! in.

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 - Analyzing the Question

VIEW

Step 2 - Solving the Question

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 spring has a spring constant of 300 N/m. How much force is in the spring if it is stretched 0.25 m?
A 4.50 x 10^5 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.800 m By a large spring bumper at the end of its track. what is the force consistent K of the spring? n/m ? I used the ^ symbol to show exponent
In the first attempt, the spring is compressed by 10 cm and the ball falls 40 cm in front of the basket. How much must the spring be compressed in order for the ball to enter the basket in the second attempt?
3. A mass weighing 50 lb stretches a spring ft. This mass is removed and replaced with a mass of 2 slugs, which is released 4 ft. below the equilibrium position with a downward velocity of 25 ft./s. Express the solution in the form Asin(wt + o). What is the maximum displacement from the equilibrium position?
mg A student hangs a mass, m = 150 g on a spring of length L = 24 cm. The string %D stretches and reaches equilibrium when x = 5.6 cm. If the spring obeys Hooke's Law in this range, what is the spring constant? Give your answer in N/m to 3 sig figs (one decimal place in this case)
Q4/ A/ A seat attached to a spring from below. The spring of the scat will be pressed towards the ground to 65 mm by a person of 70 kg weight and then it is released. Calculate the elastic constant of the seat's spring, Knowing that the seat mass is 8.5 kg and its height at rest is 100 em above the ground.
Answer : (a) 472 J B) 2.76 kN
Natural length of spring is 60 cm and its spring constant is 4000 N/m. A mass of 20 kg is hung from it. The extension produced in the spring (take g=9.8m/s2) is? a) 4.9cm b) 0.49cm c) 9.4cm d) 0.94cm
Question 10 of 10 In experiment of an object suspended in vertical spring, if a student drops a group of masses from the natural length of the spring and each time measure the maximum distance that the masses reach and drew the relationship between the weights of the masses and the maximum expantion as shown in the graph. the the spring constant is: 00.5 N/m O50 N/m 01 N/m O100 N/m O 25 N/m mg(N) 10 x(cm) 15 20 tt = -
7. An Undamped spring mass system is used at a high efficient mixer. The Srping in the system as a spring consant of 30 pounds per foot. A container which weighs 10 pounds is placed on the spring. Thes sping mass system has a safety shut off when the mass moves beyond 1 ft. We want to acchieve a maximum amount of mixing with a external force which does not exceed 1 pound. a. What external driving force should we apply? b. At what time will the system trigger the automatic shut off? (Hint: zoom in on a plot)
3. Please provide full body diagram with explanation
A small insect of mass 0.25 g is caught in a spider's web. The web oscillates predominantly with a frequency of 2.70 Hz. What is the value of the effective spring stiffness constant k (in N/m) for the web? Type your answer correct to within two decimal places. Use a period (full stop) for a decimal place, eg. 500.00 - Do not use a comma or input your answer in some form of scientific notation. Do NOT include units in your answer. Type your answer.