A particle moves along the x axis. It is initially at the postion 0.270 m, moving with velocity 0.230 m/s and acceleration -0.340 m/s2. Suppose it moves with constant acceleration for 4.20 s. (a) Find the position of the particle after this time. 1-1.76 (b) Find its velocity at the end of this time interval. | 2 -1.19 V m/s We take the same particle and give it the same initial conditions as before. Instead of having a constant acceleration, it oscillates in simple harmonic motion for 4.20 s around the equilibrium position x = 0. Hint: the following problems are ver sensitive to rounding, and you should keep all digits in your calculator. (c) Find the angular frequency of the oscillation. Hint: in SHM, a is proportional to x. 3 1.12 /s (d) Find the amplitude of the oscillation. Hint: use conservation of energy. 4 0.339 (e) Find its phase constant Po if cosine is used for the equation of motion. Hint: when taking the inverse of a trig function, there are always two angles but your calculator will tell you only one and you must decide which of the two angles you need. 5-64 rad (f) Find its position after it oscillates for 4.20 s. 6-0.2 (g) Find its velocity at the end of this 4.20 s time interval. Your response differs from the correct answer by more than 10%. Double check your calculations. m/s
A particle moves along the x axis. It is initially at the postion 0.270 m, moving with velocity 0.230 m/s and acceleration -0.340 m/s2. Suppose it moves with constant acceleration for 4.20 s. (a) Find the position of the particle after this time. 1-1.76 (b) Find its velocity at the end of this time interval. | 2 -1.19 V m/s We take the same particle and give it the same initial conditions as before. Instead of having a constant acceleration, it oscillates in simple harmonic motion for 4.20 s around the equilibrium position x = 0. Hint: the following problems are ver sensitive to rounding, and you should keep all digits in your calculator. (c) Find the angular frequency of the oscillation. Hint: in SHM, a is proportional to x. 3 1.12 /s (d) Find the amplitude of the oscillation. Hint: use conservation of energy. 4 0.339 (e) Find its phase constant Po if cosine is used for the equation of motion. Hint: when taking the inverse of a trig function, there are always two angles but your calculator will tell you only one and you must decide which of the two angles you need. 5-64 rad (f) Find its position after it oscillates for 4.20 s. 6-0.2 (g) Find its velocity at the end of this 4.20 s time interval. Your response differs from the correct answer by more than 10%. Double check your calculations. m/s
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:A particle moves along the x axis. It is initially at the position 0.270 m, moving with velocity 0.230 m/s and acceleration
-0.340 m/s2. Suppose it moves with constant acceleration for 4.20 s.
(a) Find the position of the particle after this time.
-1.76
1
m
(b) Find its velocity at the end of this time interval.
2 -1.19
m/s
We take the same particle and give it the same initial conditions as before. Instead of having a constant acceleration, it
ocillates in simple harmonic motion for 4.20 s around the equilibrium position x = 0. Hint: the following problems are ver
sensitive to rounding, and you should keep all digits in your calculator.
(c) Find the angular frequency of the oscillation. Hint: in SHM, a is proportional to x.
1.12
/s
(d) Find the amplitude of the oscillation. Hint: use conservation of energy.
0.339
m
(e) Find its phase constant Po if cosine is used for the equation of motion. Hint: when taking the inverse of a trig
function, there are always two angles but your calculator will tell you only one and you must decide which of the
two angles you need.
5 -64
rad
(f) Find its position after it oscillates for 4.20 s.
6.
-0.2
m
(g) Find its velocity at the end of this 4.20 s time interval.
7
Your response differs from the correct answer by more than 10%. Double check your calculations. m/s
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