Elevators have many safety features. In the extremely unlikely event that the multiple steel cables supporting the elevator carriage break and the emergency brakes fail to stop it, there is an oil filled piston at the bottom of the elevator shaft to cushion the landing. Model this piston as an ideal spring and assume that the 5,500 kg carriage is initially descending at 10 m/s when it contacts the spring (initially in equilibrium). The spring brings the carriage to rest over 2 m. Use conservation of energy to determine the spring constant. Assume the friction in the system is 4000 N. You need to consider the change in gravitational potential energy for this question.

Elevators have many safety features. In the extremely unlikely event that the multiple steel cables supporting the elevator carriage break and the emergency brakes fail to stop it, there is an oil filled piston at the bottom of the elevator shaft to cushion the landing. Model this piston as an ideal spring and assume that the 5,500 kg carriage is initially descending at 10 m/s when it contacts the spring (initially in equilibrium). The spring brings the carriage to rest over 2 m. Use conservation of energy to determine the spring constant. Assume the friction in the system is 4000 N. You need to consider the change in gravitational potential energy for this question.

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

Similar questions

Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by distance yo, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 4.80 x 10° N/m, the helper spring constant is 3.80 x 10° N/m, and Y. = 0.500 m. Truck body -"Helper" spring Main leaf spring Axle (a) What is the compression of the leaf spring for a load of 5.10 x 10° N? 0 81 (b) How much work is done in compressing the springs? 1 34 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. J Need Help? Read It
A box of mass 2.0 kg, traveling horizontally, hits an uncompressed spring with an initial velocity, Vo, and compresses the spring to a maximum distance of 0.05 meters (at the maximum distance the box stops). The value of the spring force constant is k= 50 N/m. There is no friction in the system. Use the work-energy theorem (chapter 6) to find the initial velocity, Vo, of the box.
A 0.90 kg brick compresses a spring 0.35 meters at point A and the spring has a spring constant of 75 N/m. How much elastic potential energy does the brick possess? A В hA = 0 he = 0 VA = 0 Vв > 0 A 3.20 Joules 984 Joules 4.59 Joules 675 Joules O O O O
The spring in a retractable ballpoint pen is 1.8 cm long, with a 320 N/m spring constant. When the pen is retracted, the spring is compressed by 1.0 mm. When you click the button to extend the pen, you compress the spring by an additional 5.0 mm. How much energy is required to extend the spring?
In the reality television show "Amazing Race," a contestant is firing 11 kg watermelons from a slingshot to hit targets down the field. The slingshot is stretched from its equilibrium length by a distance of 1.6 m, and the watermelon is at ground level, 0.4 m below the launch point. The targets are at ground level 11 m horizontally away from the launch point. Calculate the spring constant of the slingshot (in N/m). (Assume the angle that the watermelon's velocity makes with the horizontal at the launch point is the same as the angle the slingshot makes with the horizontal when pulled back. Also assume the equilibrium length of the slingshot is negligible.)
a spring bumper is used to bring a moving cart to rest. Suppose the cart has a mass of 100kg, and it's moving at a speed of 7m/s before it hits the spring. If the spring is compressed by 25cm, bringing the car to rest, what is the spring constant of the spring?
Spiderman uses his spider webs to save a runaway train moving about 80km/h . His web stretches a few city blocks (500m ) before the 10 power 4-kg train comes to a stop. Assuming the web acts like a spring, estimate the effective spring constant.
You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 10-m-high hill, then descends 17 m to the track's lowest point. You've determined that the spring can be compressed a maximum of 2.5 m and that a loaded car will have a maximum mass of 400 kg. For safety reasons, the spring constant should be 13% larger than the minimum needed for the car to just make it over the top. k = 1.4x104 Submit Part B m Previous Answers Correct Correct answer is shown. Your answer 14174 significant figures than required for this part. V = What is the maximum speed of a 360 kg car if the spring is compressed the full amount? Express your answer with the appropriate units. ► View Available Hint(s) μÅ m ? was either rounded differently or us Value Units ! You have already submitted this answer. Enter a new answer. No credit lost. Try again.
What should be the spring constant kk of a spring designed to bring a 1300 kg car to rest from a speed of 85 km/h so that the occupants undergo a maximum acceleration of 5.0gg? Express your answer using two significant figures.
The elastic energy stored in your tendons can contribute up to 35% of your energy needs when running. Sports scientists find that (on average) the knee extensor tendons in sprinters stretch 42 mm while those of nonathletes stretch only 35 mm. The spring constant of the tendon is the same for both groups, 33 N/mm. What is the difference in maximum stored energy between the sprinters and the nonathletes? Express your answer to two significant figures and include the appropriate units. ► View Available Hint(s) AU = μA Value N m
rest momentarily at the bottom when it compresses the spring by x = 0.20 m. The total distance the block travels along the incline is (d + x), where d = 1.00 m and x = 0.200 m. Determine the spring constant k. (Consider conservation of energy 'system'} A 30.0° frictionless inclined plane has a spring at the bottom. A block of mass m = 5.00 kg starts from rest at the top and comes to m. ww O 2,740 N/m O 1,470 N/m O 996 N/m O 3,950 N/m O 1,080 N/m
A 61-kg trampoline artist jumps upward from the top of a platform with a vertical speed of 4.2 m/s . How fast is he going as he lands on the trampoline, 2 m below? The answer is 7.5 m/s If the trampoline behaves like a spring of spring constant 5.1×104 N/m , how far does he depress it?Express your answer to two significant figures and include the appropriate units.