6. A spring that has a force constant of 1200 N/m is mounted vertically on the ground. A block of mass 1.25 kg is dropped from rest from height of 1.30 m above the free end of the spring. By what distance does the spring compress?

6. A spring that has a force constant of 1200 N/m is mounted vertically on the ground. A block of mass 1.25 kg is dropped from rest from height of 1.30 m above the free end of the spring. By what distance does the spring compress?

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)...

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A car with mass 1530 kg crashes into a wall. The car’s velocity immediately before the collision was 12.6 m/s and the bumper is compressed like a spring with spring constant 1.14 × 107 N/m. What is the maximum deformation of the bumper for this collision?Answer in units of m.
9. A vertically mounted spring (k = 900 N/m) is compressed by 24.0 cm relative to its unstrained length. A mass (m = 0.22 kg) is placed at rest against the spring. When the spring is released, the mass is launched vertically in the air. What is the speed of the mass (m) when it passes by a point located 9.02 m above the release point? m/s
2. Maria and Rory are using a spring launcher to move a 125 g block to the top of a ramp. The spring launcher is at the base of the ramp and consists of a platform and a spring with a force constant of 420 N/m. The horizontal surface at the base of the ramp is smooth and frictionless. They compress the spring by 0.12 m with the block resting against the spring launcher. Once they let go, the block travels up the 1.4 m ramp and comes to rest at the top of the ramp. The top of the ramp is 1.0 m above the ground. Ramp Experiment Ad= 1.4 m smooth frictionless surface What is the average frictional force acting on the block as it moves up the ramp? Ah=1.0 m
4.
1. Consider the setup shown below: a block with mass m; sits on a table with friction coefficient u between the table and itself, attached on one side to a spring with stiffness k, and on the other side to a cord with negligible mass that wraps over a frictionless pully and supports a second block with mass m2 that's suspended in the air over the edge of the table. The friction between block 1 and the table is not enough to hold up block 2 so that, when it's released from rest, the spring stretches a distance Ax before the system comes to rest. a. Draw and label a free-body diagram for each block. (Use the gridlines to make sure that the relative lengths of your vector arrows are correct.) k m1 block 1: block 2: m2 b. What is the kinetic friction coefficient between block 1 and the table?
Your doctor has told you to watch your weight. Of course, your weight comprises two factors, so you assume that she wants you to watch both your mass and the local value of g. Which explains why you are carrying a small mass mm on an elastic band wherever you go. Most of the time, the elastic band is stretched by a distance of 2.1 cm. However, when you have finished lunch, you go into a very tall building and take the high speed lift (or elevator depending on where you live). Soon after the doors close, you notice that the band (which has linear elastic properties) is stretched by a total distance of 3.5 cm. a) At what rate is the lift accelerating? _____ m.s−2 b) Your doctor will want to know the factor by which your weight has increased after that lunch. Suppose that you stand on scales in the lift while it is accelerating as described above. According to the scales, your weight has increased by a factor of _____ My answers are a)6.6 and b)1.67 but they're wrong.
10
A 70 kg stunt- woman falls off a bridge and travels 29.0 before colliding with a pile of mattresses. The mattresses are compressed 1.00 m before she is brought to rest. Calculate the magnitude of the average force exerted by the mattresses on the stunt-woman.
5. Two 8.5 kg masses are hung from a horizontal surface by two (massless) springs, as shown in the figure. The top spring has a spring constant of 400 N/m, and the bottom spring has a spring constant of 200 N/m. How long is each spring in this configuration if they both have rest lengths of 6.0 cm?
3. Before: mi vi After: m2 Ax (mm) I coul m₁+m2 a) Measurements on a spring reveal that a force of 0.75 N will compress the spring by 0.25 cm. Find the spring constant of this spring, k. b) This spring is now mounted horizontally with a block of wood attached to one end. A bullet with mass m₁=0.008 kg and velocity v, is fired horizontally into the block of wood. The wood block has mass m₂=0.992 kg and is initially at rest. The bullet embeds itself in the wood and the spring is compressed by 2 cm before it comes to rest momentarily. c) Find the velocity of the block/bullet combination directly after the collision needed to compress this spring by Ax=2 cm. d) Find the initial velocity of the bullet before the collision, V₁. Hint: Is the collision elastic or inelastic?
3. An overloaded elevator has a total mass of 1457 kg. Despite of friction force upward with magnitude of 13,000 N and tension, the elevator is moving with constant speed of 13.72 m/s. At the bottom of the shaft is a cushioning spring which is then compressed for 3 m to stop the elevator. Find the force constant of the spring. Please answer correctly, comprehensively, and completely. Because based on experience, some expert answers were wrong. Thank you.
38. The work done to compress a spring of modulus of elasticity 4 N to half its original length is 1,2 3. The natural length of the spring is A 0.8 m B 0.3 m C 4.8 m D 2.4 m erev