A package is fastened to the lower end of a light vertical spring and rests on a table. The package has a mass M and the upper end of the spring is fastened to a block of mass m. The upper block is pushed down by an additional force 3mg, so the spring compression is 4mg. In this configuration, the upper block is released from rest. The spring lifts the lower block off the table. What is the ratio of M/m that yields the greatest possible value for M? k m

A package is fastened to the lower end of a light vertical spring and rests on a table. The package has a mass M and the upper end of the spring is fastened to a block of mass m. The upper block is pushed down by an additional force 3mg, so the spring compression is 4mg. In this configuration, the upper block is released from rest. The spring lifts the lower block off the table. What is the ratio of M/m that yields the greatest possible value for M? k m

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

A 3.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.300 m by a large spring bumper at the end of its track. What is the force constant k of the spring (in N/m)?
A block of mass 11.0 kg slides from rest down a frictionless 36.0° incline and is stopped by a strong spring with k = 2.30 ✕ 104 N/m. The block slides 3.00 m from the point of release to the point where it comes to rest against the spring. When the block comes to rest, how far has the spring been compressed?
A block is dropped onto a spring with k = 34 N////m. The block has a speed of 3.0 m/s just before it strikes the spring. If the spring compresses an amount 0.14 m before bringing the block to rest, what is the mass of the block? Answer in kg.
A 0.100 kg block of ice is placed against a horizontal, compressed spring mounted on a horizontal tabletop that is 1.50 m above the floor. The spring has force constant 2000 N/m and is initially compressed 0.045 m. The mass of the spring is negligible. The spring is released, and the block slides along the table, goes off the edge, and travels to the floor. If there is negligible friction between the block of ice and the tabletop, what is the speed of the block of ice when it reaches the floor?
A 3.00 ✕ 105 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 constant k of the spring? N/m
A block of mass 3.1 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 490 N/m (refer to the figure). The angle of the ramp with respect to the horizontal is 29°. The block, starting from rest, slides down the ramp a distance 79 cm before hitting the spring. How far, in centimeters, is the spring compressed as the block comes to momentary rest?
Textbook Question Page 253, Question 3: A 250.0 kg elevator is moving down at 2.50 m/s when the cable breaks. The elevator falls 5.0 m onto a spring that has a spring constant of 7800 N/m. By how much will the spring compress when the elevator reaches a final velocity of zero?
A person accelerates a 12 kg mass at 2.7m/(s^2) by pulling on a spring that is 1.1 m long at rest. The coefficient of friction between the two surfaces is 0.2. L 3 If the spring extends to 1.35 m, what is the spring. constant k? k = 129.6N/m ? 0%
You place the spring vertically with one end on the floor. You then lay a 1.60 kg book on top of the spring and release the book from rest. Find the maximum distance the spring will be compressed.
A 5 kg block is attached to a spring of constant k = 2400 N/m. The coefficient of friction between the block and the ground is 0.4. Under its initial condition, a force F is applied to the block until the restoring force of the spring reaches 100 N. To reach its final condition, the applied force F is removed. Then, the block moves and the spring returns to its unstretched position. Use 9.81m/s^2 for the gravity. a) Using the formula Fspring=kx, determine the distance in meters of the block from its unstretched position until it has a restoring force of 100N. b)Determine the work done by friction in Joules from the initial position (stretched) to its final position (unstretched). c)If the total work done on the system is 1.2658 J, determine the final velocity of the block (by relating work and kinetic energy)
Problem 3: A brick of mass m = 0.28 kg is set against a spring with a spring constant of k1 = 627 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2 = 103 N/m. The brick is not connected to the first spring and may slide freely. Part (a) How far d2, in meters, will the second spring compress when the brick runs into it? Part (c) Now assume friction is present on the surface in between the ends of the springs at their equilibrium lengths, and the coefficient of kinetic friction is μk = 0.5. If the distance between the springs is x = 1 m, how far d2, in meters, will the second spring now compress?
A 3.00 kgkg block on a horizontal floor is attached to a horizontal spring that is initially compressed 0.0360 mm. The spring has force constant 845 N/mN/m. The coefficient of kinetic friction between the floor and the block is 0.420. The block and spring are released from rest and the block slides along the floor. What is the speed of the block when it has moved a distance of 0.0170 mm from its initial position? (At this point the spring is compressed 0.0190 mm.) Express your answer with the appropriate units.