A spring with spring constant 94 N/m and rest length 27.2 cm is used to pull a wooden block of weight 437 N horizontally across a tabletop at constant velocity. The coefficient of kinetic friction between the block and the table is 0.09, while the coefficient of static friction is 0.69. What is the length of the spring while it is pulling the block (in meters)?

A spring with spring constant 94 N/m and rest length 27.2 cm is used to pull a wooden block of weight 437 N horizontally across a tabletop at constant velocity. The coefficient of kinetic friction between the block and the table is 0.09, while the coefficient of static friction is 0.69. What is the length of the spring while it is pulling the block (in meters)?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section: Chapter Questions

Problem 29P

See similar textbooks

Similar questions

A vibration sensor, used in testing a washing machine, consists of a cube of aluminum 1.50 cm on edge mounted on one end of a strip of spring steel (like a hacksaw blade) that lies in a vertical plane. The strips mass is small compared with that of the cube, but the strips length is large compared with the size of the cube. The other end of the strip is clamped to the frame of the washing machine that is not operating. A horizontal force of 1.43 N applied to the cube is required to hold it 2.75 cm away from its equilibrium position. If it is released, what is its frequency of vibration?
An object is placed on the end of a vertical spring, with a spring constant of 484.1 N/m. The spring is stretched by 0.09 m. Calculate the mass of object.
To measure the static friction coefficient between a 1.40-kg block and a vertical wall, a spring (k = 770 N/m) is attached to the block, is pushed on the end in a direction perpendicular to the wall until the block does not slip downward (see figure). If the spring is compressed by 0.048 m, what is the coefficient of static friction?
A spring is 17 cm long when it is lying on a table. One end is attached to a hook and the other end is pulled by a force that increases to 25 N, causing the spring to stretch to a length of 19.cm. What is the force constant of this spring?
A force of 15.0 N is required to stretch a spring a distance of 5.20 cm. What is the force constant of the spring, in units of N/m?
A block on a frictionless horizontal surface is attached to a cable and a spring that is stretched 0.17 m. The block is in equilibrium (Fnet = 0) and the cable has a tension of 48 N. The normal force on the block is 57 N. What is the block's mass and the spring constant ?
To measure the static friction coefficient between a 4.50-kg block and a vertical wallI, the setup shown in the drawing is used. A spring (spring constant = 498 N/m) is attached to the block. Someone pushes on the end of the spring in a direction perpendicular to the wall until the block does not slip downward. If the spring in such a setup is compressed by 0.0466 m, what is the coefficient of static friction? Number i Units
A pulley-and-cable assembly supports a block W and it requires a force at P for equilibrium. Since block W has a mass of 30kg (g=9.806), calculate the force of the spring CD and the magnitude of force P.
A mass of 0.45 kg is attached to a hanging spring, stretching it to a length of 0.444 m. When a mass of 0.76 kg is attached to the spring, it stretches to a length of 0.647 m. What is the force constant of the spring?
To measure the static friction coefficient between a 4.96-kg block and a vertical wall, the setup shown in the drawing is used. A spring (spring constant = 491 N/m) is attached to the block. Someone pushes on the end of the spring in a direction perpendicular to the wall until the block does not slip downward. If the spring in such a setup is compressed by 0.0579 m, what is the coefficient of static friction? Number i Units m
A spring is attached to a block with a mass of 2.33 kg. The block is set on a rough horizonal surface, and you pull horizontally on the other end of the spring, steadily increasing the force. As soon as the spring stretches 0.126 m beyond its equilibrium length, you notice the block starts to move. If the spring constant is 75.8 N/m, what is the coefficient of static friction between the block and the surface?
An object attached to a spring is pulled across a horizontal frictionless surface. If the force constant (spring constant) of the spring is 28 N/m and the spring is stretched by 2 m when the object is accelerating at 8 m/s/s, what is the mass of the object?