471 N/m A spring 1.50 m long with force constant 471 N/m is hung from the ceiling of an elevator, and a block of mass 14.1 kg is attached to the bottom ofthe spring.(a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (Enter the magnitude only.)m(b) If the elevator subsequently accelerates upward at 1.84 m/s2, what is the position of the block, taking the equilibrium position found inpart (a) as y = 0 and upwards as the positive y-direction. (Indicate the direction with the sign of your answer.)m(c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. Whatis the amplitude of its motion?m

Given data, Mass m=14.1 kg Spring Constant k=471 N/m Acceleration a=1.84 m/s2

A spring 1.50 m long with force constant 471 N/m is hung from the ceiling of an elevator, and a block of mass 14.1 kg is attached to the bottom of the spring. (a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (Enter the magnitude only.) m (b) If the elevator subsequently accelerates upward at 1.84 m/s², what is the position of the block, taking the equilibrium position found in part (a) as y = 0 and upwards as the positive y-direction. (Indicate the direction with the sign of your answer.) (c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. What is the amplitude of its motion? m

A spring 1.50 m long with force constant 471 N/m is hung from the ceiling of an elevator, and a block of mass 14.1 kg is attached to the bottom of the spring. (a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (Enter the magnitude only.) m (b) If the elevator subsequently accelerates upward at 1.84 m/s², what is the position of the block, taking the equilibrium position found in part (a) as y = 0 and upwards as the positive y-direction. (Indicate the direction with the sign of your answer.) (c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. What is the amplitude of its motion? m

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter5: Newton's Laws Of Motion

Section: Chapter Questions

Problem 44PQ: A student working on a school project modeled a trampoline as a spring obeying Hookes law and...

See similar textbooks

Similar questions

When a 4.25-kg object is placed on top of a vertical spring, the spring compresses a distance of 2.62 cm. What is the force constant of the spring?
When an 80.0-kg man stands on a pogo stick, the spring is compressed 0.120 m. (a) What is the force constant of the spring? (b) Will the spring be compressed more when he hops down the road?
A spring 1.50 m long with force constant 428 N/m is hung from the ceiling of an elevator, and a block of mass 13.1 kg is attached to the bottom of the spring. (a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (Enter the magnitude only.) (b) If the elevator subsequently accelerates upward at 1.95 m/s², what is the position of the block, taking the equilibrium position found in part (a) as y : O and upwards as the positive y-direction. (Indicate the direction with the sign of your answer.) m (c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. What is the amplitude of its motion? m
A spring 1.50 m long with force constant 442 N/m is hung from the ceiling of an elevator, and a block of mass 13.3 kg is attached to the bottom of the spring. (a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (Enter the magnitude only.) m(b) If the elevator subsequently accelerates upward at 1.56 m/s2, what is the position of the block, taking the equilibrium position found in part (a) as y = 0 and upwards as the positive y-direction. (Indicate the direction with the sign of your answer.) ?m(c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. What is the amplitude of its motion? ?m
The force constant of a spring is 129 N/m. (a) Find the magnitude of the force required to compress the spring by 4.10 cm from its unstretched length. N (b) Find the magnitude of the force required to stretch the spring by 7.24 cm from its unstretched length.
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 vertical spring has a force constant of 150 N/m. By how much will the spring be compressed if a mass 1.30 kg is placed on top of it?
A child’s toy consists of plastic attached to a spring. The spring is compressed against the floor at a distance of 2.69 cm, and the toy is released. The acceleration of gravity is 9.8 m/s2. If the toy has a mass of 115 g and rises to a maximum height of 64.5 cm, estimate the force constant of the spring in N/m.
An ideal spring hangs vertically. When a 359- g object is hung from the bottom end, and lowered gently, the spring stretches 6.23cm. How much would the spring have stretched, in cm, if the mass of the object had been 601 g instead ?
An ideal spring hangs vertically. When a 453 g object is hung from the bottom end, and lowered gently, the spring stretches 5.58 cm. How much would be the spring have stretched, in cm, if the mass of the object had been 560 g instead? x'=?
A spring 1.50 m long with force constant 471 N/m is hung from the ceiling of an elevator, and a block of mass 14.1 kg is attached to the bottom of the spring. (a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (Enter the magnitude only.) 0.29 m (b) If the elevator subsequently accelerates upward at 1.84 m/s2, what is the position of the block, taking the equilibrium position found in part (a) as y = 0 and upwards as the positive y-direction. (Indicate the direction with the sign of your answer.) 0.054 X Your response differs from the correct answer by more than 10%. Double check your calculations. m (c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. What is the amplitude of its motion? 0.35 m
A spring 1.50 m long with force constant 475 N/m is hung from the ceiling of an elevator, and a block of mass 10.0 kg is attached to the bottom of the spring. (a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (b) If the elevator subsequently accelerates upward at 2.00 m/s2, what is the position of the block, taking the equilibrium position found in part (a) as y = 0 and upwards as the positive y - direction. (c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. What is the amplitude of its motion?