A2.00-kg object is attached to a spring and placed on a frictionless, horizontal surface. a horizontal force of 20.0n is required to hold the object at rest when it is pulled 0.200m from its equilibrium position (the origin of the x axis). the object is now released from rest from this stretched position, and it subsequently undergoes simple harmonic oscillations. find

(a) the force constant of the spring,
(b) the frequency of the oscillations, and
(c) the maximum speed of the object.
(d) where does this maximum speed occur?
(e) find the maximum acceleration of the object.
(f) where does the maximum acceleration occur?
(g) find the total energy of the oscillating system. find
(h) the speed and
(i) acceleration of the object when its position is equal to one-third the maximum value (of its displacement).

a. K=100N/m

b. F=1.22 Hz,. c. V=1.41m/s,. d. V is maximum at the mid point.

e. acceleration=9.91m/s²

f. At the ends where the restoring force is maximum

g. Total energy= 2J

h. Speed w = 7.04rad/s

I. Acceleration at one- third displacement= 6.6m/s²

Explanation: The procedures as been worked out clearly. I have attached it here. The questions are lenghty so it will be more convenient that way. Thanks for understanding.

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

the answer is a. hope this .