- 7 3 7 Points Details Previous Answers My Notes Practice Another A Particle Moves Along The Axis It Is Initially At T 1 (40.14 KiB) Viewed 40 times
- 7 3 7 Points Details Previous Answers My Notes Practice Another A Particle Moves Along The Axis It Is Initially At T 2 (40.14 KiB) Viewed 40 times
PREVIOUS ANSWERS
MY NOTES
PRACTICE ANOTHER
A particle moves along the x axis. It is initially at the position 0.100 m, moving with velocity 0.240 m/s and acceleration -0.350
m/s2. Suppose it moves with constant acceleration for 4.60 s.
(a) Find the position of the particle after this time.
-2.499
m
(b) Find its velocity at the end of this time interval.
-1.37
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 4.60 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.
1.87
/s
(d) Find the amplitude of the oscillation. Hint: use conservation of energy.
(e) Find its phase constant Pg 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.
rad
(f) Find its position after it oscillates for 4.60 s.
(a) Find its velocity at the end of this 4.60 s time interval.
m/s
8. [2/5 Points]
DETAILS
PREVIOUS ANSWERS
SERPSE10 15.2.0P.011.MI.
MY NOTES
PRACTICE ANOTHER
A 0.460-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of
10.8 cm. (Assume the position of the object is at the origin at t = 0.)
(a) Calculate the maximum value of its speed.
45.0
cm/s
(b) Calculate the maximum value of its acceleration.
187.800
cm/s?
(c) Calculate the value of its speed when the object is 8.80 cm from the equilibrium position
cm/s
(d) Calculate the value of its acceleration when the object is 8.80 cm from the equilibrium position.
cm/52
(e) Calculate the time interval required for the object to move from x = 0 to x = 2.80 cm.
- 7 3 7 Points Details Previous Answers My Notes Practice Another A Particle Moves Along The Axis It Is Initially At T 3 (40.14 KiB) Viewed 40 times
- 7 3 7 Points Details Previous Answers My Notes Practice Another A Particle Moves Along The Axis It Is Initially At T 4 (40.14 KiB) Viewed 40 times
7. [3/7 Points] DETAILS PREVIOUS ANSWERS MY NOTES PRACTICE ANOTHER A particle moves along the axis. It is initially at the position 0.100 m, moving with velocity 0.240 m/s and acceleration -0.350 m/s². Suppose it moves with constant acceleration for 4.60 s. (a) Find the position of the particle after this time. -2.499 (b) Find its velocity at the end of this time interval ✔ m/s -1.37 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 4.60 s around the equilibrium position 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 isproportional tox 1.87 ✔ Is (d) Find the amplitude of the oscillation. Hint: use conservation of energy. (e) Find its phase constant 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. rad (f) Find its position after it oscillates for 4.60 (9) Find its velocity at the end of this 4.60 s time interval m/s 8. [2/5 Points] DETAILS PREVIOUS ANSWERS MY NOTES PRACTICE ANOTHER A 0.460-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of 10.8 cm. (Assume the position of the object is at the origin at t-0.3 (a) Calculate the maximum value of its speed. 45.0 cm/s (b) Calculate the maximum value of its acceleration. 187.800 ✓cm/s² SERPSE 10 15.2.OP.011.MI. (c) Calculate the value of its speed when the object is 8.80 cm from the equilibrium position. cm/s (d) Calculate the value of its acceleration when the object is 5.80 om from the equilibrium position. cm/s2 (e) Calculate the time interval required for the object to move from x-0 tox- 2.80 cm. Need Help? Read