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 (b) Find its velocity at the end of this time interval. -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 oscillates in simple harmonic motion for 4.20 s around the equilibrium position x = 0. Hint: the following problems are very 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.
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 (b) Find its velocity at the end of this time interval. -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 oscillates in simple harmonic motion for 4.20 s around the equilibrium position x = 0. Hint: the following problems are very 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.
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I got the answer for A and B. I have to do C to G
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
(b) Find its velocity at the end of this time interval.
-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 oscillates in
simple harmonic motion for 4.20 s around the equilibrium position x =
0. Hint: the following problems are very 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.
Your response differs from the correct answer by more than 10%. Double check your calculations. /s
(d) Find the amplitude of the oscillation. Hint: use conservation of energy.
The response you submitted has the wrong sign. m
(e) Find its phase constant P, 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.
Your response differs from the correct answer by more than 10%. Double check your calculations. rad
(f) Find its position after it oscillates for 4.20 s.
m
(g) Find its velocity at the end of this 4.20 s time interval.
m/s
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