6 A 200-g block connected to a light spring for which the force constant is 5.00 N/m is free to oscillate on a frictionless, horizontal surface. The block is displaced 5.00 cm from equilibrium and released from rest. (a) Find the period of its motion. (b) Determine the maximum speed of the block (c) What is the maximum acceleration of the block? (d) Express the position, velocity, and acceleration as functions of time in SI units.
6 A 200-g block connected to a light spring for which the force constant is 5.00 N/m is free to oscillate on a frictionless, horizontal surface. The block is displaced 5.00 cm from equilibrium and released from rest. (a) Find the period of its motion. (b) Determine the maximum speed of the block (c) What is the maximum acceleration of the block? (d) Express the position, velocity, and acceleration as functions of time in SI units.
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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Transcribed Image Text:6
A 200-g block connected to a light spring for which the force constant is 5.00 N/m is free to oscillate on
a frictionless, horizontal surface. The block is displaced 5.00 cm from equilibrium and released from
rest.
(a) Find the period of its motion.
(b) Determine the maximum speed of the block
(c) What is the maximum acceleration of the block?
(d) Express the position, velocity, and acceleration as functions of time in SI units.
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Transcribed Image Text:12 of 51
=
-0.1 m/s?
Vo
1. What if the block were released from the same initial position,
хо
5 cm, but with an initial velocity of
Which parts of the solution change, and what are the new
answers for those that do change?
2. Consider again the block-spring system in the last slide, whose
position, velocity, and acceleration are given in part (d) of the
problem. Find a general expression for all times at which the
1
block is located at x =
A.
2
=
3. Suppose we measure the speed of the block at the instants
found in the problem. At these instants, will the speed of the
block be half the maximum speed?
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